title: Stability of Coupled-Physics Inverse Problems with internal measurements

abstract:
  In this paper, we develop a general approach to prove stability for the non
linear second step of hybrid inverse problems. We work with general functionals
of the form $\sigma|\nabla u|^p$, $0 < p \leq 1$, where $u$ is the solution of
the elliptic partial differential equation $\nabla\cdot \sigma \nabla u =0$ on
a bounded domain $\Omega$ with boundary conditions $u|_{\partial \Omega} = f$.
We prove stability of the linearization and H\"older conditional stability for
the non-linear problem of recovering $\sigma$ from the internal measurement.


title:
Modeling off-resonant nonlinear-optical cascading in mesoscopic thin
  films and guest-host molecular systems

abstract:
  A model for off-resonant microscopic cascading of (hyper)polarizabilities is
developed using a self-consistent field approach to study mesoscopic systems of
nonlinear polarizable atoms and molecules. We find enhancements in the
higher-order susceptibilities resulting from geometrical and boundary
orientation effects. We include an example of the dependence on excitation beam
cross sectional structure and a simplified derivation of the microscopic
cascading of the nonlinear optical response in guest-host systems.


title: Marcus rate for electron transfer and the Goldilocks principle

abstract:
  We examine electron transfer between two quantum states in the presence of a
dissipative environment represented as a set of independent harmonic
oscillators. For this simple model, the Marcus transfer rates can be derived
and we show that these rates are associated to an explicit expression for the
environment correlation time. We demonstrate that as a manifestation of the
Goldilocks principle, the optimal transfer is governed by a single parameter
which is equal to just the inverse root square of two.


title: On the Stability of D7 - anti-D7 Probes in Near-conformal Backgrounds

abstract:
  We investigate the perturbative stability of a nonsupersymmetric D7 - anti-D7
brane embedding in a particular class of type IIB backgrounds. These
backgrounds are the gravitational duals of certain strongly-coupled gauge
theories, that exhibit a nearly conformal regime (known as a walking regime).
Previous studies in the literature have led to conflicting results as to
whether the spectrum of fluctuations around the flavor D7 - anti-D7 embedding
has a tachyonic mode or not. Here we reconsider the problem with a new
analytical method and recover the previously obtained numerical results. We
also point out that the earlier treatments relied on a coordinate system, in
which it was not possible to take into account fluctuations of the point of
confluence of the D7 - anti-D7 branes. Using an improved coordinate system, we
confirm the presence of a normalizable tachyonic mode in this model, in
agreement with the numerical calculations. Finally, we comment on the
possibility of turning on worldvolume flux to stabilize the probe branes
configuration.


title: Optical control of scattering, absorption and lineshape in nanoparticles

abstract:
  We find exact conditions for the enhancement or suppression of internal
and/or scattered fields and the determination of their spatial distribution or
angular momentum through the combination of simple fields. The incident fields
can be generated by a single monochromatic or broad band light source, or by
several sources, which may also be impurities embedded in the nanoparticle. We
can design the lineshape of a particle introducing very narrow features in its
spectral response.


title: Quasicoherent sheaves on toric schemes

abstract:
  Let X be the toric scheme over a ring R associated with a fan Sigma. It is
shown that there are a group B, a B-graded R-algebra S and a graded ideal I of
S such that there is an essentially surjective, exact functor ~ from the
category of B-graded S-modules to the category of quasicoherent O_X-modules
that vanishes on I-torsion modules and that induces for every B-graded S-module
F a surjection Xi_F from the set of I-saturated graded sub-S-modules of F onto
the set of quasicoherent sub-O_X-modules of ~F. If Sigma is simplicial, the
above data can be chosen such that ~ vanishes precisely on I-torsion modules
and that Xi_F is bijective for every F. In case R is noetherian, a toric
version of the Serre-Grothendieck correspondence is proven, relating sheaf
cohomology on X with B-graded local cohomology with support in I.


title: B2O3 glass former as a molecular matter revealed by heat capacity

abstract:
  Heat capacity of B2O3 glass former in a wide temperature region is described
well with the intrinsic motions for non-spherical B2O3 molecules, revealing
that rather than a conventional network glass former, B2O3 is a typical
molecular matter in which the transition from liquid to glass in the system
corresponds to the frozen of translational motions for molecules. The finding
might provide an opportunity to understand the mysterious glass transition, as
well as the intrinsic difference between solids and liquids.


title:
Simulation of electron-positron annihilation into hadrons with the event
  generator PHOKHARA

abstract:
  The precise determination of the cross section for electron-positron
annihilation into hadrons is one of the central tasks of ongoing experiments at
low energy colliders. These measurements have to be complemented by Monte Carlo
generators which simulate a large number of final states and include higher
order radiative corrections. With this motivation in mind the generator
PHOKHARA is extended to allow for the simulation of final states with zero, one
or two real photons. At the same time corrections from the emission of one or
two virtual photons are included, such that a full next-to-next-to leading
order generator is available. The stability and consistency of the program is
tested. The results (for muon-pair final states) are compared to the programs
KKMC and MCGPJ and implications for the analysis of various hadronic final
states are investigated.


title: On Determinism and Bell Test

abstract:
  Many Bell test results violate Bell's inequality. The premise of Bell's
inequality is local determinism. We propose that, it can't be proved that
something's mechanism isn't deterministic; if loopholes are not the reason of
violation of Bell's inequality, violation of Bell's inequality illustrates that
the mechanism isn't local. We propose a new explanation of Bell test, and the
explanation illustrates the locality loophole is not closed by Weihs'
experiment.


title:
Sign-preserving of principal eigenfunctions in P1 finite element
  approximation of eigenvalue problems of second-order elliptic operators

abstract:
  This paper is concerned with the P1 finite element approximation of the
eigenvalue problem of second-order elliptic operators subject to the Dirichlet
boundary condition. The focus is on the preservation of basic properties of the
principal eigenvalue and eigenfunctions of continuous problems. It is shown
that when the stiffness matrix is an irreducible $M$-matrix, the algebraic
eigenvalue problem maintains those properties such as the smallest eigenvalue
being real and simple and the corresponding eigenfunctions being either
positive or negative inside the physical domain. Mesh conditions leading to
such a stiffness matrix are also studied. A sufficient condition is that the
mesh is simplicial, acute when measured in the metric specified by the inverse
of the diffusion matrix, and interiorly connected. The acute requirement can be
replaced by the Delaunay condition in two dimensions. Numerical results are
presented to verify the theoretical findings.


title: Breakdown of Kohn Theorem Near Feshbach Resonance

abstract:
  We study the collective excitation frequencies of a harmonically trapped 85Rb
Bose-Einstein condensate (BEC) in the vicinity of a Feshbach resonance. To this
end, we solve the underlying Gross-Pitaevskii (GP) equation by using a Gaussian
variational approach and obtain the coupled set of ordinary differential
equations for the widths and the center of mass of the condensate. A
linearization shows that the dipole mode frequency decreases when the bias
magnetic field approaches the Feshbach resonance, so the Kohn theorem is
violated.


title:
Dynamics of an optomechanical resonator containing a Quantum Well
  induced by periodic modulation of cavity field and external laser beam

abstract:
  We study in detail the dynamics of a non-stationary system composed of a
Quantum Well confined in an optomechanical cavity. This system is investigated
with classical and quantized motion of the cavity movable mirror. In both the
cases, the cavity frequency is rapidly modulated in time. The resultant
periodically modulated spectra is presented. In particular, we study the effect
of two-photon process on the number of intracavity photons. The intensity of
fluorescent light emitted by excitons in the quantum well is also examined for
these non-stationary systems. It is observed that the initial stage of
fluorescence spectrum helps in detecting the two-photon process. It is also
noticed that under strong modulation, two-photon process dominates while under
weak modulation, fluorescence dominates. We also analyzed the dynamics of the
system induced by a periodic modulation of the external pump laser with
constant cavity frequency. This modulation of external laser pump helps in
phonon amplification.


title: Rota-Baxter 3-Lie algebras

abstract:
  In this paper we introduce the concepts of a Rota-Baxter operator and a
differential operator with weights on an $n$-algebra. We then focus on
Rota-Baxter 3-Lie algebras and show that they can be derived from Rota-Baxter
Lie algebras and pre-Lie algebras and from Rota-Baxter commutative associative
algebras with derivations. We also establish the inheritance property of
Rota-Baxter 3-Lie algebras.


title: The Induced Charge Signal of Glass RPC Detector

abstract:
  The gas detector glass resistivity parallel chamber (GRPC) is proposed to use
in the Hadron calorimeter (HCAL), the read-out system is based on the
semi-digital system, then the charge information from GRPC is needed. To better
understand the charge comes out from GRPC, we started from cosmic ray test to
get the charge distribution and then study the induced charge distribution on
the collection pad, after successfully compared with the prototype beam test
data at CERN (European Council for Nuclear Research), the process was finally
implanted into the Geant4 based simulation for future study.


title:
Conditional statistical physical properties in two-joint complex systems
  having long-range interactions

abstract:
  We propose the sum and the difference of the normalized velocity of two-joint
systems to describe its long-range interaction. It is found that the
conditional probability distribution function (CPDF) of the normalized velocity
between two-joint systems can be derived. The analytical CPDF needs only six
parameters for arbitrary two-joint systems. Two typical currency exchange
databases, i.e., EUR/USD and GBP/USD, which collect the minutely opening
exchange prices from 1 January 1999 to 31 December 2011, are adopted as
example. By calculating the CPDF in the currency exchange databases, it is
shown that all of the results are well described by our theory. We also use the
analytical CPDF to calculate the entropy of two-joint systems, it is found that
the entropy of two-joint systems is less than the sum of entropy of each system
in the two currency exchange databases. It means that some information of
two-joint systems may overlap. We must important to note that the results
presented here do not need to know the form of interaction of two-joint
systems, and the analytical CPDF is a general expression. It is valid not only
for current exchange systems, but also helpful for investigate other
conditional statistical properties in any two-joint long-range interactions
complex systems.


title: Entropy driven multi-photon frequency up-conversion

abstract:
  Frequency up-conversion of few low-energy photons into a single high-energy
photon, greatly contributes to imaging, light sources, detection and other
fields of research. However, it offers negligible efficiency when up-converting
many photons. This is because coherent process are fundamentally limited due to
momentum conservation requirements, while in incoherent up-conversion the
finite intermediate states lifetime requires huge intensities.
Thermodynamically, conventional incoherent up-conversion is driven by the
internal energy of the incoming photons. However, a system can also drive work
through change in its collective properties such as entropy. Here we
experimentally demonstrate entropy driven ten-fold up-conversion from 10.6{\mu}
to 1{\mu}m at internal efficiency above 27% and total efficiency above 10%. In
addition, the emitted radiance at 1{\mu}m exceeds the maximal possible
Black-Body radiance of our device, indicating emitter's effective-temperature
that is considerably above the bulk-temperature. This work opens the way for
up-conversion of thermal-radiation, and high-temperature chemistry done at
room-temperature.


title: Constructing 3-Lie algebras

abstract:
  3-Lie algebras are constructed by Lie algebras, derivations and linear
functions, associative commutative algebras, whose involutions and derivations.
Then the 3-Lie algebras are obtained from group algebras $F[G]$. An infinite
dimensional simple 3-Lie algebra $(A, [,,]_{\omega, \delta_0})$ and a
non-simple 3-Lie algebra $(A, [,,]_{\omega_1, \delta})$ are constructed by
Laurent polynomials $A=F[t, t^{-1}]$ and its involutions $\omega$ and
$\omega_1$ and derivations $\delta$ and $\delta_0$. At last of the paper, we
summarize the methods of constructing $n$-Lie algebras for $n\geq 3$ and
provide a problem.


title:
Deficit of reactor antineutrinos at distances smaller than 100 m and
  inverse beta-decay

abstract:
  We analyse a change of a deficit of reactor antineutrinos at distances
smaller than 100 m by changing the lifetime of the neutron from tau_n = 885.7 s
to tau_n = 879.6 s, calculated for the axial coupling constants lambda = -
1.2694 and lambda = - 1.2750, respectively, in order to get a result
corresponding the new world average value tau_n = 880.1(1.1) s. We calculate
the angular distribution and cross section for the inverse beta-decay, taking
into account the contributions of the "weak magnetism" and the neutron recoil
to next-to-leading order in the large baryon mass expansion and the radiative
corrections of order alpha/\pi ~ 10^(-3), calculated to leading order in the
large baryon mass expansion. We obtain an increase of a deficit of reactor
antineutrinos in of about 0.734%.


title: Long time existence for the bosonic membrane in the light cone gauge

abstract:
  This paper mainly aims to establish the well-posedness on time interval
$[0,\varepsilon^{-\frac{1}{2}}T]$ of the classical initial problem for the
bosonic membrane in the light cone gauge. Here $\varepsilon$ is the small
parameter measures the nonlinear effects. In geometric, the bosonic membrane
are timelike submanifolds with vanishing mean curvature. Since the initial
Riemannian metric may be degenerate or non-degenerate, the corresponding
equation can be reduce to a quasi-linear degenerate or non-degenerate
hyperbolic system of second order with an area preserving constraint via a
Hamiltonian reduction.


title: Stability estimates for discrete harmonic functions on product domains

abstract:
  We study the Dirichlet problem for discrete harmonic functions in unbounded
product domains on multidimensional lattices. First we prove some versions of
the Phragm\'en-Lindel\"of theorem and use Fourier series to obtain a discrete
analog of the three-line theorem for the gradients of harmonic functions in a
strip. Then we derive estimates for the discrete harmonic measure and use
elementary spectral inequalities to obtain stability estimates for Dirichlet
problem in cylinder domains.


title: Large Deviations of Shepp Statistics for Fractional Brownian Motion

abstract:
  Define the incremental fractional Brownian field $B_{H}(s+\tau)-B_{H}(s),
H\in (0,1)$, where $B_{H}(s)$ is a standard fractional Brownian motion with
Hurst index $H\in(0,1)$. In this paper we derive the exact asymptotic behaviour
of the maximum $\max_{(\tau,s)\in[0,1]\times[0,T]} (B_{H}(s+\tau)-B_{H}(s)) $
for any $H\in (0,1/2)$ complimenting thus the result of Zholud (2008) for the
Brownian motion.


title: Variational inference for sparse spectrum Gaussian process regression

abstract:
  We develop a fast variational approximation scheme for Gaussian process (GP)
regression, where the spectrum of the covariance function is subjected to a
sparse approximation. Our approach enables uncertainty in covariance function
hyperparameters to be treated without using Monte Carlo methods and is robust
to overfitting. Our article makes three contributions. First, we present a
variational Bayes algorithm for fitting sparse spectrum GP regression models
that uses nonconjugate variational message passing to derive fast and efficient
updates. Second, we propose a novel adaptive neighbourhood technique for
obtaining predictive inference that is effective in dealing with
nonstationarity. Regression is performed locally at each point to be predicted
and the neighbourhood is determined using a measure defined based on
lengthscales estimated from an initial fit. Weighting dimensions according to
lengthscales, this downweights variables of little relevance, leading to
automatic variable selection and improved prediction. Third, we introduce a
technique for accelerating convergence in nonconjugate variational message
passing by adapting step sizes in the direction of the natural gradient of the
lower bound. Our adaptive strategy can be easily implemented and empirical
results indicate significant speedups.


title:
On the Supremum of gamma-reflected Processes with Fractional Brownian
  Motion as Input

abstract:
  Let $X_H(t), t\ge 0$ be a fractional Brownian motion with Hurst index
$H\in(0,1}$ and define a gamma-reflected process
$W_\Ga(t)=X_H(t)-ct-\gammainf_{s\in[0,t]}\left(X_H(s)-cs \right)$, $t\ge0$ with
$c>0,\gamma \in [0,1]$ two given constants. In this paper we establish the
exact tail asymptotic behaviour of $\sup_{t\in [0,T]} W_\gamma(t)$ for any
$T\in (0,\IF]$. Furthermore, we derive the exact tail asymptotic behaviour of
the supremum of certain non-homogeneous mean-zero Gaussian random fields.


title:
In-Gap Quasiparticle Excitations Induced by Non-Magnetic Cu Impurities
  in Na(Fe0.96Co0.03Cu0.01)As Revealed by Scanning Tunneling Spectroscopy

abstract:
  The pairing mechanism in the iron pnictides remains unresolved yet. One of
the central issues is the structure of the superconducting order parameter
which classifies the community into two different and highly disputed camps. On
one hand the picture of pairing based on the magnetic origin predicts a sign
reversal gap on the electron and hole Fermi pockets, leading to the S+-
pairing. On the other hand, a more conventional S++ pairing gap was suggested
based on the phonon or orbital fluctuation mediated pairing. In the
superconducting state, the impurities may generate a unique pattern of local
density of states in space and energy, which are regarded as the fingerprints
for checking the structure of the pairing gap. In this study, we successfully
identified the non-magnetic and magnetic impurities in Na(Fe0.97-xCo0.03Tx)As
(T=Cu, Mn) and investigated the spatial resolved scanning tunneling
spectroscopy. We present clear evidence of the in-gap quasiparticle states
induced by the nonmagnetic Cu impurities, giving decisive evidence of the S+-
pairing. This is corroborated by the consistency between the experimental data
and the first-principles calculations based on the S+- pairing gap with a
scalar scattering potential.


title: Apparent contours of nonsingular real cubic surfaces

abstract:
  We give a complete deformation classification of real Zariski sextics, that
is of generic apparent contours of nonsingular real cubic surfaces. As a
by-product, we observe a certain "reversion" duality in the set of deformation
classes of these sextics.


title:
Comparing Edge Detection Methods based on Stochastic Entropies and
  Distances for PolSAR Imagery

abstract:
  Polarimetric synthetic aperture radar (PolSAR) has achieved a prominent
position as a remote imaging method. However, PolSAR images are contaminated by
speckle noise due to the coherent illumination employed during the data
acquisition. This noise provides a granular aspect to the image, making its
processing and analysis (such as in edge detection) hard tasks. This paper
discusses seven methods for edge detection in multilook PolSAR images. In all
methods, the basic idea consists in detecting transition points in the finest
possible strip of data which spans two regions. The edge is contoured using the
transitions points and a B-spline curve. Four stochastic distances, two
differences of entropies, and the maximum likelihood criterion were used under
the scaled complex Wishart distribution; the first six stem from the h-phi
class of measures. The performance of the discussed detection methods was
quantified and analyzed by the computational time and probability of correct
edge detection, with respect to the number of looks, the backscatter matrix as
a whole, the SPAN, the covariance an the spatial resolution. The detection
procedures were applied to three real PolSAR images. Results provide evidence
that the methods based on the Bhattacharyya distance and the difference of
Shannon entropies outperform the other techniques.


title: Optimal Rescaling and the Mahalanobis Distance

abstract:
  One of the basic problems in data analysis lies in choosing the optimal
rescaling (change of coordinate system) to study properties of a given data-set
$Y$. The classical Mahalanobis approach has its basis in the classical
normalization/rescaling formula $Y \ni y \to \Sigma_Y^{-1/2} \cdot
(y-\mathrm{m}_Y)$, where $\mathrm{m}_Y$ denotes the mean of $Y$ and $\Sigma_Y$
the covariance matrix .
  Based on the cross-entropy we generalize this approach and define the
parameter which measures the fit of a given affine rescaling of $Y$ compared to
the Mahalanobis one. This allows in particular to find an optimal change of
coordinate system which satisfies some additional conditions. In particular we
show that in the case when we put origin of coordinate system in $ \mathrm{m} $
the optimal choice is given by the transformation $Y \ni y \to \Sigma_Y^{-1/2}
\cdot (y-\mathrm{m}_Y)$, where $$
\Sigma=\Sigma_Y(\Sigma_Y-\frac{(\mathrm{m}-\mathrm{m}_Y)(\mathrm{m}-\mathrm{m}_Y)^T}{1+\|\mathrm{m}-\mathrm{m}_Y\|_{\Sigma_Y}^2})^{-1}\Sigma_Y.
$$


title: Wolstenholme and Morley, Primes and Pseudoprimes

abstract:
  In this note, we prove $p^2$ is a Morley pseudoprime (of order 2) iff $p^2$
is a Wolstenholme pseudoprime (of order 2) iff $p$ is a Wolstenholme prime iff
$p$ is a Morley prime. Concerning pseudoprimes of order 1 that are not powers
of primes, only 3 are known of Wolstenholme's type and absolutely none have yet
been identified of Morley's type.


title: Strange freezeout

abstract:
  We argue that known systematics of hadron cross sections may cause different
particles to freeze out of the fireball produced in heavy-ion collisions at
different times. We find that a simple model with two freezeout points is a
better description of data than that with a single freezeout, while still
remaining predictive. The resulting fits seem to present constraints on the
late stage evolution of the fireball, including the tantalizing possibility
that the QCD chiral transition influences the yields at sqrt(S)=2700 GeV and
the QCD critical point those at sqrt(S)=17.3 GeV.


title: Elliptic curves of bounded degree in a polarized Abelian variety

abstract:
  For a polarized complex Abelian variety A, of dimension g>1, we study the
function N_A(t) counting the number of elliptic curves in A with degree bounded
by t. We describe elliptic curves as solutions of Diophantine equations which,
at least for small dimensions g=2 and g=3, can actually be made explicit, and
we show that computing the number of solutions is reduced to the classical
topic in Number Theory of counting points of the lattice Z^n lying on an
explicit bounded subset of R^n. We obtain, for Abelian varieties of small
dimension, some upper bounds for the counting function.


title:
Investigating the linear structure of Boolean functions based on Simon's
  period-finding quantum algorithm

abstract:
  It is believed that there is no efficient classical algorithm to determine
the linear structure of Boolean function. We investigate an extension of
Simon's period-finding quantum algorithm, and propose an efficient quantum
algorithm to determine the linear structure of Boolean function.


title:
CSMA over Time-varying Channels: Optimality, Uniqueness and Limited
  Backoff Rate

abstract:
  Recent studies on MAC scheduling have shown that carrier sense multiple
access (CSMA) algo- rithms can be throughput optimal for arbitrary wireless
network topology. However, these results are highly sensitive to the underlying
assumption on 'static' or 'fixed' system conditions. For example, if channel
conditions are time-varying, it is unclear how each node can adjust its CSMA
parameters, so-called backoff and channel holding times, using its local
channel information for the desired high performance. In this paper, we study
'channel-aware' CSMA (A-CSMA) algorithms in time-varying channels, where they
adjust their parameters as some function of the current channel capacity.
First, we show that the achievable rate region of A-CSMA equals to the maximum
rate region if and only if the function is exponential. Furthermore, given an
exponential function in A-CSMA, we design updating rules for their parameters,
which achieve throughput optimality for an arbitrary wireless network topology.
They are the first CSMA algorithms in the literature which are proved to be
throughput optimal under time-varying channels. Moreover, we also consider the
case when back-off rates of A- CSMA are highly restricted compared to the speed
of channel variations, and characterize the throughput performance of A-CSMA in
terms of the underlying wireless network topology. Our results not only guide a
high-performance design on MAC scheduling under highly time-varying scenarios,
but also provide new insights on the performance of CSMA algorithms in relation
to their backoff rates and the network topology.


title:
The resolution of the Yang-Mills Plateau problem in super-critical
  dimensions

abstract:
  We study the minimization problem for the Yang-Mills energy under fixed
boundary connection in supercritical dimension $n\geq 5$. We define the natural
function space A_{G} in which to formulate this problem in analogy to the space
of integral currents used for the classical Plateau problem. The space A_{G}
can be also interpreted as a space of weak connections on a "real measure
theoretic version" of reflexive sheaves from complex geometry. We prove the
weak closure result which ensures the existence of energy-minimizing weak
connections in A_{G}. We then prove that any weak connection from A_{G} can be
obtained as a L^2-limit of classical connections over bundles with defects.
This approximation result is then extended to a Morrey analogue. We prove the
optimal regularity result for Yang-Mills local minimizers. On the way to prove
this result we establish a Coulomb gauge extraction theorem for weak curvatures
with small Yang-Mills density. This generalizes to the general framework of
weak $L^2$ curvatures previous works of Meyer-Rivi\`ere and Tao-Tian in which
respectively a strong approximability property and an admissibility property
were assumed in addition.


title:
Comment on 'Discussions on common errors in analyzing sea level
  accelerations, solar trends and global warming'

abstract:
  Comment on Scafetta, Nicola. 'Discussion on Common Errors in Analyzing Sea
Level Accelerations, Solar Trends and Global Warming.' arXiv:1305.2812 (May 13,
2013a). doi:10.5194/prp-1-37-2013.


title: Asymptotic enumeration of sparse uniform hypergraphs with given degrees

abstract:
  Let $r \geq 2$ be a fixed integer. For infinitely many $n$, let
$\boldsymbol{k} = (k_1,..., k_n)$ be a vector of nonnegative integers such that
their sum $M$ is divisible by $r$. We present an asymptotic enumeration formula
for simple $r$-uniform hypergraphs with degree sequence $k$. (Here "simple"
means that all edges are distinct and no edge contains a repeated vertex.) Our
formula holds whenever the maximum degree $k_{\mathrm{max}}$ satisfies
$k_{\mathrm{max}}^3 = o(M)$.


title:
Critical magnetic field in holographic superconductor in Gauss-Bonnet
  gravity with Born-Infeld electrodynamics

abstract:
  In the paper using matching method in the probe limit, we investigate some
properties of holographic superconductor in Gauss-Bonnet gravity with
Born-Infeld electrodynamics . We discuss the effects of the Gauss-Bonnet
coupling $\a$ and Born-Infeld parameter $b$ on the critical temperature and
condensate. We find that both of $\a$ and $b$ make the critical temperature
decrease, which implies the condensate harder to form.
  Moreover we study the magnetic effect on holographic superconductor and
obtain that the ratio between the critical magnetic field and the square of the
critical temperature increases from zero as the temperature is lowered below
the critical value $T_c$, which agrees well with the former results. We also
find the critical magnetic field is indeed affected by Gauss-Bonnet coupling,
but not by Born-Infeld parameter.


title:
The early exercise premium representation for American options on
  multiply assets

abstract:
  In the paper we consider the problem of valuation of American options written
on dividend-paying assets whose price dynamics follow the classical
multidimensional Black and Scholes model. We provide a general early exercise
premium representation formula for options with payoff functions which are
convex or satisfy mild regularity assumptions. Examples include index options,
spread options, call on max options, put on min options, multiply strike
options and power-product options. In the proof of the formula we exploit close
connections between the optimal stopping problems associated with valuation of
American options, obstacle problems and reflected backward stochastic
differential equations.


title: CSI Feedback Reduction for MIMO Interference Alignment

abstract:
  Interference alignment (IA) is a linear precoding strategy that can achieve
optimal capacity scaling at high SNR in interference networks. Most of the
existing IA designs require full channel state information (CSI) at the
transmitters, which induces a huge CSI signaling cost. Hence it is desirable to
improve the feedback efficiency for IA and in this paper, we propose a novel IA
scheme with a significantly reduced CSI feedback. To quantify the CSI feedback
cost, we introduce a novel metric, namely the feedback dimension. This metric
serves as a first-order measurement of CSI feedback overhead. Due to the
partial CSI feedback constraint, conventional IA schemes can not be applied and
hence, we develop a novel IA precoder / decorrelator design and establish new
IA feasibility conditions. Via dynamic feedback profile design, the proposed IA
scheme can also achieve a flexible tradeoff between the degree of freedom (DoF)
requirements for data streams, the antenna resources and the CSI feedback cost.
We show by analysis and simulations that the proposed scheme achieves
substantial reductions of CSI feedback overhead under the same DoF requirement
in MIMO interference networks.


title:
Energy calibration and resolution of the CMS electromagnetic calorimeter
  in pp collisions at sqrt(s) = 7 TeV

abstract:
  The energy calibration and resolution of the electromagnetic calorimeter
(ECAL) of the CMS detector have been determined using proton-proton collision
data from LHC operation in 2010 and 2011 at a centre-of-mass energy of
sqrt(s)=7 TeV with integrated luminosities of about 5 inverse femtobarns.
Crucial aspects of detector operation, such as the environmental stability,
alignment, and synchronization, are presented. The in-situ calibration
procedures are discussed in detail and include the maintenance of the
calibration in the challenging radiation environment inside the CMS detector.
The energy resolution for electrons from Z-boson decays is better than 2% in
the central region of the ECAL barrel (for pseudorapidity abs(eta)<0.8) and is
2-5% elsewhere. The derived energy resolution for photons from 125 GeV Higgs
boson decays varies across the barrel from 1.1% to 2.6% and from 2.2% to 5% in
the endcaps. The calibration of the absolute energy is determined from Z to
e+e- decays to a precision of 0.4% in the barrel and 0.8% in the endcaps.


title: Symmetries shared by the Poincar\'e Group and the Poincar\'e Sphere

abstract:
  Henri Poincar\'e formulated the mathematics of Lorentz transformations, known
as the Poincar\'e group. He also formulated the Poincar\'e sphere for
polarization optics. It is shown that these two mathematical instruments can be
derived from the two-by-two representations of the Lorentz group. Wigner's
little groups for internal space-time symmetries are studied in detail. While
the particle mass is a Lorentz-invariant quantity, it is shown possible to
address its variations in terms of the decoherence mechanism in polarization
optics.


title:
Propagation of galactic cosmic rays in the presence of self-generated
  turbulence

abstract:
  Cosmic rays propagating in the Galaxy may excite a streaming instability when
their motion is super-alfvenic, thereby producing the conditions for their own
diffusion. In this paper we present the results of a self-consistent solution
of the transport equation where diffusion occurs because of the self-generated
turbulence together with a pre-existing turbulence injected, for instance, by
supernova explosions and cascading to smaller scales. All chemicals are
included in our calculations, so that we are able to show the secondary to
primary ratios in addition to the spectra of the individual elements. All
predictions appear to be in good agreement with observations. The fact that
data are explained with no need for artificial breaks in the injection spectrum
and/or in the diffusion coefficient as functions of momentum can be interpreted
as a strong indication that the phenomenon proposed here is in fact being
observed in Nature. We also show that there is very good agreement between the
calculated proton spectrum and the cosmic ray spectrum inferred from
observations of the gamma ray emission from clouds in the Gould's belt.


title:
Proceedings Fourth International Workshop on Computational Models for
  Cell Processes

abstract:
  The fourth international workshop on Computational Models for Cell Processes
(CompMod 2013) took place on June 11, 2013 at the {\AA}bo Akademi University,
Turku, Finland, in conjunction with iFM 2013. The first edition of the workshop
(2008) took place in Turku, Finland, in conjunction with Formal Methods 2008,
the second edition (2009) took place in Eindhoven, the Netherlands, as well in
conjunction with Formal Methods 2009, and the third one took place in Aachen,
Germany, in conjunction with CONCUR 2013. This volume contains the final
versions of all contributions accepted for presentation at the workshop.
  The goal of the CompMod workshop series is to bring together researchers in
Computer Science and Mathematics (both discrete and continuous), interested in
the opportunities and the challenges of Systems Biology. The Program Committee
of CompMod 2013 selected 3 papers for presentation at the workshop. In
addition, we had two invited talks and five informal presentations.
  The scientific program of the workshop spans an interesting mix of approaches
to systems and even synthetic biology, encompassing several different modeling
approaches, ranging from quantitative to qualitative techniques, from
continuous to discrete mathematics, and from deterministic to stochastic
methods. We thank our invited speakers Daniela Besozzi (Universita degli Studi
di Milano, Milano, Italy) and Juho Rousu (Aalto University, Finland) for
accepting our invitation and for presenting some of their recent results at
CompMod 2013.
  The technical contributions address the mathematical modeling of the PDGF
signalling pathway, the canonical labelling of site graphs, rule-based modeling
of polymerization reactions, rule-based modeling as a platform for the analysis
of synthetic self-assembled nano-systems, robustness analysis of stochastic
systems, an algebraic approach to gene assembly in ciliates, and large-scale
text mining of biomedical literature.


title: Graphs with few 3-cliques and 3-anticliques are 3-universal

abstract:
  For given integers k, l we ask whether every large graph with a sufficiently
small number of k-cliques and k-anticliques must contain an induced copy of
every l-vertex graph. Here we prove this claim for k=l=3 with a sharp bound. A
similar phenomenon is established as well for tournaments with k=l=4.


title:
G-Brownian Motion as Rough Paths and Differential Equations Driven by
  G-Brownian Motion

abstract:
  The present paper is devoted to the study of sample paths of G-Brownian
motion and stochastic differential equations (SDEs) driven by G-Brownian motion
from the view of rough path theory. As the starting point, we show that
quasi-surely, sample paths of G-Brownian motion can be enhanced to the second
level in a canonical way so that they become geometric rough paths of roughness
2 < p < 3. This result enables us to introduce the notion of rough differential
equations (RDEs) driven by G-Brownian motion in the pathwise sense under the
general framework of rough paths. Next we establish the fundamental relation
between SDEs and RDEs driven by G-Brownian motion. As an application, we
introduce the notion of SDEs on a differentiable manifold driven by GBrownian
motion and construct solutions from the RDE point of view by using pathwise
localization technique. This is the starting point of introducing G-Brownian
motion on a Riemannian manifold, based on the idea of Eells-Elworthy-Malliavin.
The last part of this paper is devoted to such construction for a wide and
interesting class of G-functions whose invariant group is the orthogonal group.
We also develop the Euler-Maruyama approximation for SDEs driven by G-Brownian
motion of independent interest.


title:
Metallic Interface Emerging at Magnetic Domain Wall of Antiferromagnetic
  Insulator---Fate of Extinct Weyl Electrons

abstract:
  Topological insulators, in contrast to ordinary semiconductors, accompany
protected metallic surfaces described by Dirac-type fermions. Here, we
theoretically show another emergent two-dimensional metal embedded in the bulk
insulator is realized at a magnetic domain wall. The domain wall has long been
studied as ingredients of both old-fashioned and leading-edge spintronics. The
domain wall here, as an interface of seemingly trivial antiferromagnetic
insulators, emergently realizes a functional interface preserved by zero modes
with robust two-dimensional Fermi surfaces, where pyrochlore iridium oxides
proposed to host condensed-matter realization of Weyl fermions offer such
examples at low temperatures. The existence of ingap states pinned at domain
walls, theoretically resembling spin/charge solitons in polyacetylene, and
protected as the edge of hidden one-dimensional weak Chern insulators
characterized by a zero-dimensional class A topological invariant, solves
experimental puzzles observed in R2Ir2O7 with rare earth elements R. The domain
wall realizes a novel quantum confinement of electrons and embosses a net
uniform magnetization, which enables magnetic control of electronic interface
transports beyond semiconductor paradigm.


title:
Measuring nebular temperatures: the effect of new collision strengths
  with equilibrium and kappa-distributed electron energies

abstract:
  In this paper we develop tools for observers to use when analysing nebular
spectra for temperatures and metallicities, with two goals: to present a new,
simple method to calculate equilibrium electron temperatures for collisionally
excited line flux ratios, using the latest atomic data; and to adapt current
methods to include the effects of possible non-equilibrium '{\kappa}' electron
energy distributions. Adopting recent collision strength data for [O iii], [S
iii], [O ii], [S ii], and [N ii], we find that existing methods based on older
atomic data seriously overestimate the electron temperatures, even when
considering purely Maxwellian statistics. If {\kappa} distributions exist in H
ii regions and planetary nebulae as they do in solar system plasmas, it is
important to investigate the observational consequences. This paper continues
our previous work on the {\kappa} distribution (Nicholls et al. 2012). We
present simple formulaic methods that allow observers to (a) measure
equilibrium electron temperatures and atomic abundances using the latest atomic
data, and (b) to apply simple corrections to existing equilibrium analysis
techniques to allow for possible non-equilibrium effects. These tools should
lead to better consistency in temperature and abundance measurements, and a
clearer understanding of the physics of H ii regions and planetary nebulae.


title: The ridgelet transform of distributions

abstract:
  We define and study the ridgelet transform of (Lizorkin) distributions. We
establish connections with the Radon and wavelet transforms.


title:
Flexibly-bounded Rationality and Marginalization of Irrationality
  Theories for Decision Making

abstract:
  In this paper the theory of flexibly-bounded rationality which is an
extension to the theory of bounded rationality is revisited. Rational decision
making involves using information which is almost always imperfect and
incomplete together with some intelligent machine which if it is a human being
is inconsistent to make decisions. In bounded rationality, this decision is
made irrespective of the fact that the information to be used is incomplete and
imperfect and that the human brain is inconsistent and thus this decision that
is to be made is taken within the bounds of these limitations. In the theory of
flexibly-bounded rationality, advanced information analysis is used, the
correlation machine is applied to complete missing information and artificial
intelligence is used to make more consistent decisions. Therefore
flexibly-bounded rationality expands the bounds within which rationality is
exercised. Because human decision making is essentially irrational, this paper
proposes the theory of marginalization of irrationality in decision making to
deal with the problem of satisficing in the presence of irrationality.


title: Variational principle for fractional kinetics and the L\'evy Ansatz

abstract:
  A variational principle is developed for fractional kinetics based on the
auxiliary-field formalism. It is applied to the Fokker-Planck equation with
spatio-temporal fractionality, and a variational solution is obtained with the
help of the L\'evy Ansatz. It is shown how the whole range from subdiffusion to
superdiffusion is realized by the variational solution, as a competing effect
between the long waiting time and the long jump. The motion of the center of
the probability distribution is also analyzed in the case of a periodic drift.


title: CVD Formation of Graphene on SiC Surface in Argon Atmosphere

abstract:
  We investigate the microscopic processes leading to graphene growth by the
chemical vapor deposition of propane in the argon atmosphere at the SiC
surface. Experimentally, it is known that the presence of argon fastens the
dehydrogenation processes at the surface, in high temperature of about 2000K.
We perform ab-initio calculations, at zero temperature, to check whether
chemical reactions can explain this phenomenon. Density functional theory and
supporting quantum chemistry methods qualitatively describe formation of the
graphene wafers. We find that the 4H-SiC(0001) surface exibits large catalytic
effect in the adsorption process of hydrocarbon molecules, this is also
supported by preliminary molecular dynamics results. Existence of the ArH+
molecule, and an observation from the Raman spectra that the negative charge
transfers into the SiC surface, would suggest that presence of argon atoms
leads to a deprotonization on the surface, which is necessary to obtain pure
carbon add-layer. But the zero-temperature description shows that the cold
environment is insufficient to promote the argon-assisted surface cleaning.


title: Gemini Spectroscopy of the Short GRB 130603B Afterglow and Host

abstract:
  We present early optical photometry and spectroscopy of the afterglow and
host galaxy of the bright short-duration gamma-ray burst GRB 130603B discovered
by the Swift satellite. Using the Gemini South telescope, our prompt optical
spectra reveal a strong trace from the afterglow superimposed on continuum and
emission lines from the $z = 0.3568 \pm 0.0005$ host galaxy. The combination of
a relatively bright optical afterglow (r' = 21.52 at $\Delta_t $= 8.4hr),
together with an observed offset of 0\farcs9 from the host nucleus (4.8kpc
projected distance at z=0.3568), allow us to extract a relatively clean
spectrum dominated by afterglow light . The spatially resolved spectrum allows
us to constrain the properties of the explosion site directly, and compare
these with the host galaxy nucleus, as well as other short-duration GRB host
galaxies. We find that while the host is a relatively luminous ($L \approx 0.8
L^{*}_{B}$), star-forming galaxy with solar metallicity, the spectrum of the
afterglow exhibits weak CaII absorption features but negligible emission
features. The explosion site therefore lacks evidence of recent star formation,
consistent with the relatively long delay time distribution expected in a
compact binary merger scenario. The star formation rate (both in an absolute
sense and normalized to the luminosity) and metallicity of the host are both
consistent with the known sample of short-duration GRB hosts and with recent
results which suggest GRB130603B emission to be the product of the decay of
radioactive species produced during the merging process of a NS-NS binary
("kilonova").
  Ultimately, the discovery of more events similar to GRB130603B and their
rapid follow-up from 8-m class telescopes will open new opportunities for our
understanding of the final stages of compact-objects binary systems.


title:
Spin models inferred from patient data faithfully describe HIV fitness
  landscapes and enable rational vaccine design

abstract:
  Mutational escape from vaccine induced immune responses has thwarted the
development of a successful vaccine against AIDS, whose causative agent is HIV,
a highly mutable virus. Knowing the virus' fitness as a function of its
proteomic sequence can enable rational design of potent vaccines, as this
information can focus vaccine induced immune responses to target mutational
vulnerabilities of the virus. Spin models have been proposed as a means to
infer intrinsic fitness landscapes of HIV proteins from patient-derived viral
protein sequences. These sequences are the product of non-equilibrium viral
evolution driven by patient-specific immune responses, and are subject to
phylogenetic constraints. How can such sequence data allow inference of
intrinsic fitness landscapes? We combined computer simulations and variational
theory \'{a} la Feynman to show that, in most circumstances, spin models
inferred from patient-derived viral sequences reflect the correct rank order of
the fitness of mutant viral strains. Our findings are relevant for diverse
viruses.


title: Advanced burning stages and fate of 8-10 Mo stars

abstract:
  The stellar mass range 8<M/Mo<12 corresponds to the most massive AGB stars
and the most numerous massive stars. It is host to a variety of supernova
progenitors and is therefore very important for galactic chemical evolution and
stellar population studies. In this paper, we study the transition from
super-AGB star to massive star and find that a propagating neon-oxygen burning
shell is common to both the most massive electron capture supernova (EC-SN)
progenitors and the lowest mass iron-core collapse supernova (FeCCSN)
progenitors. Of the models that ignite neon burning off-center, the 9.5Mo model
would evolve to an FeCCSN after the neon-burning shell propagates to the
center, as in previous studies. The neon-burning shell in the 8.8Mo model,
however, fails to reach the center as the URCA process and an extended (0.6 Mo)
region of low Ye (0.48) in the outer part of the core begin to dominate the
late evolution; the model evolves to an EC-SN. This is the first study to
follow the most massive EC-SN progenitors to collapse, representing an
evolutionary path to EC-SN in addition to that from SAGB stars undergoing
thermal pulses. We also present models of an 8.75Mo super-AGB star through its
entire thermal pulse phase until electron captures on 20Ne begin at its center
and of a 12Mo star up to the iron core collapse. We discuss key uncertainties
and how the different pathways to collapse affect the pre-supernova structure.
Finally, we compare our results to the observed neutron star mass distribution.


title:
Experimental observation of ferrielectricity in multiferroic DyMn2O5:
  revisiting the electric polarization

abstract:
  The electric polarization and its magnetic origins in multiferroic RMn2O5,
where R is rare-earth ion, are still issues under debate. In this work, the
temperature-dependent electric polarization of DyMn2O5, the most attractive
member of this RMn2O5 family, is investigated using the pyroelectric current
method upon varying endpoint temperature of the electric cooling, plus the
positive-up-negative-down (PUND) technique. It is revealed that DyMn2O5 at low
temperature does exhibit the unusual ferrielectricity rather than
ferroelectricity, characterized by two interactive and anti-parallel
ferroelectric sublattices which show different temperature-dependences. The two
ferroelectric sublattices are believed to be generated from the symmetric
exchange-striction mechanisms associated with the Mn-Mn spin interactions and
Dy-Mn spin interactions, respectively. The path-dependent electric polarization
reflects the first-order magnetic transitions in the low temperature regime.
The magnetoelectric effect is mainly attributed to the Dy spin order which is
sensitive to magnetic field. The present experiments may be helpful for
clarifying the puzzling issues on the multiferroicity in DyMn2O5 and probably
other RMn2O5 multiferroics.


title: A note on the Polignac numbers

abstract:
  Suppose that $k\geq 3.5\times 10^6$ and $\hH=\{h_1,\ldots,h_{k_0}\}$ is
admissible. Then for any $m\geq 1$, the set $$ \{m(h_j-h_i):\,h_i<h_j\} $$
contains at least one Polignac number.


title: Spin and mass of the nearest supermassive black hole

abstract:
  Quasi-Periodic Oscillations (QPOs) of the hot plasma spots or clumps orbiting
an accreting black hole contain information on the black hole mass and spin.
The promising observational signatures for the measurement of black hole mass
and spin are the latitudinal oscillation frequency of the bright spots in the
accretion flow and the frequency of black hole event horizon rotation. Both of
these frequencies are independent of the accretion model and defined completely
by the properties of the black hole gravitational field. Interpretation of the
known QPO data by dint of a signal modulation from the hot spots in the
accreting plasma reveals the Kerr metric rotation parameter, $a=0.65\pm0.05$,
and mass, $M=(4.2\pm0.2)10^6M_\odot$, of the supermassive black hole in the
Galactic center. At the same time, the observed 11.5 min QPO period is
identified with a period of the black hole event horizon rotation, and,
respectively, the 19 min period is identified with a latitudinal oscillation
period of hot spots in the accretion flow. The described approach is applicable
to black holes with a low accretion rate, when accreting plasma is transparent
up to the event horizon region.


title: Statistical Mechanics of Phase-Space Curves

abstract:
  We study the classical statistical mechanics of a phase-space curve. This
unveils a mechanism that, via the associated entropic force, provides us with a
simple realization of effects such as confinement, hard core, and asymptotic
freedom. Additionally, we obtain negative specific heats, a distinctive feature
of self-gravitating systems and negative pressures, typical of dark energy.


title:
Minimax Theory for High-dimensional Gaussian Mixtures with Sparse Mean
  Separation

abstract:
  While several papers have investigated computationally and statistically
efficient methods for learning Gaussian mixtures, precise minimax bounds for
their statistical performance as well as fundamental limits in high-dimensional
settings are not well-understood. In this paper, we provide precise information
theoretic bounds on the clustering accuracy and sample complexity of learning a
mixture of two isotropic Gaussians in high dimensions under small mean
separation. If there is a sparse subset of relevant dimensions that determine
the mean separation, then the sample complexity only depends on the number of
relevant dimensions and mean separation, and can be achieved by a simple
computationally efficient procedure. Our results provide the first step of a
theoretical basis for recent methods that combine feature selection and
clustering.


title: A no-go theorem for ergodicity and an Einstein relation

abstract:
  We provide a simple no-go theorem for ergodicity and the generalized Einstein
relation for anomalous diffusion processes. The theorem states that either
ergodicity in the sense of equal time and ensemble averaged mean squared
displacements (MSD) is broken, and/or the generalized Einstein relation for
time averaged diffusivity and mobility is invalid, which is in complete
contrast to normal diffusion processes. We also give a general relation for the
time averages of drift and MSD for \textit{ergodic} (in the MSD sense)
anomalous diffusion processes, showing that the ratio of these quantities
depends on the measurement time. The L\'evy walk model is used to exemplify the
no-go theorem.


title: A Quantum Physical Design Flow Using ILP and Graph Drawing

abstract:
  Implementing large-scale quantum circuits is one of the challenges of quantum
computing. One of the central challenges of accurately modeling the
architecture of these circuits is to schedule a quantum application and
generate the layout while taking into account the cost of communications and
classical resources as well as the maximum exploitable parallelism. In this
paper, we present and evaluate a design flow for arbitrary quantum circuits in
ion trap technology. Our design flow consists of two parts. First, a scheduler
takes a description of a circuit and finds the best order for the execution of
its quantum gates using integer linear programming (ILP) regarding the
classical resources (qubits) and instruction dependencies. Then a layout
generator receives the schedule produced by the scheduler and generates a
layout for this circuit using a graph-drawing algorithm. Our experimental
results show that the proposed flow decreases the average latency of quantum
circuits by about 11% for a set of attempted benchmarks and by about 9% for
another set of benchmarks compared with the best in literature.


title:
Emerging Weak Localization Effects on Topological Insulator-Insulating
  Ferromagnet (Bi_2Se_3-EuS) Interface

abstract:
  Thin films of topological insulator Bi_2Se_3 were deposited directly on
insulating ferromagnetic EuS. Unusual negative magnetoresistance was observed
near the zero field below the Curie temperature (T_C), resembling the weak
localization effect; whereas the usual positive magnetoresistance was recovered
above T_C. Such negative magnetoresistance was only observed for Bi_2Se_3
layers thinner than t~4nm, when its top and bottom surfaces are coupled. These
results provide evidence for a proximity effect between a topological insulator
and an insulating ferromagnet, laying the foundation for future realization of
the half-integer quantized anomalous Hall effect in three-dimensional
topological insulators.


title:
An optimal control approach to malaria prevention via
  insecticide-treated nets

abstract:
  Malaria is a life threatening disease, entirely preventable and treatable,
provided the currently recommended interventions are properly implemented.
These interventions include vector control through the use of
insecticide-treated nets (ITNs). However, ITN possession does not necessarily
translate into use. Human behavior change interventions, including information,
education, communication (IEC) campaigns and post-distribution hang-up
campaigns are strongly recommended. In this paper we consider a recent
mathematical model for the effects of ITNs on the transmission dynamics of
malaria infection, which takes into account the human behavior. We introduce in
this model a supervision control, representing IEC campaigns for improving the
ITN usage. We propose and solve an optimal control problem where the aim is to
minimize the number of infectious humans while keeping the cost low. Numerical
results are provided, which show the effectiveness of the optimal control
interventions.


title:
A Numerical Example about the Geometric Approach to the Output
  Regulation Problem with Stability for Linear Switching Systems

abstract:
  This note presents a numerical example worked out in order to illustrate the
solution to the output regulation problem with quadratic stability for linear
switching systems derived in [1].


title:
Dynamical tides excited in rotating stars of different masses and ages
  and the formation of close in orbits

abstract:
  We study the tidal response of rotating solar mass stars, as well as more
massive rotating stars, of different ages in the context of tidal captures
leading to either giant exoplanets on close in orbits, or the formation of
binary systems in star clusters. To do this, we adopt approaches based on
normal mode and associated overlap integral evaluation, developed in a
companion paper by Ivanov et al., and direct numerical simulation, to evaluate
energy and angular momentum exchanges between the orbit and normal modes. The
two approaches are found to be in essential agreement apart from when
encounters occur near to pseudosynchronization, where the stellar angular
velocity and the orbital angular velocity at periastron are approximately
matched. We find that the strength of tidal interaction being expressed in
dimensionless natural units is significantly weaker for the more massive stars,
as compared to the solar mass stars, because of the lack of significant
convective regions in the former case. On the other hand the interaction is
found to be stronger for retrograde as opposed to prograde orbits in all cases.
In addition, for a given pericentre distance, tidal interactions also
strengthen for more evolved stars on account of their radial expansion. In
agreement with previous work based on simplified polytropic models, we find
that energy transferred to their central stars could play a significant role in
the early stages of the circularisation of potential 'Hot Jupiters'.


title:
Strongly coupled slow-light polaritons in one-dimensional disordered
  localized states

abstract:
  Cavity quantum electrodynamics advances the coherent control of a single
quantum emitter with a quantized radiation field mode, typically piecewise
engineered for the highest finesse and confinement in the cavity field. This
enables the possibility of strong coupling for chip-scale quantum processing,
but till now is limited to few research groups that can achieve the precision
and deterministic requirements for these polariton states. Here we observe for
the first time coherent polariton states of strong coupled single quantum dot
excitons in inherently disordered one-dimensional localized modes in slow-light
photonic crystals. Large vacuum Rabi splittings up to 311 {\mu}eV are observed,
one of the largest avoided crossings in the solid-state. Our tight-binding
models with quantum impurities detail these strong localized polaritons,
spanning different disorder strengths, complementary to model-extracted pure
dephasing and incoherent pumping rates. Such disorder-induced slow-light
polaritons provide a platform towards coherent control, collective
interactions, and quantum information processing.


title:
A Raindrop Algorithm for Searching The Global Optimal Solution in
  Non-linear Programming

abstract:
  In this paper, we apply the random walk model in designing a raindrop
algorithm to find the global optimal solution of a non-linear programming
problem. The raindrop algorithm does not require the information of the first
or second order derivatives of the object function. Hence it is a direct
method. We investigate the properties of raindrop algorithm. Besides, we apply
the raindrop algorithm to solve a non-linear optimization problem, where the
object function is highly irregular (neither convex nor concave). And the
global optimal solution can be found with small number of iterations.


title:
Multimode Phonon Cooling via Three Wave Parametric Interactions with
  Optical Fields

abstract:
  We discuss the possible cooling of different phonon modes via three wave
mixing interactions of vibrational and optical modes. Since phonon modes
exhibit a variety of dispersion relations or frequency spectra with diverse
spatial structures, depending on the shape and size of the sample, we formulate
our theory in terms of relevant spatial mode functions for the interacting
fields in any given geometry. We discuss the possibility of Dicke like
collective effects in phonon cooling and present explicit results for
simultaneous cooling of two phonon modes via the anti-Stokes up conversions. We
show that the bimodal cooling should be observable experimentally.


title:
Constraining the Hadronic Contributions to the Muon Anomalous Magnetic
  Moment

abstract:
  The mini-proceedings of the Workshop on "Constraining the hadronic
contributions to the muon anomalous magnetic moment" which included the "13th
meeting of the Radio MonteCarLow WG" and the "Satellite meeting R-Measurements
at BES-III" held in Trento from April 10th to 12th, 2013, are presented. This
collaboration meeting aims to bring together the experimental e+e- collider
communities from BaBar, Belle, BESIII, CMD2, KLOE, and SND, with theorists
working in the fields of meson transitions form factors, hadronic contributions
to (g-2)_\mu and effective fine structure constant, and development of Monte
Carlo generator and Radiative Corrections for precision e+e- and tau physics.


title: New Series Expansions of the Gauss Hypergeometric Function

abstract:
  The Gauss hypergeometric function ${}_2F_1(a,b,c;z)$ can be computed by using
the power series in powers of $z, z/(z-1), 1-z, 1/z, 1/(1-z),(z-1)/z$. With
these expansions ${}_2F_1(a,b,c;z)$ is not completely computable for all
complex values of $z$. As pointed out in Gil, {\it et al.} [2007, \S2.3], the
points $z=e^{\pm i\pi/3}$ are always excluded from the domains of convergence
of these expansions. B\"uhring [1987] has given a power series expansion that
allows computation at and near these points. But, when $b-a$ is an integer, the
coefficients of that expansion become indeterminate and its computation
requires a nontrivial limiting process. Moreover, the convergence becomes
slower and slower in that case. In this paper we obtain new expansions of the
Gauss hypergeometric function in terms of rational functions of $z$ for which
the points $z=e^{\pm i\pi/3}$ are well inside their domains of convergence . In
addition, these expansion are well defined when $b-a$ is an integer and no
limits are needed in that case. Numerical computations show that these
expansions converge faster than B\"uhring's expansion for $z$ in the
neighborhood of the points $e^{\pm i\pi/3}$, especially when $b-a$ is close to
an integer number.


title: Notes on the fine Selmer groups

abstract:
  In this paper, we study the fine Selmer groups attached to a Galois module
defined over a commutative complete Noetherian ring with finite residue field
of characteristic p. Namely, we are interested in its properties upon taking
residual representation and within field extensions. In particular, we will
show that the variation of the fine Selmer group in a cyclotomic
$\Zp$-extension is intimately related to the variation of the class groups in
the cyclotomic tower. We also discuss some examples of pseudo-nullity of fine
Selmer groups.


title:
On the universality of spectral limit for random matrices with
  martingale differences entries

abstract:
  For a class of symmetric random matrices whose entries are martingale
differences adapted to an increasing filtration, we prove that under a
Lindeberg-like condition, the empirical spectral distribution behaves
asymptotically similarly to a corresponding matrix with independent centered
Gaussian entries having the same variances. Under a slightly reinforced
condition, the approximation holds in the almost sure sense. We also point out
several sufficient regularity conditions imposed to the variance structure for
convergence to the semicircle law or the Marchenko-Pastur law and other
convergence results. In the stationary case we obtain a full extension from the
i.i.d. case to the martingale case of the convergence to the semicircle law as
well as to the Marchenko-Pastur one. Our results are well adapted to study
several examples including non linear ARCH infinite random fields.


title:
High frequency electric field induced nonlinear effects in graphene
  (review)

abstract:
  The nonlinear optical and optoelectronic properties of graphene with the
emphasis on the processes of harmonic generation, frequency mixing, photon drag
and photogalvanic effects as well as generation of photocurrents due to
coherent interference effects, are reviewed. The article presents the
state-of-the-art of this subject, including both recent advances and
well-established results. Various physical mechanisms controlling transport are
described in depth including phenomenological description based on symmetry
arguments, models visualizing physics of nonlinear responses, and microscopic
theory of individual effects.


title: Force and torque on an electric dipole by spinning light fields

abstract:
  We calculate the optical force and torque applied to an electric dipole by a
spinning light field. We find that the dissipative part of the force depends on
the orbital energy flow of the field only, because the latter is related to the
phase gradient generalized for such a light field. As for the remaining spin
energy flow, it gives rise to an optical torque. The resulting change in the
optical force is detailed for different experimentally relevant configurations,
and we show in particular how this change is critical when surface plasmon
modes are involved.


title: A Variational Analysis of a Gauged Nonlinear Schr\"odinger Equation

abstract:
  This paper is motivated by a gauged Schr\"odinger equation in dimension 2
including the so-called Chern-Simons term. The study of radial stationary
states leads to the nonlocal problem: $$ - \Delta u(x) + \left(\omega +
\frac{h^2(|x|)}{|x|^2} + \int_{|x|}^{+\infty} \frac{h(s)}{s} u^2(s)\, ds
\right) u(x) = |u(x)|^{p-1}u(x), $$ where $$ h(r)= \frac{1}{2}\int_0^{r} s
u^2(s) \, ds. $$
  This problem is the Euler-Lagrange equation of a certain energy functional.
In this paper the study of the global behavior of such functional is completed.
We show that for $p\in(1,3)$, the functional may be bounded from below or not,
depending on $\omega $. Quite surprisingly, the threshold value for $\omega $
is explicit. From this study we prove existence and non-existence of positive
solutions.


title: Size effects in the long-time quasi-static heat transport

abstract:
  We consider finite size effects on heat transfer between thermal reservoirs
mediated by a quantum system, where the number of modes in each reservoir is
finite. Our approach is based on the generalized quantum Langevin equation and
the thermal reservoirs are described as ensembles of oscillators within the
Drude-Ullersma model. A general expression for the heat current between the
thermal reservoirs in the long-time quasi-static regime, when an observation
time is of the order of $\Delta ^{-1}$ and $\Delta$ is the mode spacing
constant of a thermal reservoir, is obtained. The resulting equations that
govern the long-time relaxation for the mode temperatures and the average
temperatures of the reservoirs are derived and approximate analytical solutions
are found.


title: Happy Edges: Threshold-Coloring of Regular Lattices

abstract:
  We study a graph coloring problem motivated by a fun Sudoku-style puzzle.
Given a bipartition of the edges of a graph into {\em near} and {\em far} sets
and an integer threshold $t$, a {\em threshold-coloring} of the graph is an
assignment of integers to the vertices so that endpoints of near edges differ
by $t$ or less, while endpoints of far edges differ by more than $t$. We study
threshold-coloring of tilings of the plane by regular polygons, known as
Archimedean lattices, and their duals, the Laves lattices. We prove that some
are threshold-colorable with constant number of colors for any edge labeling,
some require an unbounded number of colors for specific labelings, and some are
not threshold-colorable.


title: Topological and Ergodic properties of symmetric subshifts

abstract:
  The family of symmetric one sided subshifts in two symbols given by a
sequence $a$ is studied. We analyse some of their topological properties such
as transitivity, the specification property and intrinsic ergodicity. It is
shown that almost every member of this family admits only one measure of
maximal entropy.


title:
Interacting Entropy-Corrected Holographic Dark Energy and IR Cut-Off
  Length

abstract:
  In this paper we consider holographic dark energy model with corrected
holographic energy density and show that this model may be equivalent to the
modified Chaplygin gas model. Then we obtain relation between entropy corrected
holographic dark energy model and scalar field models. We do these works by
using choices of IR cut-off length proportional to the Hubble radius, the event
horizon radius, the Ricci length, and the Granda-Oliveros length.


title: Extreme sizes in the Gibbs-type exchangeable random partitions

abstract:
  Gibbs-type exchangeable random partitions, which is a class of multiplicative
measures on the set of positive integer partitions, appear in various contexts,
including Bayesian statistics, random combinatorial structures, and stochastic
models of diversity in various phenomena. Some distributional results on
ordered sizes in the Gibbs partition are established by introducing associated
partial Bell polynomials and analysis of the generating functions. The
combinatorial approach is applied to derive explicit results on asymptotic
behavior of the extreme sizes in the Gibbs partition. Especially, Ewens-Pitman
partition, which is the sample from the Poisson-Dirichlet process and has been
discussed from rather model-specific viewpoints, and a random partition which
was recently introduced by Gnedin, are discussed in the details. As
by-products, some formulas for the associated partial Bell polynomials are
presented.


title: Hamilton Cycles in Random Lifts of Graphs

abstract:
  For a graph $G$ the random $n$-lift of $G$ is obtained by replacing each of
its vertices by a set of $n$ vertices, and joining a pair of sets by a random
matching whenever the corresponding vertices of $G$ are adjacent. We show that
asymptotically almost surely the random lift of a graph $G$ is hamiltonian,
provided $G$ has the minimum degree at least $5$ and contains two disjoint
Hamiltonian cycles whose union is not a bipartite graph.


title:
Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching
  Data

abstract:
  We elaborate on a non-perturbative formulation of scattering amplitudes/null
polygonal Wilson loops in planar N=4 Super-Yang-Mills theory. The construction
is based on a decomposition of the Wilson loop into elementary building blocks
named pentagon transitions. Our discussion expands on a previous letter of the
authors where these transitions were introduced and analyzed for the so-called
gluonic excitations. In this paper we revisit these transitions and extend the
analysis to the sector of scalar excitations. We restrict ourselves to the
single particle transitions and bootstrap their finite coupling expressions
using a set of axioms. Besides these considerations, the main focus of the
paper is on the extraction of perturbative data from scattering amplitudes at
weak coupling and its comparison against the proposed pentagon transitions. We
present several tests for both the hexagon and heptagon (MHV and NMHV)
amplitudes up to two- and three-loop orders. In attached notebooks we provide
explicit higher-loop predictions obtained from our method.


title:
Determinants, their applications to Markov processes, and a random walk
  proof of Kirchhoff's matrix tree theorem

abstract:
  Kirchhoff's matrix tree theorem is a well-known result that gives a formula
for the number of spanning trees in a finite, connected graph in terms of the
graph Laplacian matrix. A closely related result is Wilson's algorithm for
putting the uniform distribution on the set of spanning trees. We will show
that when one follows Greg Lawler's strategy for proving Wilson's algorithm,
Kirchhoff's theorem follows almost immediately after one applies some
elementary linear algebra. We also show that the same ideas can be applied to
other computations related to general Markov chains and processes on a finite
state space.


title: What's in YOUR wallet?

abstract:
  We use Markov chains and numerical linear algebra -- and several CPU hours --
to determine the expected number of coins in a person's possession under
certain conditions. We identify the spending strategy that results in the
minimum possible expected number of coins, and we consider two other strategies
that are more realistic.


title: On Various Types of Shadowing for Geometric Lorenz Flows

abstract:
  We show that Lorenz flows have neither limit shadowing property nor average
shadowing property nor the asymptotic average shadowing property where the
reparametrizations related to these concepts relies on the set of increasing
homeomorphisms with bounded variation.


title: Analyzing Collaborative Forecast and Response Networks

abstract:
  Collaborative forecasting involves exchanging information on how much of an
item will be needed by a buyer and how much can be supplied by a seller or
manufacturer in a supply chain. This exchange allows parties to plan their
operations based on the needs and limitations of their supply chain partner.
The success of this system critically depends on the healthy flow of
information. This paper focuses on methods to easily analyze and visualize this
process. To understand how the information travels on this network and how
parties react to new information from their partners, this paper proposes a
Gaussian Graphical Model based method, and finds certain inefficiencies in the
system. To simplify and better understand the update structure, a Continuum
Canonical Correlation based method is proposed. The analytical tools introduced
in this article are implemented as a part of a forecasting solution software
developed to aid the forecasting practice of a large company.


title:
First-principles calculations of the structural, electronic, optical and
  elastic properties of the CuYS2 semiconductor

abstract:
  Ternary semiconductor CuYS2 is studied by using the first-principles methods
in the density functional theory (DFT) framework. The structural, electronic,
optical and elastic properties were calculated at the ambient and elevated
hydrostatic pressures. The compound was shown to have an indirect band gap of
about 1.342/1.389 eV (in the generalized gradient and local density
approximations). The anisotropy of the optical properties was studied by
calculating the absorption spectra, dielectric function and index of refraction
for different polarizations. The anisotropy of the elastic properties was
visualized by plotting the three-dimensional dependence of the Young's moduli
on the direction in the crystal lattice. The obtained results, which are
reported for the first time to the best of the author's knowledge, can
facilitate assessment of possible applications of the title material.


title:
A note on the elliptic Kirchhoff equation in R^N perturbed by a local
  nonlinearity

abstract:
  In this note we complete the study made in a previous paper on a Kirchhoff
type equation with a Berestycki-Lions nonlinearity. We also correct Theorem 0.6
inside.


title:
Emergence of the advancing neuromechanical phase in a resistive force
  dominated medium

abstract:
  Undulatory locomotion, a gait in which thrust is produced in the opposite
direction of a traveling wave of body bending, is a common mode of propulsion
used by animals in fluids, on land, and even within sand. As such it has been
an excellent system for discovery of neuromechanical principles of movement. In
nearly all animals studied, the wave of muscle activation progresses faster
than the wave of body bending, leading to an advancing phase of activation
relative to the curvature towards the tail. This is referred to as
"neuromechanical phase lags" (NPL). Several multi-parameter neuromechanical
models have reproduced this phenomenon, but due to model complexity the origin
of the NPL has proved difficult to identify. Here we use perhaps the simplest
model of undulatory swimming to accurately predict the NPL during sand-swimming
by the sandfish lizard, with no fitting parameters. The sinusoidal wave used in
sandfish locomotion, the friction-dominated and non-inertial granular resistive
force environment, and the simplicity of the model allow detailed analysis, and
reveal the fundamental mechanism responsible for the phenomenon: the
combination of synchronized torques from distant points on the body and local
traveling torques. This general mechanism should help explain the NPL in
organisms in other environments; we therefore propose that sand-swimming could
be an excellent system to quantitatively generate and test other
neuromechanical models of movement. Such a system can also provide guidance for
the design and control of robotic undulatory locomotors in complex
environments.


title:
New Signals for Doubly-Charged Scalars and Fermions at the Large Hadron
  Collider

abstract:
  Several extensions of the Standard Model have light doubly-charged Higgs
bosons in their particle spectrum. The supersymmetric versions of these models
introduce fermionic superpartners of these doubly-charged Higgs bosons, the
Higgsinos, which also remain light. In this work we analyze a new collider
signal resulting from the pair production and decay of a light doubly-charged
Higgsino to an even lighter doubly-charged Higgs boson. We focus on the minimal
left-right supersymmetric model with automatic R-parity conservation, which
predicts such a light doubly-charged Higgs boson and its Higgsino partner at
the TeV scale, which are singlets of SU(2)_L. We investigate the distinctive
signatures of these particles with four leptons and missing transverse energy
in the final state at the Large Hadron Collider and show that the discovery
reach for both particles can be increased in this channel.


title: Non-Newtonian Rheology in Blood Circulation

abstract:
  Blood is a complex suspension that demonstrates several non-Newtonian
rheological characteristics such as deformation-rate dependency,
viscoelasticity and yield stress. In this paper we outline some issues related
to the non-Newtonian effects in blood circulation system and present modeling
approaches based mostly on the past work in this field.


title:
A modal logic amalgam of classical and intuitionistic propositional
  logic

abstract:
  A famous result, conjectured by G\"odel in 1932 and proved by McKinsey and
Tarski in 1948, says that $\varphi$ is a theorem of intuitionistic
propositional logic IPC iff its G\"odel-translation $\varphi'$ is a theorem of
modal logic S4. In this paper, we extend an intuitionistic version of modal
logic S1+SP, introduced in our previous paper (S. Lewitzka, Algebraic semantics
for a modal logic close to S1, J. Logic and Comp., doi:10.1093/logcom/exu067)
to a classical modal logic L and prove the following: a propositional formula
$\varphi$ is a theorem of IPC iff $\square\varphi$ is a theorem of L (actually,
we show: $\Phi\vdash_{IPC}\varphi$ iff $\square\Phi\vdash_L\square\varphi$, for
propositional $\Phi,\varphi$). Thus, the map $\varphi\mapsto\square\varphi$ is
an embedding of IPC into L, i.e. L contains a copy of IPC. Moreover, L is a
conservative extension of classical propositional logic CPC. In this sense, L
is an amalgam of CPC and IPC. We show that L is sound and complete w.r.t. a
class of special Heyting algebras with a (non-normal) modal operator.


title: Confluence of an extension of Combinatory Logic by Boolean constants

abstract:
  We show confluence of a conditional term rewriting system CL-pc${}^1$, which
is an extension of Combinatory Logic by Boolean constants. This solves problem
15 from the RTA list of open problems. The proof has been fully formalised in
the Coq proof assistant.


title: On torsion in the cohomology of locally symmetric varieties

abstract:
  The main result of this paper is the existence of Galois representations
associated with the mod $p$ (or mod $p^m$) cohomology of the locally symmetric
spaces for $\GL_n$ over a totally real or CM field, proving conjectures of Ash
and others. Following an old suggestion of Clozel, recently realized by
Harris-Lan-Taylor-Thorne for characteristic 0 cohomology classes, one realizes
the cohomology of the locally symmetric spaces for $\GL_n$ as a boundary
contribution of the cohomology of symplectic or unitary Shimura varieties, so
that the key problem is to understand torsion in the cohomology of Shimura
varieties.
  Thus, we prove new results on the $p$-adic geometry of Shimura varieties (of
Hodge type). Namely, the Shimura varieties become perfectoid when passing to
the inverse limit over all levels at $p$, and a new period map towards the flag
variety exists on them, called the Hodge-Tate period map. It is roughly
analogous to the embedding of the hermitian symmetric domain (which is roughly
the inverse limit over all levels of the complex points of the Shimura variety)
into its compact dual. The Hodge-Tate period map has several favorable
properties, the most important being that it commutes with the Hecke operators
away from $p$ (for the trivial action of these Hecke operators on the flag
variety), and that automorphic vector bundles come via pullback from the flag
variety.


title:
Anisometric Charge Dependent Swelling of Porous Carbon in an Ionic
  Liquid

abstract:
  In situ electrochemical dilatometry was used to study, for the first time,
the expansion behavior of a porous carbon electrode in a pure ionic liquid,
1-ethyl-3-methyl-imidazolium-tetrafluoroborate. For a single electrode, an
applied potential of -2 V and +2 V against the potential of zero charge
resulted in maximum strain of 1.8 % and 0.5 %, respectively. During cyclic
voltammetry, the characteristic expansion behavior strongly depends on the scan
rate, with increased scan rates leading to a decrease of the expansion.
Chronoamperometry was used to determine the equilibrium specific capacitance
and expansion. The obtained strain versus accumulated charge relationship can
be fitted with a simple quadratic function. Cathodic and anodic expansion data
collapses on one parabola when normalizing the surface charge by the ratio of
ion volume and average pore size. There is also a transient spike in the height
change when polarity is switched from positive to negative that is not observed
when changing the potential from negative to positive indicating the size and
the shape of the ion is influencing the expansion behavior.


title: Mayer-Vietoris sequences in stable derivators

abstract:
  We show that stable derivators, like stable model categories, admit
Mayer-Vietoris sequences arising from cocartesian squares. Along the way we
characterize homotopy exact squares, and give a detection result for colimiting
diagrams in derivators. As an application, we show that a derivator is stable
if and only if its suspension functor is an equivalence.


title: A theoretical framework for trading experiments

abstract:
  A general framework is suggested to describe human decision making in a
certain class of experiments performed in a trading laboratory. We are in
particular interested in discerning between two different moods, or states of
the investors, corresponding to investors using fundamental investment
strategies, technical analysis investment strategies respectively. Our
framework accounts for two opposite situations already encountered in
experimental setups: i) the rational expectations case, and ii) the case of
pure speculation. We consider new experimental conditions which allow both
elements to be present in the decision making process of the traders, thereby
creating a dilemma in terms of investment strategy. Our theoretical framework
allows us to predict the outcome of this type of trading experiments, depending
on such variables as the number of people trading, the liquidity of the market,
the amount of information used in technical analysis strategies, as well as the
dividends attributed to an asset. We find that it is possible to give a
qualitative prediction of trading behavior depending on a ratio that quantifies
the fluctuations in the model.


title: Entanglement of spins under a strong laser influence

abstract:
  The fate of entanglement of spins for two heavy constituents of a bound state
moving in a strong laser field is analyzed within the semiclassical approach.
The bound state motion as a whole is considered classically beyond the dipole
approximation and taking into account the magnetic field effect by using the
exact solution to the Newton equation. At the same time the evolution of
constituent spins under the laser influence is studied quantum mechanically.
The spin density matrix is determined as solution to the von Neumann equation
with the effective Hamiltonian, describing spin-laser interaction along the
bound state classical trajectory. Based on the solution, the dynamics of
concurrence of spins is calculated for the maximally entangled Werner states as
well as for an initially uncorrelated state.


title: Derived equivalences of smooth stacks and orbifold Hodge numbers

abstract:
  Given a derived equivalence of orbifolds associated to projective varieties
with (not necessarily Gorenstein) quotient singularities, we deduce
consequences related to the behavior of orbifold Hodge numbers and the Picard
variety, extending what is known in the smooth case.


title: Semiclassical energy conditions for quantum vacuum states

abstract:
  We present and develop several nonlinear energy conditions suitable for use
in the semiclassical regime. In particular, we consider the recently formulated
"flux energy condition" (FEC), and the novel "trace-of-square" (TOSEC) and
"determinant" (DETEC) energy conditions. As we shall show, these nonlinear
energy conditions behave much better than the classical linear energy
conditions in the presence of semiclassical quantum effects. Moreover, whereas
the quantum extensions of these nonlinear energy conditions seem to be quite
widely satisfied as one enters the quantum realm, analogous quantum extensions
are generally not useful for the linear classical energy conditions.


title: Hamiltonian fixed points, symplectic spinors and Frobenius structures

abstract:
  This article announces a series of articles aiming at introducing the concept
of symplectic spinors into symplectic topology resp. the concept of Frobenius
structures. We will give lower bounds for the number of fixed points of a
Hamiltonian diffeomorphism on the cotangent bundle over a compact manifold $M$
by defining a certain $C^*$-valued function on $T^*\tilde M$, where $\tilde M$
is a certain 'complexification' of $M$, whose critical points are closely
related to the fixed points of the Hamiltonian diffeomorphism $\Phi$ in
question. This function, defined via embedding $\tilde M$ into $\mathbb{R}^m$
for an appopriate $m$ and the use of symplectic spinors, is essentially
determined by associating to each point of $T^*\tilde M$ the value of a certain
spinor-matrix coefficient of specific elements of the Heisenberg group which
are determined by $\Phi$. We will discuss an approach for the case of the torus
$M$ which does not require embeddings. Here, the matrix coefficients in
question coincide with a certain theta function associated to the Hamiltonian
diffeomorphism. We will discuss how to define spectral invariants in the sense
of Viterbo and Oh by lifting the above function to a real-valued function on an
appropriate cyclic covering of $T^*\tilde M$ and using minimax-methods for
'half-infinite' chains. Furthermore we will define a 'Frobenius structure' on
$T^*\tilde M$ by letting elements of $T(T^*\tilde M)$ act on the fibres of a
line bundle $E$ on $T^*\tilde M$ spanned by 'coherent states' closely related
to the above spinor-matrix coefficient. The spectral Lagrangian in
$T^*(T^*\tilde M)$ associated to this Frobenius structure intersects the
zero-section $T^*\tilde M$ exactly at the critical points of the function
described beforehand.


title:
Magnetization and collective excitations of a magnetic dipole fermion
  gas

abstract:
  The ground states and collective excitations of trapped Fermion gases
consisting of atoms with magnetic dipole moment are studied using a
time-dependent density-matrix approach. The advantages of the density-matrix
approach are that one-body and two-body observables are directly calculated
using one-body and two-body density matrices and that it has a clear relation
to the Hartree-Fock (HF) and time-dependent HF theory. The HF calculations show
the magnetization of the gases when the dipole-dipole interaction is strong. It
is shown that the tensor properties of the dipole-dipole interaction are
revealed in the excitation modes associated with spin degrees of freedom.


title:
Metro-Line Crossing Minimization: Hardness, Approximations, and
  Tractable Cases

abstract:
  Crossing minimization is one of the central problems in graph drawing.
Recently, there has been an increased interest in the problem of minimizing
crossings between paths in drawings of graphs. This is the metro-line crossing
minimization problem (MLCM): Given an embedded graph and a set L of simple
paths, called lines, order the lines on each edge so that the total number of
crossings is minimized. So far, the complexity of MLCM has been an open
problem. In contrast, the problem variant in which line ends must be placed in
outermost position on their edges (MLCM-P) is known to be NP-hard. Our main
results answer two open questions: (i) We show that MLCM is NP-hard. (ii) We
give an $O(\sqrt{\log |L|})$-approximation algorithm for MLCM-P.


title:
Novel charged charmoniumlike structures in the hidden-charm dipion
  decays of Y(4360)

abstract:
  Studying the hidden-charm dipion decays of the charmoniumlike state Y(4360),
we show that there exist charged charmoniumlike structures near $D\bar{D}^*$
and $D^*\bar{D}^*$ thresholds in the $J/\psi\pi^+$, $\psi(2S)\pi^+$ and
$h_c(1P)\pi^+$ invariant mass spectra of the corresponding hidden-charm dipion
decays of Y(4360) using the {\it{Initial Single Pion Emission} mechanism}. We
suggest to do further experimental study on these predicted charged enhancement
structures, especially by BESIII, Belle, and the forthcoming BelleII.


title: 3D model retrieval using global and local radial distances

abstract:
  3D model retrieval techniques can be classified as histogram-based,
view-based and graph-based approaches. We propose a hybrid shape descriptor
which combines the global and local radial distance features by utilizing the
histogram-based and view-based approaches respectively. We define an
area-weighted global radial distance with respect to the center of the bounding
sphere of the model and encode its distribution into a 2D histogram as the
global radial distance shape descriptor. We then uniformly divide the bounding
cube of a 3D model into a set of small cubes and define their centers as local
centers. Then, we compute the local radial distance of a point based on the
nearest local center. By sparsely sampling a set of views and encoding the
local radial distance feature on the rendered views by color coding, we extract
the local radial distance shape descriptor. Based on these two shape
descriptors, we develop a hybrid radial distance shape descriptor for 3D model
retrieval. Experiment results show that our hybrid shape descriptor outperforms
several typical histogram-based and view-based approaches.


title: Holographic Superconductors in f(R) Gravity

abstract:
  We study the holographic superconductors in f(R) gravity, and show how the
critical temperature and the condensate of the dual operator depend on the
modifications to Einstein gravity. We first review the black holes with
constant curvature, which are clear in f(R) gravity. The dependencies are
represented with the modified Newtonian constant and the effective cosmological
constant trivially. Then we consider a planar black hole solution for a
specific f(R) without imposing the constant curvature, which is asymptotic to
AdS spacetime. The corrections to the thermal dynamics of the black holes, the
critical temperature and the condensates are all obtained in a perturbative
approach. Some comments are given on the affections of the f(R) gravity to the
holographic superconductors.


title: Privacy and Mechanism Design

abstract:
  This paper is a survey of recent work at the intersection of mechanism design
and privacy. The connection is a natural one, but its study has been
jump-started in recent years by the advent of differential privacy, which
provides a rigorous, quantitative way of reasoning about the costs that an
agent might experience because of the loss of his privacy. Here, we survey
several facets of this study, and differential privacy plays a role in more
than one way. Of course, it provides us a basis for modeling agent costs for
privacy, which is essential if we are to attempt mechanism design in a setting
in which agents have preferences for privacy. It also provides a toolkit for
controlling those costs. However, perhaps more surprisingly, it provides a
powerful toolkit for controlling the stability of mechanisms in general, which
yields a set of tools for designing novel mechanisms even in economic settings
completely unrelated to privacy.


title: Logistic Tensor Factorization for Multi-Relational Data

abstract:
  Tensor factorizations have become increasingly popular approaches for various
learning tasks on structured data. In this work, we extend the RESCAL tensor
factorization, which has shown state-of-the-art results for multi-relational
learning, to account for the binary nature of adjacency tensors. We study the
improvements that can be gained via this approach on various benchmark datasets
and show that the logistic extension can improve the prediction results
significantly.


title: Spin-Gauge Theory of Gravity with Higgs-field Mechanism

abstract:
  We propose a Lorentz-covariant Yang-Mills spin-gauge theory, where the
function valued Dirac matrices play the role of a non-scalar Higgs-field. As
symmetry group we choose $SU(2) \times U(1)$. After symmetry breaking a
non-scalar Lorentz-covariant Higgs-field gravity appears, which can be
interpreted within a classical limit as Einstein's metrical theory of gravity,
where we restrict ourselves in a first step to its linearized version.


title: Byzantine Fault Tolerant Distributed Quickest Change Detection

abstract:
  We introduce and solve the problem of Byzantine fault tolerant distributed
quickest change detection in both continuous and discrete time setups. In this
problem, multiple sensors sequentially observe random signals from the
environment and send their observations to a control center that will determine
whether there is a change in the statistical behavior of the observations. We
assume that the signals are independent and identically distributed across
sensors. An unknown subset of sensors are compromised and will send arbitrarily
modified and even artificially generated signals to the control center. It is
shown that the performance of the the so-called CUSUM statistic, which is
optimal when all sensors are honest, will be significantly degraded in the
presence of even a single dishonest sensor. In particular, instead of in a
logarithmically the detection delay grows linearly with the average run length
(ARL) to false alarm. To mitigate such a performance degradation, we propose a
fully distributed low complexity detection scheme. We show that the proposed
scheme can recover the log scaling. We also propose a centralized group-wise
scheme that can further reduce the detection delay.


title:
Discordance of the unified scheme with observed properties of quasars
  and high-excitation galaxies in the 3CRR sample

abstract:
  We examine the consistency of the unified scheme of FR II-type radio galaxies
and quasars with their observed number and size distributions in the 3CRR
sample. We separate the low-excitation galaxies from the high-excitation ones,
as the former might not harbor a quasar within and thus may not be partaking in
the unified scheme models. In the updated 3CRR sample, at low redshifts
(z<0.5), the relative number and luminosity distributions of high-excitation
galaxies and quasars do roughly match the expectations from the
orientation-based unified scheme model. However, a foreshortening in the
observed sizes of quasars, a must in the orientation-based model, is not seen
with respect to radio galaxies even when the low-excitation galaxies are
excluded. This dashes the hope that the unified scheme might still work if one
includes only the high-excitation galaxies.