title: Growth rates for persistently excited linear systems

abstract:
  We consider a family of linear control systems $\dot{x}=Ax+\alpha Bu$ where
$\alpha$ belongs to a given class of persistently exciting signals. We seek
maximal $\alpha$-uniform stabilisation and destabilisation by means of linear
feedbacks $u=Kx$. We extend previous results obtained for bidimensional
single-input linear control systems to the general case as follows: if the pair
$(A,B)$ verifies a certain Lie bracket generating condition, then the maximal
rate of convergence of $(A,B)$ is equal to the maximal rate of divergence of
$(-A,-B)$. We also provide more precise results in the general single-input
case, where the above result is obtained under the sole assumption of
controllability of the pair $(A,B)$.


title:
Some points on Vervaat's transform of Brownian bridges and Brownian
  motion

abstract:
  In a recent work J. Pitman and W. Tang defined the Vervaat's transform for a
Brownian bridge with two different endpoints and for a Brownian motion between
times $0$ and $1$. They proved some path decomposition properties for these
Vervaat's transforms and raised open questions on their semi-martingale
decomposition. In this paper we give an alternative proof for the path
decomposition and answer the open questions.


title:
Comparative analysis of direct and "step-by-step" Foldy-Wouthuysen
  transformation methods

abstract:
  Relativistic methods for the Foldy-Wouthuysen transformation of the
``step-by-step'' type already at the first step give an expression for the
Hamilton operator not coinciding with the exact result determined by the
Eriksen method. The methods agree for the zeroth and first orders in the Planck
constant terms but do not agree for the second and higher-order terms. We
analyze the benefits and drawbacks of various methods and establish their
applicability boundaries.


title: A generalization of the Kantor-Koecher-Tits construction

abstract:
  The Kantor-Koecher-Tits construction associates a Lie algebra to any Jordan
algebra. We generalize this construction to include also extensions of the
associated Lie algebra. In particular, the conformal realization of so(p+1,q+1)
generalizes to so(p+n,q+n), for arbitrary n, with a linearly realized
subalgebra so(p,q). We also show that the construction applied to 3x3 matrices
over the division algebras R, C, H, O gives rise to the exceptional Lie
algebras f4, e6, e7, e8, as well as to their affine, hyperbolic and further
extensions.


title:
The relaxed linear micromorphic continuum: existence, uniqueness and
  continuous dependence in dynamics

abstract:
  We study well-posedness for the relaxed linear elastic micromorphic continuum
model with symmetric Cauchy force-stresses and curvature contribution depending
only on the micro-dislocation tensor. In contrast to classical micromorphic
models our free energy is not uniformly pointwise positive definite in the
control of the independent constitutive variables. Another interesting feature
concerns the prescription of boundary values for the micro-distortion field:
only tangential traces may be determined which are weaker than the usual strong
anchoring boundary condition. There, decisive use is made of new coercive
inequalities recently proved by Neff, Pauly and Witsch and by Bauer, Neff,
Pauly and Starke. The new relaxed micromorphic formulation can be related to
dislocation dynamics, gradient plasticity and seismic processes of earthquakes.


title: A Characterization of Ideal Weighted Secret Sharing Schemes

abstract:
  Beimel, Tassa and Weinreb (2008) and Farras and Padro (2010) partially
characterized access structures of ideal weighted threshold secret sharing
schemes in terms of the operation of composition. They classified
indecomposable ideal weighted threshold access structures, and proved that any
other ideal weighted threshold access structure is a composition of
indecomposable ones. It remained unclear which compositions of indecomposable
weighted threshold access structures are weighted. In this paper we fill the
gap. Using game-theoretic techniques we determine which compositions of
indecomposable ideal access structures are weighted, and obtain an if and only
if characterization of ideal weighted threshold secret sharing schemes.


title:
Gain tuning for continuous-variable quantum teleportation of
  discrete-variable states

abstract:
  We present a general formalism to describe continuous-variable (CV) quantum
teleportation of discrete-variable (DV) states with gain tuning, taking into
account experimental imperfections. Here the teleportation output is given by
independently transforming each density matrix element of the initial state.
This formalism allows us to accurately model various teleportation experiments
and to analyze the gain dependence of their respective figures of merit. We
apply our formalism to the recent experiment of CV teleportation of qubits [S.
Takeda et al., Nature 500, 315 (2013)] and investigate the optimal gain for the
transfer fidelity. We also propose and model an experiment for CV teleportation
of DV entanglement. It is shown that, provided the experimental losses are
within a certain range, DV entanglement can be teleported for any non-zero
squeezing by optimally tuning the gain.


title: A criterion on trivial homotopy

abstract:
  In "Homotopy decomposition of classifying spaces via elementary Abelian
subgroups", Stephan Jackowski and James McClure show, for functors admitting a
Mackey complement over categories holding a direct product, a general result on
vanishing cohomology. We develop a framework leading to a general result on
trivial homotopy which partially generalizes Jackowski and McClure's result in
two different directions.


title: Superconductivity at 6 K and the violation of Pauli limit in Ta2PdxS5

abstract:
  Ta2PdxS5 (x < 1.0) was found to show superconductivity at Tc ~ 6 K. The
temperature dependent resistivity of single crystalline Ta2Pd0.92S5 showed that
the system is strongly disordered due to Pd deficiencies and close to Anderson
localized state. Superconductivity in the dirty limit as well as the
temperature dependence of specific heat C(T) implies that superconductivity is
s-wave. The upper critical field Hc2 at T = 0 K limit with the magnetic field
parallel to the TaS6 chains was found to be as high as 31 T, exceeding the
Pauli paramagnetic limit Hp = 10.2 T by a factor of 3. We argue that the
absence of the paramagnetic pair-breaking originates from strong spin-orbit
scattering due to Pd deficiencies embedded in the periodic lattice of heavy 5d
Ta and 4d Pd.


title: Baryogenesis within the two-Higgs-doublet model in the Electroweak scale

abstract:
  The conventional baryogenesis mechanism is based on the one Higgs doublet
within the standard model, at the electroweak scale $T\sim 100 GeV$. In this
model the strong first order phase transition due to the spontaneous symmetry
breaking imposes the folowing condition on the mass of the Higgs field:
$m_H\lesssim 40 GeV$, which is contrary to the recently observed value
$m_H\simeq 126 GeV$. In this paper we propose a baryogenesis mechanism within a
two-Higgs-doublet model in which the phase transition occurs in one stage. This
model is consistent with the observed mass of the Higgs. We obtain the true
vacuum bubble wall velocity and thickness in this model. Then, we use nonlocal
baryogenesis mechanism in which the interaction of fermions with the boundary
of the expanding bubbles leads to CP violation and sphaleron mediated
baryogenesis.


title:
Heavy Scalar, Vector and Axial-Vector Mesons in Hot and Dense Nuclear
  Medium

abstract:
  In this work we shall investigate the mass modifications of scalar mesons
$\left( D_{0}, B_{0}\right)$,vector mesons $\left( D^{\ast}, B^{\ast}\right)$
and axial-vector mesons $\left(D_{1}, B_{1}\right)$ at finite density and
temperature of the nuclear medium. The above mesons are modified in the nuclear
medium through themodification of quark and gluon condensates. We shall find
the medium modification of quark and gluon condensates within chiral SU(3)
model through the medium modification of scalar-isoscalar fields $\sigma$ and
$\zeta$ at finite density and temperature. These medium modified quark and
gluon condensates will further be used through QCD sum rules for the evaluation
of in-medium properties of above mentioned scalar, vector and axial vector
mesons. We shall also discuss the effects of density and temperature of the
nuclear medium on the scattering lengths of above scalar, vector and
axial-vector mesons. The study of the medium modifications of above mesons may
be helpful for understanding their production rates in heavy-ion collision
experiments. The results of present investigations of medium modifications of
scalar, vector and axial-vector mesons at finite density and temperature can be
verified in the Compressed Baryonic Matter (CBM) experiment of FAIR facility at
GSI, Germany.


title: Bounded quotients of the fundamental group of a random 2-complex

abstract:
  Let D denote the (n-1)-dimensional simplex. Let Y be a random 2-dimensional
subcomplex of D obtained by starting with the full 1-skeleton of D and then
adding each 2-simplex independently with probability p. For a fixed c>0 it is
shown that if p=\frac{(6+7c) \log n}{n} then a.a.s. the fundamental group
\pi(Y) does not have a nontrivial quotient of order at most n^c.


title:
Rotation of the Trajectories of Bright soliton and Realignment of
  Intensity Distribution in the Coupled Nonlinear Schrodinger Equation

abstract:
  We revisit the collisional dynamics of bright solitons in the coupled
Nonlinear Schrodinger equation. We observe that apart from the intensity
redistribution in the interaction of bright solitons, one also witnesses a
rotation of the trajectories of bright solitons . The angle of rotation can be
varied by suitably manipulating the Self-Phase Modulation (SPM) or Cross Phase
Modulation (XPM) parameters.The rotation of the trajectories of the bright
solitons arises due to the excess energy that is injected into the dynamical
system through SPM or XPM. This extra energy not only contributes to the
rotation of the trajectories, but also to the realignment of intensity
distribution between the two modes. We also notice that the angular separation
between the bright solitons can also manouvred suitably. The above results
which exclude quantum superposition for the field vectors may have wider
ramifications in nonlinear optics, Bose-Einstein condensates, Left Handed (LH)
and Right Handed (RH) meta materials.


title: The Riemannian Penrose Inequality with Charge for Multiple Black Holes

abstract:
  We present a proof of the Riemannian Penrose inequality with charge $r\leq m
+ \sqrt{m^2-q^2}$, where $A=4\pi r^2$ is the area of the outermost apparent
horizon with possibly multiple connected components, $m$ is the total ADM mass,
and $q$ the total charge of a strongly asymptotically flat initial data set for
the Einstein-Maxwell equations, satisfying the charged dominant energy
condition, with no charged matter outside the horizon.


title: Joint Phase Noise Estimation and Data Detection in Coded MIMO Systems

abstract:
  In this paper, the problem of joint oscillator phase noise (PHN) estimation
and data detection for multi-input multi-output (MIMO) systems using
bit-interleaved coded modulation (BICM) is analyzed. A new MIMO receiver that
iterates between the estimator and the detector, based on the
expectation-maximization (EM) framework, is proposed. It is shown that at high
signal-to-noise ratios, a maximum a posteriori estimator (MAP) can be used to
carry out the maximization step of the EM algorithm. Moreover, to reduce the
computational complexity of the proposed EM algorithm, a soft decision-directed
extended Kalman filter-smoother (EKFS) is applied instead of the MAP estimator
to track the PHN parameters. Numerical results show that by combining the
proposed EKFS based approach with an iterative detector that employs low
density parity check (LDPC) codes, PHN can be accurately tracked. Simulations
also demonstrate that compared to existing algorithms, the proposed iterative
receiver can significantly enhance the performance of MIMO systems in the
presence of PHN.


title: The joints problem for matroids

abstract:
  We prove that in a simple matroid, the maximal number of joints that can be
formed by L lines is o(L^2) and Omega(L^{2 - epsilon}) for any epsilon > 0.


title:
Conformal covariant description of mesons and baryons in composite
  superconformal string model

abstract:
  Operator nucleon vertices are constructed in composite superconformal string
model. Splitting of baryon Regge trajectories with the same quantum numbers but
with opposite parity is provided by inclusion of simple additional components
to superconformal generators.


title: Exact Network Reconstruction from Consensus Signals and One Eigenvalue

abstract:
  The basic inverse problem in spectral graph theory consists in determining
the graph given its eigenvalue spectrum. In this paper, we are interested in a
network of technological agents whose graph is unknown, communicating by means
of a consensus protocol. Recently, the use of artificial noise added to
consensus signals has been proposed to reconstruct the unknown graph, although
errors are possible. On the other hand, some methodologies have been devised to
estimate the eigenvalue spectrum, but noise could interfere with the
elaborations. We combine these two techniques in order to simplify calculations
and avoid topological reconstruction errors, using only one eigenvalue.
Moreover, we use an high frequency noise to reconstruct the network, thus it is
easy to filter the control signals after the graph identification. Numerical
simulations of several topologies show an exact and robust reconstruction of
the graphs.


title: Unified Jarzynski and Sagawa-Ueda relations for Maxwell's demon

abstract:
  By using Newtonian mechanics, we construct a general model of Maxwell's
demon, a system in which the engine and the memory interact only through the
exchange of information. We show that the Jarzynski relation and the two
Sagawa-Ueda relations hold simultaneously, and argue that they are the unique
triplet which has a natural decomposition property. The uniqueness provides a
strong support to the assertion that the mutual information is the key
quantity.


title: Local Unitary Equivalent Classes of Symmetric N-Qubit Mixed States

abstract:
  Majorana Representation (MR) of symmetric $ N $-qubit pure states has been
used successfully in entanglement classification. Generalization of this has
been a long standing open problem due to the difficulties faced in the
construction of a Majorana like geometric representation for symmetric mixed
state. We have overcome this problem by developing a method of classifying
local unitary (LU) equivalent classes of symmetric $N$-qubit mixed states based
on the geometrical Multiaxial Representation (MAR) of the density matrix. In
addition to the two parameters defined for the entanglement classification of
the symmetric pure states based on MR, namely, diversity degree and degeneracy
configuration, we show that another parameter called rank needs to be
introduced for symmetric mixed state classification. Our scheme of
classification is more general as it can be applied to both pure and mixed
states. To bring out the similarities/ differences between the MR and MAR, $ N
$-qubit GHZ state is taken up for a detailed study. We conclude that pure state
classification based on MR is not a special case of our classification scheme
based on MAR. We also give a recipe to identify the most general symmetric
$N$-qubit pure separable states. The power of our method is demonstrated using
several well known examples of symmetric two qubit pure and mixed states as
well as three qubit pure states. Classification of uniaxial, Biaxial and
triaxial symmetric two qubit mixed states which can be produced in the
laboratory is studied in detail.


title: Game Theory with Translucent Players

abstract:
  A traditional assumption in game theory is that players are opaque to one
another---if a player changes strategies, then this change in strategies does
not affect the choice of other players' strategies. In many situations this is
an unrealistic assumption. We develop a framework for reasoning about games
where the players may be translucent to one another; in particular, a player
may believe that if she were to change strategies, then the other player would
also change strategies. Translucent players may achieve significantly more
efficient outcomes than opaque ones.
  Our main result is a characterization of strategies consistent with
appropriate analogues of common belief of rationality. Common Counterfactual
Belief of Rationality (CCBR) holds if (1) everyone is rational, (2) everyone
counterfactually believes that everyone else is rational (i.e., all players i
believe that everyone else would still be rational even if $i$ were to switch
strategies), (3) everyone counterfactually believes that everyone else is
rational, and counterfactually believes that everyone else is rational, and so
on. CCBR characterizes the set of strategies surviving iterated removal of
minimax dominated strategies, where a strategy s for player i is minimax
dominated by s' if the worst-case payoff for i using s' is better than the best
possible payoff using s.


title: Adaptive Independent Sticky MCMC algorithms

abstract:
  In this work, we introduce a novel class of adaptive Monte Carlo methods,
called adaptive independent sticky MCMC algorithms, for efficient sampling from
a generic target probability density function (pdf). The new class of
algorithms employs adaptive non-parametric proposal densities which become
closer and closer to the target as the number of iterations increases. The
proposal pdf is built using interpolation procedures based on a set of support
points which is constructed iteratively based on previously drawn samples. The
algorithm's efficiency is ensured by a test that controls the evolution of the
set of support points. This extra stage controls the computational cost and the
convergence of the proposal density to the target. Each part of the novel
family of algorithms is discussed and several examples are provided. Although
the novel algorithms are presented for univariate target densities, we show
that they can be easily extended to the multivariate context within a
Gibbs-type sampler. The ergodicity is ensured and discussed. Exhaustive
numerical examples illustrate the efficiency of sticky schemes, both as a
stand-alone methods to sample from complicated one-dimensional pdfs and within
Gibbs in order to draw from multi-dimensional target distributions.


title: Decision Theory with Resource-Bounded Agents

abstract:
  There have been two major lines of research aimed at capturing
resource-bounded players in game theory. The first, initiated by Rubinstein,
charges an agent for doing costly computation; the second, initiated by Neyman,
does not charge for computation, but limits the computation that agents can do,
typically by modeling agents as finite automata. We review recent work on
applying both approaches in the context of decision theory. For the first
approach, we take the objects of choice in a decision problem to be Turing
machines, and charge players for the ``complexity'' of the Turing machine
chosen (e.g., its running time). This approach can be used to explain
well-known phenomena like first-impression-matters biases (i.e., people tend to
put more weight on evidence they hear early on) and belief polarization (two
people with different prior beliefs, hearing the same evidence, can end up with
diametrically opposed conclusions) as the outcomes of quite rational decisions.
For the second approach, we model people as finite automata, and provide a
simple algorithm that, on a problem that captures a number of settings of
interest, provably performs optimally as the number of states in the automaton
increases.


title:
Phase transition and fast agreement in Naming Game with preference for
  multi-word agents

abstract:
  We examine a variant of the Naming Game, where agents having several words
communicate more often than single-word agents. Depending on the preference and
dimensionality, the model either converges to a single-language state as in an
ordinary Naming Game or remains in a disordered, multi-language phase. At the
transition point separating these regimes, due to a percolation-like process,
the model converges to a single-language state but much faster than in the
ordinary naming game. We also show that the coarsening dynamics of the ordinary
Naming Game is slower than expected due to stripe structures that sometimes
spontaneously form during the evolution of the model.


title:
Inverse boundary problems for polyharmonic operators with unbounded
  potentials

abstract:
  We show that the knowledge of the Dirichlet-to-Neumann map on the boundary of
a bounded open set in $R^n$ for the perturbed polyharmonic operator
$(-\Delta)^m +q$ with $q\in L^{n/2m}$, $n>2m$, determines the potential $q$ in
the set uniquely. In the course of the proof, we construct a special Green
function for the polyharmonic operator and establish its mapping properties in
suitable weighted $L^2$ and $L^p$ spaces. The $L^p$ estimates for the special
Green function are derived from $L^p$ Carleman estimates with linear weights
for the polyharmonic operator.


title:
Robust optimization of periodically operated nonlinear uncertain
  processes

abstract:
  We present a method for determining optimal modes of operation for
autonomously oscillating systems with uncertain parameters. In a typical
application of the method, a nonlinear dynamical system is optimized with
respect to an economic objective function with nonlinear programming methods,
and stability is guaranteed for all points in a robustness region around the
optimal point. The stability constraints are implemented by imposing a lower
bound on the distance between the optimal point and all stability boundaries in
its vicinity, where stability boundaries are described with notions from
bifurcation theory. We derive the required constraints for a general class of
periodically operated processes and show how these bounds can be integrated
into standard nonlinear programming methods. We present results of the
optimization of two chemical reaction systems for illustration.


title:
Graph Colouring Problem Based on Discrete Imperialist Competitive
  Algorithm

abstract:
  In graph theory, Graph Colouring Problem (GCP) is an assignment of colours to
vertices of any given graph such that the colours on adjacent vertices are
different. The GCP is known to be an optimization and NP-hard problem.
Imperialist Competitive Algorithm (ICA) is a meta-heuristic optimization and
stochastic search strategy which is inspired from socio-political phenomenon of
imperialistic competition. The ICA contains two main operators: the
assimilation and the imperialistic competition. The ICA has excellent
capabilities such as high convergence rate and better global optimum
achievement. In this research, a discrete version of ICA is proposed to deal
with the solution of GCP. We call this algorithm as the DICA. The performance
of the proposed method is compared with Genetic Algorithm (GA) on seven
well-known graph colouring benchmarks. Experimental results demonstrate the
superiority of the DICA for the benchmarks. This means DICA can produce optimal
and valid solutions for different GCP instances.


title:
Implementation Of Back-Propagation Neural Network For Isolated Bangla
  Speech Recognition

abstract:
  This paper is concerned with the development of Back-propagation Neural
Network for Bangla Speech Recognition. In this paper, ten bangla digits were
recorded from ten speakers and have been recognized. The features of these
speech digits were extracted by the method of Mel Frequency Cepstral
Coefficient (MFCC) analysis. The mfcc features of five speakers were used to
train the network with Back propagation algorithm. The mfcc features of ten
bangla digit speeches, from 0 to 9, of another five speakers were used to test
the system. All the methods and algorithms used in this research were
implemented using the features of Turbo C and C++ languages. From our
investigation it is seen that the developed system can successfully encode and
analyze the mfcc features of the speech signal to recognition. The developed
system achieved recognition rate about 96.332% for known speakers (i.e.,
speaker dependent) and 92% for unknown speakers (i.e., speaker independent).


title: On a theorem of Braden

abstract:
  We give a new proof of Braden's theorem ([Br]) about \emph{hyperbolic
restrictions} of constructible sheaves/D-modules. The main geometric ingredient
in the proof is a 1-parameter family that degenerates a given scheme Z equipped
with a G_m-action to the product of the attractor and repeller loci.


title:
Thickness and power dependence of the spin-pumping effect in Y3Fe5O12/Pt
  heterostructures measured by the inverse spin Hall effect

abstract:
  The dependence of the spin-pumping effect on the yttrium iron garnet
(Y3Fe5O12, YIG) thickness detected by the inverse spin Hall effect (ISHE) has
been investigated quantitatively. Due to the spin-pumping effect driven by the
magnetization precession in the ferrimagnetic insulator YIG film a
spin-polarized electron current is injected into the Pt layer. This spin
current is transformed into electrical charge current by means of the ISHE. An
increase of the ISHE-voltage with increasing film thickness is observed and
compared to the theoretically expected behavior. The effective damping
parameter of the YIG/Pt samples is found to be enhanced with decreasing YIG
film thickness. The investigated samples exhibit a spin mixing conductance of
g=(7.43 \pm 0.36) \times 10^{18} m^{-2} and a spin Hall angle of theta_{ISHE} =
0.009 \pm 0.0008. Furthermore, the influence of nonlinear effects on the
generated voltage and on the Gilbert damping parameter at high excitation
powers are revealed. It is shown that for small YIG film thicknesses a
broadening of the linewidth due to nonlinear effects at high excitation powers
is suppressed because of a lack of nonlinear multi-magnon scattering channels.
We have found that the variation of the spin-pumping efficiency for thick YIG
samples exhibiting pronounced nonlinear effects is much smaller than the
nonlinear enhancement of the damping.


title:
A new characterization of the Clifford torus via scalar curvature
  pinching

abstract:
  Let $M^n$ be a compact hypersurface with constant mean curvature $H$ in
$\mathbb{S}^{n+1}$. Denote by $S$ the squared norm of the second fundamental
form of $M$. We prove that there exists a positive constant $\gamma(n)$
depending only on $n$ such that if $|H|\leq\gamma(n)$ and $\beta(n,H)\leq
S\leq\beta(n,H)+\frac{n}{23}$, then $S\equiv\beta(n,H)$ and $M$ is one of the
following cases: (i) $\mathbb{S}^{k}(\sqrt{\frac{k}{n}})\times
\mathbb{S}^{n-k}(\sqrt{\frac{n-k}{n}})$, $\,1\le k\le n-1$; (ii)
$\mathbb{S}^{1}(\frac{1}{\sqrt{1+\mu^2}})\times
\mathbb{S}^{n-1}(\frac{\mu}{\sqrt{1+\mu^2}})$. Here
$\beta(n,H)=n+\frac{n^3}{2(n-1)}H^2+\frac{n(n-2)}{2(n-1)}\sqrt{n^2H^4+4(n-1)H^2}$
and $\mu=\frac{n|H|+\sqrt{n^2H^2+4(n-1)}}{2}$. This provides a new
characterization of the Clifford torus.


title:
Existence and non-existence of frequently hypercyclic subspaces for
  weighted shifts

abstract:
  We study the existence and the non-existence of frequently hypercyclic
subspaces in Banach spaces. In particular, we give an example of a weighted
shift on lp possessing a frequently hypercyclic subspace and an example of a
frequently hypercyclic weighted shift on lp possessing a hypercyclic subspace
but no frequently hypercyclic subspace. The latter example allows us to answer
positively Problem 1 posed by Bonilla and Grosse-Erdmann in [Monatsh. Math. 168
(2012)].


title: The next best thing to a P-point

abstract:
  We study ultrafilters on $\omega^2$ produced by forcing with the quotient of
$\scr P(\omega^2)$ by the Fubini square of the Fr\'echet filter on $\omega$. We
show that such an ultrafilter is a weak P-point but not a P-point and that the
only non-principal ultrafilters strictly below it in the Rudin-Keisler order
are a single isomorphism class of selective ultrafilters. We further show that
it enjoys the strongest square-bracket partition relations that are possible
for a non-P-point. We show that it is not basically generated but that it
shares with basically generated ultrafilters the property of not being at the
top of the Tukey ordering. In fact, it is not Tukey-above
$[\omega_1]^{<\omega}$, and it has only continuum many ultrafilters Tukey-below
it. A tool in our proofs is the analysis of similar (but not the same)
properties for ultrafilters obtained as the sum, over a selective ultrafilter,
of non-isomorphic selective ultrafilters.


title: Gepner type stability condition via Orlov/Kuznetsov equivalence

abstract:
  We show the existence of Gepner type Bridgeland stability conditions on the
triangulated categories of graded matrix factorizations associated with
homogeneous polynomials which define general cubic fourfolds containing a
plane. The key ingredient is to describe the grade shift functor of matrix
factorizations in terms of sheaves of Clifford algebras on the projective plane
under Orlov/Kuznetsov equivalence.


title: Entropic Counterpart of Perturbative Einstein Equation

abstract:
  Entanglement entropy in a field theory, with a holographic dual, may be
viewed as a quantity which encodes the diffeomorphism invariant bulk gravity
dynamics. This, in particular, indicates that the bulk Einstein equations would
imply some constraints for the boundary entanglement entropy. In this paper we
focus on the change in entanglement entropy, for small but arbitrary
fluctuations about a given state, and analyze the constraints imposed on it by
the perturbative Einstein equations, linearized about the corresponding bulk
state. Specifically, we consider linear fluctuations about BTZ black hole in 3
dimension, pure AdS and AdS Schwarzschild black holes in 4 dimensions and
obtain a diffeomorphism invariant reformulation of linearized Einstein equation
in terms of holographic entanglement entropy. We will also show that
entanglement entropy for boosted subsystems provides the information about all
the components of the metric with a time index.


title:
Traffic Optimization to Control Epidemic Outbreaks in Metapopulation
  Models

abstract:
  We propose a novel framework to study viral spreading processes in
metapopulation models. Large subpopulations (i.e., cities) are connected via
metalinks (i.e., roads) according to a metagraph structure (i.e., the traffic
infrastructure). The problem of containing the propagation of an epidemic
outbreak in a metapopulation model by controlling the traffic between
subpopulations is considered. Controlling the spread of an epidemic outbreak
can be written as a spectral condition involving the eigenvalues of a matrix
that depends on the network structure and the parameters of the model. Based on
this spectral condition, we propose a convex optimization framework to find
cost-optimal approaches to traffic control in epidemic outbreaks.


title: Two-photon exchange in electron-trinucleon elastic scattering

abstract:
  We discuss two-photon exchange (TPE) in elastic electron scattering off the
trinucleon systems, 3He and 3H. The calculations are done in the
semirelativistic approximation with the trinucleon wave functions obtained with
the Paris and CD-Bonn nucleon-nucleon potentials. An applicability area of the
model is wide enough and includes the main part of kinematical domain where
experimental data exist. All three TPE amplitudes (generalized form factors)
for electron 3He elastic scattering are calculated. We find that the TPE
amplitudes are few times more significant in the scattring of electrons off 3He
then in the electron proton scattering.


title: Addendum to "On the consistency of MPS"

abstract:
  The analogies between the Moving Particle Semi-implicit method (MPS) and
Incompressible Smoothed Particle Hydrodynamics method (ISPH) are established in
this note, as an extension of the MPS consistency analysis conducted in
"Souto-Iglesias et al., Computer Physics Communications, 184(3), 2013."


title: Application of Floquet theory to dynamical systems with memory

abstract:
  We extend the recently developed generalized Floquet theory [Phys. Rev. Lett.
110, 170602 (2013)] to systems with infinite memory. In particular, we show
that a lower asymptotic bound exists for the Floquet exponents associated to
such cases. As examples, we analyze the cases of an ideal 1D system, a Brownian
particle, and a circuit resonator with an ideal transmission line. All these
examples show the usefulness of this new approach to the study of dynamical
systems with memory, which are ubiquitous in science and technology.


title:
Next-to-leading order pp -> W^\prime -> tb production at 14 TeV and 33
  TeV

abstract:
  I update the predicted leading order and next-to-leading order cross sections
and total widths for W^\prime bosons that decay to top and bottom quarks at 14
TeV and 33 TeV pp colliders (pp -> W^\prime -> tb). Separate tables are
included for right- and left-handed bosons. Theoretical uncertainties are
completely dominated by parton distribution function uncertainties, and are
computed for W^\prime_+- production at a 14 TeV pp collider.


title:
Experimental study of fusion neutron and proton yields produced by
  petawatt-laser-irradiated D2-3He or CD4-3He clustering gases

abstract:
  We report on experiments in which the Texas Petawatt laser irradiated a
mixture of deuterium or deuterated methane clusters and helium-3 gas,
generating three types of nuclear fusion reactions: D(d, 3He)n, D(d, t)p and
3He(d, p)4He. We measured the yields of fusion neutrons and protons from these
reactions and found them to agree with yields based on a simple cylindrical
plasma model using known cross sections and measured plasma parameters. Within
our measurement errors, the fusion products were isotropically distributed.
Plasma temperatures, important for the cross sections, were determined by two
independent methods: (1) deuterium ion time-of-flight, and (2) utilizing the
ratio of neutron yield to proton yield from D(d, 3He)n and 3He(d, p)4He
reactions, respectively. This experiment produced the highest ion temperature
ever achieved with laser-irradiated deuterium clusters.


title:
Permutation Enhanced Parallel Reconstruction with A Linear Compressive
  Sampling Device

abstract:
  In this letter, a permutation enhanced parallel reconstruction architecture
for compressive sampling is proposed. In this architecture, a measurement
matrix is constructed from a block-diagonal sensing matrix and the sparsifying
basis of the target signal. In this way, the projection of the signal onto the
sparsifying basis can be divided into several segments and all segments can be
reconstructed in parallel. Thus, the computational complexity and the time for
reconstruction can be reduced significantly. This feature is especially
appealing for big data processing. Furthermore, to reduce the number of
measurements needed to achieve the desired reconstruction error performance,
permutation is introduced for the projection of the signal. It is shown that
the permutation can be performed implicitly by using a pre-designed measurement
matrix. Thus, the permutation enhanced parallel reconstruction can be achieved
with a linear compressive sampling device.


title: Integrable G-Strands on semisimple Lie groups

abstract:
  The present paper derives systems of partial differential equations that
admit a quadratic zero curvature representation for an arbitrary real
semisimple Lie algebra. It also determines the general form of Hamilton's
principles and Hamiltonians for these systems and analyzes the linear stability
of their equilibrium solutions in the examples of $\mathfrak{so}(3)$ and
$\mathfrak{sl}(2,\mathbb{R})$.


title:
Tunnel magnetoresistance in organic spin valves in the regime of
  multi-step tunneling

abstract:
  A model of a spin valve in which electron transport between the magnetized
electrodes is due to multistep tunneling is analyzed. Motivated by recent
experiments on organic spin valves, we assume that spin memory loss in the
course of transport is due to random hyperfine fields acting on electron while
it waits for the next tunneling step. Amazingly, we identify the three-step
configurations of sites, for which the tunnel magnetoresistance (TMR) is
negative, suggesting that the resistance for antiparallel magnetizations of the
electrodes is smaller than for parallel magnetizations. We analyze the phase
volume of these configurations with respect to magnitudes and relative
orientations of the on-site hyperfine fields. The effect of sign reversal of
TMR is exclusively due to interference of the spin-flip amplitudes on each
site, it does not emerge within commonly accepted probabilistic description of
spin transport. Another feature specific to multistep inelastic tunneling is
bouncing of electron between nearest neighbors while awaiting a "hard" hop. We
demonstrate that this bouncing, being absolutely insignificant for conduction
of current, can strongly affect the spin memory loss. This effect is also of
interference origin.


title:
Local structure and defect segregation on the tilt grain boundaries in
  silicon

abstract:
  We present the results of atomistic and ab initio simulation of several
different tilt grain boundaries (GB) in silicon. The boundary structures
obtained with genetic algorithm turned out to have no coordination defects,
i.e. all silicon atoms restored their tetrahedral coordination during the
structure optimisation. That concerns previously known symmetric {\Sigma} 5
(130), {\Sigma} 3 (211) and {\Sigma} 29 (520) boundaries as well as previously
unknown asymmetric {\Sigma} 9 (-255)/(-211), {\Sigma} 3 (-255)/(211) and
{\Sigma} 13 (790)/(3 11 0) structures. We have performed an extensive study of
defect segregation on the boundaries, including neutral vacancy and carbon,
phosphorus and boron impurities. A clear correlation between the segregation
energy of the defect and local geometry of the boundary site where the defect
is segregated has been revealed. We suggest a simple purely geometric model for
evaluation of approximate segregation energies of the listed defects.


title:
A Novel Skew-Hamiltonian Isotropic Lanczos Algorithm for Spectral
  Conformal Parameterizations

abstract:
  Numerous methods for computing conformal mesh paramterizations has been
developed due to the vast applications in the field of geometry processing.
Spectral conformal parameterization (SCP) is one of these methods to computing
a quality conformal parameterization based on the spectral technique. SCP focus
on a generalized eigenvalue problem (GEP) $L_{C}\mathbf{f} = \lambda
B\mathbf{f}$ whose eigenvector(s) associated with the smallest positive
eigenvalue(s) will provide the parameterization result.
  This paper devotes to study a novel eigensolver for this GEP. Based on the
structures of matrix pair $(L_{C},B)$, we show that this GEP can be transformed
into a small-scaled compressed deating standard eigenvalue problem with a
symmetric positive definite skew-Hamiltonian operator. We then propose a
skew-Hamiltonian isotropic Lanczos algorithm (SHILA) to solve the reducing
problem. Numerical experiments show that our compressed deating skill remove
the inuence of the kernel of $L_{C}$ and transform the original problem to a
more robust system. The novel SHILA method can effective avoid the disturbance
of duplicate eigenvalues. As a result, our numerical eigensolver can accurately
and efficiently compute the conformal parameterization based on the spectral
model of SCP.


title: On Convolved Generalized Fibonacci and Lucas Polynomials

abstract:
  We define the convolved h(x)-Fibonacci polynomials as an extension of the
classical convolved Fibonacci numbers. Then we give some combinatorial formulas
involving the h(x)-Fibonacci and h(x)-Lucas polynomials. Moreover we obtain the
convolved h(x)-Fibonacci polynomials form a family of Hessenberg matrices.


title:
Real time quantum dynamics preaveraged over imaginary time path
  integral: A formal basis for both Centroid Molecular Dynamics and Ring
  Polymer Molecular Dynamics

abstract:
  An exact real time quantum dynamics preaveraged over imaginary time path
integral is formulated for general condensed phase equilibrium ensemble. This
formulation results in the well-known centroid dynamics approach upon filtering
of centroid constraint, and provides a rigorous framework to understand and
analyze a related quantum dynamics approximation method called ring polymer
molecular dynamics. The formulation also serves as the basis for developing new
kinds of quantum dynamics that utilize the cyclic nature of the imaginary time
path integral.


title: Liminf Sets in Simultaneous Diophantine Approximation

abstract:
  Let Q be an infinite set of positive integers. Denote by W(Q) the set of
n-tuples of real numbers simultaneously tau-well approximable by infinitely
many rationals with denominators in Q but only by finitely many rationals with
denominators in the complement of Q. The Hausdorff dimension of the liminf set
W(Q) is computed when tau > 2 + 1/n. A p-adic analogue of the problem is also
studied.


title: Continuum Hamiltonian Hopf Bifurcation I

abstract:
  Hamiltonian bifurcations in the context of noncanonical Hamiltonian matter
models are described. First, a large class of 1 + 1 Hamiltonian multi-fluid
models is considered. These models have linear dynamics with discrete spectra,
when linearized about homogeneous equilibria, and these spectra have
counterparts to the steady state and Hamiltonian Hopf bifurcations when
equilibrium parameters are varied. Examples of fluid sound waves and plasma and
gravitational streaming are treated in detail. Next, using these 1 + 1 examples
as a guide, a large class of 2 + 1 Hamiltonian systems is introduced, and
Hamiltonian bifurcations with continuous spectra are examined. It is shown how
to attach a signature to such continuous spectra, which facilitates the
description of the continuous Hamiltonian Hopf bifurcation. This chapter lays
the groundwork for Kre\u{i}n-like theorems associated with the CHH bifurcation
that are more rigorously discussed in our companion chapter \cite{chaptII}.

categories: math-ph math.MP nlin.CD physics.flu-dyn physics.plasm-ph


title:
Rotational covariance and GHZ contradictions for three or more particles
  of any dimension

abstract:
  Greenberger-Horne-Zeilinger (GHZ) states are characterized by their
transformation properties under a continuous symmetry group, and $N$-body
operators that transform covariantly exhibit a wealth of GHZ contradictions. We
show that local or noncontextual hidden variables cannot duplicate this
covariance for any state-changing transformations, and we extract specific GHZ
contradictions from discrete subgroups, with no restrictions on particle number
$N$ or dimension $d$ except for the fundamental requirement that $N \geq 3$ for
nonprobabilistic contradictions. However, the specific contradictions fall into
three regimes distinguished by increasing demands on the number of measurement
operators required for the proofs. We introduce new methods of proof that
define these regimes. The first recovers theorems equivalent to those found
recently by Ryu et. al. \cite{RLZL}, the first operator-based theorems for all
odd dimensions, $d$, covering many (but not all) particle numbers $N$ for each
$d$. The second and third produce new theorems that fill all remaining gaps
down to $N=3$, for every $d$. The common origin of all such GHZ contradictions
is that the GHZ states and measurement operators transform according to
different representations of the symmetry group, which has an intuitive
physical interpretation.


title: ClassSTRONG: Classical simulations of Strong Field processes

abstract:
  A set of Mathematica functions is presented to model classically two of the
most important processes in strong field physics, namely high-order harmonic
generation (HHG) and above-threshold ionization (ATI). Our approach is based on
the numerical solution of the Newton-Lorentz equation of an electron moving on
an electric field and takes advantage of the symbolic languages features and
graphical power of Mathematica. Similarly as in the Strong Field Approximation
(SFA), the effects of atomic potential on the motion of electron in the laser
field are neglected. The SFA has proven to be an essential tool in strong field
physics in the sense that it is able to predict with great precision the
harmonic (in the HHG) and energy (in the ATI) limits. We have extended
substantially the conventional classical simulations, where the electric field
is only dependent on time, including spatial nonhomogeneous fields and spatial
and temporal synthesized fields. Spatial nonhomogeneous fields appear when
metal nanosystems interact with strong and short laser pulses and temporal
synthesized fields are routinely generated in attosecond laboratories around
the world. Temporal and spatial synthesized fields have received special
attention nowadays because they would allow to exceed considerably the
conventional harmonic and electron energy frontiers. Classical simulations are
an invaluable tool to explore exhaustively the parameters domain at a cheap
computational cost, before massive quantum mechanical calculations, absolutely
indispensable for detailed analysis, are performed.


title: Bounding sequence extremal functions with formations

abstract:
  An $(r, s)$-formation is a concatenation of $s$ permutations of $r$ letters.
If $u$ is a sequence with $r$ distinct letters, then let $\mathit{Ex}(u, n)$ be
the maximum length of any $r$-sparse sequence with $n$ distinct letters which
has no subsequence isomorphic to $u$. For every sequence $u$ define
$\mathit{fw}(u)$, the formation width of $u$, to be the minimum $s$ for which
there exists $r$ such that there is a subsequence isomorphic to $u$ in every
$(r, s)$-formation. We use $\mathit{fw}(u)$ to prove upper bounds on
$\mathit{Ex}(u, n)$ for sequences $u$ such that $u$ contains an alternation
with the same formation width as $u$.
  We generalize Nivasch's bounds on $\mathit{Ex}((ab)^{t}, n)$ by showing that
$\mathit{fw}((12 \ldots l)^{t})=2t-1$ and $\mathit{Ex}((12\ldots l)^{t}, n)
=n2^{\frac{1}{(t-2)!}\alpha(n)^{t-2}\pm O(\alpha(n)^{t-3})}$ for every $l \geq
2$ and $t\geq 3$, such that $\alpha(n)$ denotes the inverse Ackermann function.
Upper bounds on $\mathit{Ex}((12 \ldots l)^{t} , n)$ have been used in other
papers to bound the maximum number of edges in $k$-quasiplanar graphs on $n$
vertices with no pair of edges intersecting in more than $O(1)$ points.
  If $u$ is any sequence of the form $a v a v' a$ such that $a$ is a letter,
$v$ is a nonempty sequence excluding $a$ with no repeated letters and $v'$ is
obtained from $v$ by only moving the first letter of $v$ to another place in
$v$, then we show that $\mathit{fw}(u)=4$ and $\mathit{Ex}(u, n)
=\Theta(n\alpha(n))$. Furthermore we prove that
$\mathit{fw}(abc(acb)^{t})=2t+1$ and $\mathit{Ex}(abc(acb)^{t}, n) =
n2^{\frac{1}{(t-1)!}\alpha(n)^{t-1}\pm O(\alpha(n)^{t-2})}$ for every $t\geq
2$.


title:
Non-Adlerian synchronization of dipolar coupled vortex Spin-Torque
  Nano-Oscillators

abstract:
  We investigate analytically and numerically the synchronization dynamics of
dipolarly coupled vortex based Spin-Torque Nano Oscillators (STNO) with
different pillar diameters. We identify the critical interpillar distances on
which synchronization occurs as a function of their diameter mismatch. We
obtain numerically a phase diagram showing the transition between
unsynchronized and synchronized states and compare it to analytical predictions
we make using Thiele approach. Our study demonstrates that for relatively small
diameters differences the synchronization dynamics can be described
qualitatively using Adler equation. However when the diameters difference
increases significantly, the system becomes strongly non-Adlerian.


title: Normal mass density of a superfluid Fermi gas at unitarity

abstract:
  We calculate the normal mass density of a paired Fermi gas at unitarity. The
dominant contribution near the superfluid transition is from fermionic
quasiparticle excitations, and is thus sensitive to the pairing gap. A
comparison with the recent experiment of Sidorenkov et al. suggests that the
superfluid gap near the transition temperature is larger than the BCS value,
but the data do not permit a quantitative inference of the gap. Calculations of
the quenched moment of inertia of a BCS superfluid in a harmonic trap are in
reasonable agreement with the earlier experiment of Riedl et al.


title: Tropical complexes

abstract:
  We introduce tropical complexes, as an enrichment of the dual complex of a
degeneration with additional data from non-transverse intersection numbers. We
define cycles, divisors, and linear equivalence on tropical complexes,
analogous both to the corresponding theories on algebraic varieties and to
previous work on graphs and abstract tropical curves. In addition, we establish
conditions for the divisor-curve intersection numbers on a tropical complex to
agree with the generic fiber of a degeneration.


title:
A Mixed Value and Policy Iteration Method for Stochastic Control with
  Universally Measurable Policies

abstract:
  We consider stochastic control models with Borel spaces and universally
measurable policies. For such models the standard policy iteration is known to
have difficult measurability issues and cannot be carried out in general. We
present a mixed value and policy iteration method that circumvents this
difficulty. The method allows the use of stationary policies in computing the
optimal cost function, in a manner that resembles policy iteration. It can also
be used to address similar difficulties of policy iteration in the context of
upper and lower semicontinuous models. We analyze the convergence of the method
in infinite horizon total cost problems, for the discounted case where the
one-stage costs are bounded, and for the undiscounted case where the one-stage
costs are nonpositive or nonnegative.
  For undiscounted total cost problems with nonnegative one-stage costs, we
also give a new convergence theorem for value iteration, which shows that value
iteration converges whenever it is initialized with a function that is above
the optimal cost function and yet bounded by a multiple of the optimal cost
function. This condition resembles Whittle's bridging condition and is partly
motivated by it. The theorem is also partly motivated by a result of Maitra and
Sudderth, which showed that value iteration, when initialized with the constant
function zero, could require a transfinite number of iterations to converge. We
use the new convergence theorem for value iteration to establish the
convergence of our mixed value and policy iteration method for the nonnegative
cost case.


title:
New determination of double-beta-decay properties in 48Ca:
  high-precision Q-value measurement and improved nuclear matrix element
  calculations

abstract:
  We report a direct measurement of the Q-value of the neutrinoless
double-beta-decay candidate 48Ca at the TITAN Penning-trap mass spectrometer,
with the result that Q = 4267.98(32) keV. We measured the masses of both the
mother and daughter nuclides, and in the latter case found a 1 keV deviation
from the literature value. In addition to the Q-value, we also present results
of a new calculation of the neutrinoless double-beta-decay nuclear matrix
element of 48Ca. Using diagrammatic many-body perturbation theory to second
order to account for physics outside the valence space, we constructed an
effective shell-model double-beta-decay operator, which increased the nuclear
matrix element by about 75% compared with that produced by the bare operator.
The new Q-value and matrix element strengthen the case for a 48Ca
double-beta-decay experiment.


title: Regularity criterion and classification for algebras of Jordan type

abstract:
  We show that Artin-Schelter regularity of a $\mathbb{Z}$-graded algebra can
be examined by its associated $\mathbb{Z}^r$-graded algebra. We prove that
there is exactly one class of four-dimensional Artin-Schelter regular algebras
with two generators of degree one in the Jordan case. This class is strongly
noetherian, Auslander regular, and Cohen-Macaulay. Their automorphisms and
point modules are described.


title:
Ordered Growth of Topological Insulator Bi2Se3 Thin Films on Dielectric
  Amorphous SiO2 by MBE

abstract:
  Topological insulators (TIs) are exotic materials which have topologically
protected states on the surface due to the strong spin-orbit coupling. However,
a lack of ordered growth of TI thin films on amorphous dielectrics and/or
insulators presents a challenge for applications of TI-junctions. We report the
growth of topological insulator Bi2Se3 thin films on amorphous SiO2 by
molecular beam epitaxy (MBE). To achieve the ordered growth of Bi2Se3 on
amorphous surface, the formation of other phases at the interface is suppressed
by Se passivation. Structural characterizations reveal that Bi2Se3 films are
grown along the [001] direction with a good periodicity by van der Waals
epitaxy mechanism. Weak anti-localization effect of Bi2Se3 films grown on
amorphous SiO2 shows modulated electrical property by the gating response. Our
approach for ordered growth of Bi2Se3 on amorphous dielectric surface presents
considerable advantages for TI-junctions with amorphous insulator or dielectric
thin films.


title: Reference Distance Estimator

abstract:
  A theoretical study is presented for a simple linear classifier called
reference distance estimator (RDE), which assigns the weight of each feature j
as P(r|j)-P(r), where r is a reference feature relevant to the target class y.
The analysis shows that if r performs better than random guess in predicting y
and is conditionally independent with each feature j, the RDE will have the
same classification performance as that from P(y|j)-P(y), a classifier trained
with the gold standard y. Since the estimation of P(r|j)-P(r) does not require
labeled data, under the assumption above, RDE trained with a large number of
unlabeled examples would be close to that trained with infinite labeled
examples. For the case the assumption does not hold, we theoretically analyze
the factors that influence the closeness of the RDE to the perfect one under
the assumption, and present an algorithm to select reference features and
combine multiple RDEs from different reference features using both labeled and
unlabeled data. The experimental results on 10 text classification tasks show
that the semi-supervised learning method improves supervised methods using
5,000 labeled examples and 13 million unlabeled ones, and in many tasks, its
performance is even close to a classifier trained with 13 million labeled
examples. In addition, the bounds in the theorems provide good estimation of
the classification performance and can be useful for new algorithm design.


title:
Fast Basins and Branched Fractal Manifolds of Attractors of Iterated
  Function Systems

abstract:
  The fast basin of an attractor of an iterated function system (IFS) is the
set of points in the domain of the IFS whose orbits under the associated
semigroup intersect the attractor. Fast basins can have non-integer dimension
and comprise a class of deterministic fractal sets. The relationship between
the basin and the fast basin of a point-fibred attractor is analyzed. To better
understand the topology and geometry of fast basins, and because of analogies
with analytic continuation, branched fractal manifolds are introduced. A
branched fractal manifold is a metric space constructed from the extended code
space of a point-fibred attractor, by identifying some addresses. Typically, a
branched fractal manifold is a union of a nondenumerable collection of
nonhomeomorphic objects, isometric copies of generalized fractal blowups of the
attractor.


title:
Pulsed Laser Deposition of High-Quality Thin Films of the Insulating
  Ferromagnet EuS

abstract:
  High-quality thin films of the ferromagnetic-insulator europium(II) sulfide
(EuS) were fabricated by pulsed laser deposition on Al2O3 (0001) and Si (100)
substrates. A single orientation was obtained with the [100] planes parallel to
the substrates, with atomic-scale smoothness indicates a near-ideal surface
topography. The films exhibit uniform ferromagnetism below 15.9 K, with a
substantial component of the magnetization perpendicular to the plane of the
films. Optimization of the growth condition also yielded truly insulating films
with immeasurably large resistance. This combination of magnetic and electric
properties open the gate for novel devices that require a true ferromagnetic
insulator.


abstract:
  Using vertex operator we study Macdonald symmetric functions of rectangular
shapes and their connection with the q-Dyson Laurent polynomial. We find a
vertex operator realization of Macdonald functions and thus give a generalized
Frobenius formula for them. As byproducts of the realization, we find a q-Dyson
constant term orthogonality relation which generalizes a conjecture due to
Kadell in 2000, and we generalize Matsumoto's hyperdeterminant formula for
rectangular Jack functions to Macdonald functions.


title: Sublinear Matching With Finite Automata Using Reverse Suffix Scanning

abstract:
  We give algorithms to accelerate the computation of deterministic finite
automata (DFA) by calculating the state of a DFA n positions ahead utilizing a
reverse scan of the next n characters. Often this requires scanning fewer than
n characters resulting in a fraction of the input being skipped and a
commensurate increase in processing speed. The skipped fraction is > 80% in
several of our examples. We introduce offsetting finite automata (OFA) to
encode the accelerated computation. OFA generalize DFA by adding an integer
offset to the current input index at each state transition. We give algorithms
for constructing an OFA that accepts the same language as a DFA while possibly
skipping input, and for matching with an OFA. Compared to previous algorithms
that attempt to skip some of the input, the new matching algorithm can skip
more often and can skip farther. In the worst case the new matching algorithm
scans the same number of characters as a simple forward scan, whereas previous
approaches often scan more, so the new algorithm can be used as a reliable
replacement for the simple forward scan. Additionally, the new algorithm adapts
to available memory and time constraints.


title: Orthogonal graphs over Galois rings of odd characteristic

abstract:
  Assume that $\nu$ is a positive integer and $\delta=0, 1$ or $2$. In this
paper we introduce the orthogonal graph $\Gamma^{2\nu+\delta}$ over a Galois
ring of odd characteristic and prove that it is arc transitive. Moreover, we
compute its parameters as a quasi-strongly regular graph. In particular, we
show that $\Gamma^{2+\delta}$ is a strongly regular graph and $\Gamma^{2\nu+1}$
is a strictly Deza graph when $\nu\geq 2$.


title: Protein conformational dynamics and electronic structure

abstract:
  Quantum mechanical calculations are performed on 116 conformers of the
protein ubiquitin (Lange et al., Science 2008, 320, 1471-1475). The results
indicate that the heat of formation (HOF), dipole moment, energy of the
frontier orbitals HOMO and LUMO, and HOMO-LUMO gap fluctuate within their
corresponding ranges. This study thus provides a link between the
conformational dynamics of a protein and its electronic structure.


title: Higher hairy graph homology

abstract:
  We study the hairy graph homology of a cyclic operad; in particular we show
how to assemble corresponding hairy graph cohomology classes to form cocycles
for ordinary graph homology, as defined by Kontsevich. We identify the part of
hairy graph homology coming from graphs with cyclic fundamental group as the
dihedral homology of a related associative algebra with involution. For the
operads Comm, Assoc and Lie we compute this algebra explicitly, enabling us to
apply known results on dihedral homology to the computation of hairy graph
homology. In addition we determine the image in hairy graph homology of the
trace map defined in [CKV], as a symplectic representation.
  For the operad Lie assembling hairy graph cohomology classes yields all known
non-trivial rational homology of Out(F_n). The hairy graph homology of Lie is
also useful for constructing elements of the cokernel of the Johnson
homomomorphism of a once-punctured surface.


title: A characterization of bipartite Leonard pairs using the notion of a tail

abstract:
  Let $V$ denote a vector space with finite positive dimension. We consider an
ordered pair of linear transformations $A: V\rightarrow V$ and $A^*:
V\rightarrow V$ that satisfy (i) and (ii) below.
  (i) There exists a basis for $V$ with respect to which the matrix
representing $A$ is irreducible tridiagonal and the matrix representing $A^*$
is diagonal.
  (ii) There exists a basis for $V$ with respect to which the matrix
representing $A^*$ is irreducible tridiagonal and the matrix representing $A$
is diagonal.
  We call such a pair a Leonard pair on $V$. Very roughly speaking, a Leonard
pair is a linear algebraic abstraction of a $Q$-polynomial distance-regular
graph. There is a well-known class of distance-regular graphs said to be
bipartite and there is a related notion of a bipartite Leonard pair. Recently,
M. S. Lang introduced the notion of a tail for bipartite distance-regular
graphs, and there is an abstract version of this tail notion. Lang
characterized the bipartite $Q$-polynomial distance-regular graphs using tails.
In this paper, we obtain a similar characterization of the bipartite Leonard
pairs using tails. Whereas Lang's arguments relied on the combinatorics of a
distance-regular graph, our results are purely algebraic in nature.


title: Layered Constructions for Low-Delay Streaming Codes

abstract:
  We propose a new class of error correction codes for low-delay streaming
communication. We consider an online setup where a source packet arrives at the
encoder every $M$ channel uses, and needs to be decoded with a maximum delay of
$T$ packets. We consider a sliding-window erasure channel --- $\cC(N,B,W)$ ---
which introduces either up to $N$ erasures in arbitrary positions, or $B$
erasures in a single burst, in any window of length $W$. When $M=1$, the case
where source-arrival and channel-transmission rates are equal, we propose a
class of codes --- MiDAS codes --- that achieve a near optimal rate. Our
construction is based on a {\em layered} approach. We first construct an
optimal code for the $\cC(N=1,B,W)$ channel, and then concatenate an additional
layer of parity-check symbols to deal with $N>1$. When $M > 1$, the case where
source-arrival and channel-transmission rates are unequal, we characterize the
capacity when $N=1$ and $W \ge M(T+1),$ and for $N>1$, we propose a
construction based on a layered approach. Numerical simulations over
Gilbert-Elliott and Fritchman channel models indicate significant gains in the
residual loss probability over baseline schemes. We also discuss the connection
between the error correction properties of the MiDAS codes and their underlying
column distance and column span.


title:
Tentative identification of the source of four UHECRs, and implications
  thereof

abstract:
  Four UHECRs in the combined HiRes and AGASA datasets are backtracked in the
Galactic magnetic field. They point to a common source which is localized to
within 1 degree, if they are protons as is shown to be the most probable charge
assignment. A Swift-BAT hard X-ray AGN in the galaxy CGCG 291-028 is the only
notable source candidate within the source locus and within the GZK distance
horizon. The spectrum of the four events is consistent with production in a
transient event such as a stellar tidal disruption flare. Under the assumption
the UHECRs were produced in CGCG 291-028, the total energy of UHECRs produced
by the transient can be estimated and extragalactic magnetic deflections can be
constrained. If CGCG 291-028 is indeed the source of the UHECRs, observations
of its present state should elucidate the phenomenon of UHECR acceleration.


title: On OBDDs for CNFs of bounded treewidth

abstract:
  In this paper we show that a CNF cannot be compiled into an Ordered Binary
Decision Diagram (OBDD) of fixed-parameter size parameterized by the primal
graph treewidth of the CNF. Thus we provide a parameterized separation between
OBDDs and Sentential Decision Diagrams (SDDs) for which such fixed-parameter
compilation is possible. In fact, we demonstrate that the proposed lower bound
also yields a classical (non-parameterized) separation of OBDDs and SDDs. We
also show that the best existing parameterized upper bound for OBDDs in fact
holds for incidence graph treewidth parameterization.


abstract:
  It is a long term desire of the computer users to minimize the communication
gap between the computer and a human. On the other hand, almost all ICT
applications store information in to databases and retrieve from them.
Retrieving information from the database requires knowledge of technical
languages such as Structured Query Language. However majority of the computer
users who interact with the databases do not have a technical background and
are intimidated by the idea of using languages such as SQL. For above reasons,
a Natural Language Web Interface for Database (NLWIDB) has been developed. The
NLWIDB allows the user to query the database in a language more like English,
through a convenient interface over the Internet.


title: Strict majority bootstrap percolation in the r-wheel

abstract:
  In this paper we study the strict majority bootstrap percolation process on
graphs. Vertices may be active or passive. Initially, active vertices are
chosen independently with probability p. Each passive vertex becomes active if
at least half of its neighbors are active (and thereafter never changes its
state). If at the end of the process all vertices become active then we say
that the initial set of active vertices percolates on the graph. We address the
problem of finding graphs for which percolation is likely to occur for small
values of p. Specifically, we study a graph that we call r-wheel: a ring of n
vertices augmented with a universal vertex where each vertex in the ring is
connected to its r closest neighbors to the left and to its r closest neighbors
to the right. We prove that the critical probability is 1/4. In other words, if
p>1/4 then for large values of r percolation occurs with probability
arbitrarily close to 1 as n goes to infinity. On the other hand, if p<1/4 then
the probability of percolation is bounded away from 1.


title: Temporal-Spatial Interference Pattern During Solitons Interaction

abstract:
  Interference patterns associated with soliton-soliton interaction are
investigated in detail. We find that the temporal and spatial interference
patterns exhibit quite different characteristics. The period of the spatial
interference pattern is determined by the relative velocity of the solitons,
and the temporal pattern behavior is determined by the peak amplitudes and the
kinetic energy of the solitons. Analytical expressions for the periods of the
interference patterns are obtained. A method for classifying the nonlinearity
of many nonlinear systems is proposed. As an example, we discuss possibilities
to observe these properties of solitons in a nonlinear planar waveguide.


title:
A model independent approach towards resource count and precision limits
  in a general measurement

abstract:
  A formulation towards quantifying resource count used in a measurement, that
is independent of the model of the measurement dynamics(Quantum/Classical), is
considered. For any general measurement with $(M+1)$ discrete outcomes, it is
found that there is a unique probability distribution that minimizes the
measurement error, with the error scaling as $1/M$. For a measurement with a
finite resource$(R)$, this absolute bound implies the resource count to be
equal to the possible outcomes i.e. $R=M$. This formulation therefore provides
a model independent route towards estimating resource count used in any general
measurement scheme.


title: When are IG-projective modules projective?

abstract:
  This paper concerns when a finitely generated IG-projective module is
projective over commutative Noetherian local rings. We prove that a finitely
generated IG-projective module is projective if and only if it is
selforthogonal.


title:
Quantitative Raman Spectrum and Reliable Thickness Identification for
  Atomic Layers on Insulating Substrates

abstract:
  We demonstrate the possibility in quantifying the Raman intensities for both
specimen and substrate layers in a common stacked experimental configuration
and, consequently, propose a general and rapid thickness identification
technique for atomic-scale layers on dielectric substrates. Unprecedentedly
wide-range Raman data for atomically flat MoS2 flakes are collected to compare
with theoretical models. We reveal that all intensity features can be
accurately captured when including optical interference effect. Surprisingly,
we find that even freely suspended chalcogenide few-layer flakes have a
stronger Raman response than that from the bulk phase. Importantly, despite the
oscillating intensity of specimen spectrum versus thickness, the substrate
weighted spectral intensity becomes monotonic. Combined with its sensitivity to
specimen thickness, we suggest this quantity can be used to rapidly determine
the accurate thickness for atomic layers.


title:
Redundancy Generation in University-Industry-Government Relations: The
  Triple Helix Modeled, Measured, and Simulated

abstract:
  A Triple Helix (TH) of bi- and trilateral relations among universities,
industries, and governments can be considered as an ecosystem in which
uncertainty can be reduced auto-catalytically. The correlations among the
distributions of relations span a vector space in which two vectors (P and Q)
represent "sending" and "receiving," respectively. These vectors can also be
understood in terms of the generation versus reduction of uncertainty in the
communication field that results from interactions among the three (bi-lateral)
communication channels. We specify a set of Lotka-Volterra equations between
the vectors that can be solved. Redundancy generation can then be simulated and
the results can be decomposed in terms of the TH components. Among other
things, we show that the strength and frequency of the relations are
independent parameters. Different components in terms of frequencies in
triple-helix systems can also be distinguished and interpreted using Fourier
analysis of the empirical time-series. The case of co-authorship relations in
Japan is analyzed as an empirical example; but "triple contingencies" in an
ecosystem of relations can also be considered more generally as a model for
redundancy generation by providing meaning to the (Shannon-type) information in
inter-human communications.


title:
Thickness-Dependent Interfacial Coulomb Scattering in Atomically Thin
  Field-Effect Transistors

abstract:
  Two-dimensional semiconductors are structurally ideal channel materials for
the ultimate atomic electronics after silicon era. A long-standing puzzle is
the low carrier mobility ({\mu}) in them as compared with corresponding bulk
structures, which constitutes the main hurdle for realizing high-performance
devices. To address this issue, we perform combined experimental and
theoretical study on atomically thin MoS2 field effect transistors with varying
the number of MoS2 layers (NLs). Experimentally, an intimate relation is
observed with a 10-fold degradation in {\mu} for extremely thinned monolayer
channels. To accurately describe the carrier scattering process and shed light
on the origin of the thinning-induced mobility degradation, a generalized
Coulomb scattering model is developed with strictly considering device
configurative conditions, i.e., asymmetric dielectric environments and lopsided
carrier distribution. We reveal that the carrier scattering from interfacial
Coulomb impurities (e.g., chemical residues, gaseous adsorbates and surface
dangling bonds) is greatly intensified in extremely thinned channels, resulting
from shortened interaction distance between impurities and carriers. Such a
pronounced factor may surpass lattice phonons and serve as dominant scatterers.
This understanding offers new insight into the thickness induced scattering
intensity, highlights the critical role of surface quality in electrical
transport and would lead to rational performance improvement strategies for
future atomic electronics.


title: Colored knot amplitudes and Hall-Littlewood polynomials

abstract:
  The amplitudes of refined Chern-Simons (CS) theory, colored by antisymmetric
(or symmetric) representations, conjecturally generate the Lambda^r- (or S^r-)
colored triply graded homology of (n,m) torus knots. This paper is devoted to
the generalization of Rosso-Jones formula to refined amplitudes, that involves
non-trivial Gamma-factors -- expansion coefficients in the Macdonald basis. We
derive from refined CS theory a linear recursion w.r.t. transformations (n,m)
-> (n, n+m) and (n,m) -> (m,-n) that fully determines these factors. Applying
this recursion to (n,nk+1) torus knots colored by antisymmetric representations
[1^r] we prove that their amplitudes are rectangular [n^r] Hall-Littlewood
polynomials under k units of framing (a.k.a. the Bergeron-Garsia nabla)
operator. For symmetric representations [r], we find the dual -- q-Whittaker --
polynomials. These results confirm and give a colored extension of the
observation of arXiv:1201.3339 that triply graded homology of many torus knots
has a strikingly simple description in terms of Hall-Littlewood polynomials.


title: Consensus Sequence Segmentation

abstract:
  In this paper we introduce a method to detect words or phrases in a given
sequence of alphabets without knowing the lexicon. Our linear time unsupervised
algorithm relies entirely on statistical relationships among alphabets in the
input sequence to detect location of word boundaries. We compare our algorithm
to previous approaches from unsupervised sequence segmentation literature and
provide superior segmentation over number of benchmarks.


title:
On Conjugacy of MASAs and the Outer Automorphism Group of the Cuntz
  Algebra

abstract:
  We investigate the structure of the outer automorphism group of the Cuntz
algebra and the closely related problem of conjugacy of MASAa in O_n. In
particular, we exhibit an uncountable family of MASAs, conjugate to the
standard MASA D_n via Bogolubov automorphisms, that are not inner conjugate to
D_n.


title:
Quantum-kinetic theory of steady-state photocurrent generation in thin
  films: Coherent versus incoherent coupling

abstract:
  The generation of photocurrents due to coupling of electrons to both
classical and quantized electromagnetic fields in thin semiconductor films is
described within the framework of the nonequilibrium Green's function
formalism. For the coherent coupling to classical fields corresponding to
single field operator averages, an effective two-time intraband self-energy is
derived from a band decoupling procedure. The evaluation of coherent
photogeneration is performed self-consistently with the propagation of the
fields by using for the latter a transfer matrix formalism with an extinction
coefficient derived from the electronic Green's functions. For the "incoherent"
coupling to fluctuations of the quantized fields, which need to be considered
for the inclusion of spontaneous emission, the first self-consistent Born
self-energy is used, with full spatial resolution in the photon Green's
functions. These are obtained from the numerical solution of Dyson and Keldysh
equations including a nonlocal photon self-energy based on the same interband
polarization function as used for the coherent case. A comparison of the
spectral and integral photocurrent generation pattern reveals a close agreement
between coherent and incoherent coupling for the case of an ultrathin,
selectively contacted absorber layer at short circuit conditions.


title: Modeling Self-Similar Traffic for Network Simulation

abstract:
  In order to closely simulate the real network scenario thereby verify the
effectiveness of protocol designs, it is necessary to model the traffic flows
carried over realistic networks. Extensive studies [1] showed that the actual
traffic in access and local area networks (e.g., those generated by ftp and
video streams) exhibits the property of self-similarity and long-range
dependency (LRD) [2]. In this appendix we briefly introduce the property of
self-similarity and suggest a practical approach for modeling self-similar
traces with specified traffic intensity.


title: Coarse-graining DNA for simulations of DNA nanotechnology

abstract:
  To simulate long time and length scale processes involving DNA it is
necessary to use a coarse-grained description. Here we provide an overview of
different approaches to such coarse graining, focussing on those at the
nucleotide level that allow the self-assembly processes associated with DNA
nanotechnology to be studied. OxDNA, our recently-developed coarse-grained DNA
model, is particularly suited to this task, and has opened up this field to
systematic study by simulations. We illustrate some of the range of DNA
nanotechnology systems to which the model is being applied, as well as the
insights it can provide into fundamental biophysical properties of DNA.


title:
OSp(4|4) superconformal currents in three-dimensional N=4 Chern-Simons
  quiver gauge theories

abstract:
  We prove explicitly that the general D=3, N=4 Chern-Simons-matter (CSM)
theory has a complete OSp(4|4) superconformal symmetry, and construct the
corresponding conserved currents. We re-derive the OSp(5|4) superconformal
currents in the general N=5 theory as special cases of the OSp(4|4) currents by
enhancing the supersymmetry from N=4 to N=5. The closure of the full OSp(4|4)
superconformal algebra is verified explicitly.


title: Optical isolation via unidirectional resonant photon tunneling

abstract:
  We show that tri-layer structures combining epsilon-negative and
magneto-optical material layers can exhibit unidirectional resonant photon
tunneling phenomena that can discriminate between circularly-polarized (CP)
waves of given handedness impinging from opposite directions, or between CP
waves with different handedness impinging from the same direction. This
physical principle, which can also be interpreted in terms of a
Fabry-Perot-type resonance, may be utilized to design compact optical isolators
for CP waves. Within this framework, we derive simple analytical conditions and
design formulae, and quantitatively assess the isolation performance, also
taking into account the unavoidable imperfections and nonidealities.


title:
Asynchronous Source Clock Frequency Recovery through Aperiodic Packet
  Streams

abstract:
  We consider the most general case of source clock frequency recovery (SCFR)
in packet networks, i.e., asynchronous SCFR through aperiodic packet streams,
where there is neither a common reference clock nor any relation between packet
generation intervals and a source clock frequency. We formulate the problem of
asynchronous SCFR with timestamps as a linear case of regression through the
origin (RTO) and propose two schemes, one based on recursive least squares
(RLS) method and the other based on simple heuristics of cumulative ratio of
interarrival and interdeparture times, which provide better estimates of the
source clock frequency with faster convergence than conventional phase-locked
loop (PLL)-based schemes.


title:
Exploiting Binary Floating-Point Representations for Constraint
  Propagation: The Complete Unabridged Version

abstract:
  Floating-point computations are quickly finding their way in the design of
safety- and mission-critical systems, despite the fact that designing
floating-point algorithms is significantly more difficult than designing
integer algorithms. For this reason, verification and validation of
floating-point computations is a hot research topic. An important verification
technique, especially in some industrial sectors, is testing. However,
generating test data for floating-point intensive programs proved to be a
challenging problem. Existing approaches usually resort to random or
search-based test data generation, but without symbolic reasoning it is almost
impossible to generate test inputs that execute complex paths controlled by
floating-point computations. Moreover, as constraint solvers over the reals or
the rationals do not natively support the handling of rounding errors, the need
arises for efficient constraint solvers over floating-point domains. In this
paper, we present and fully justify improved algorithms for the propagation of
arithmetic IEEE 754 binary floating-point constraints. The key point of these
algorithms is a generalization of an idea by B. Marre and C. Michel that
exploits a property of the representation of floating-point numbers.


title:
Bright 22 $\mu$m Excess Candidates from WISE All-Sky Catalog and
  Hipparcos Main Catalog

abstract:
  In this paper we present a catalog which includes 141 bright candidates
($\leq10.27$ mag, V band) showing the infrared (IR) excess at 22 $\mu$m. Of
which, 38 stars are known IR excess stars or disk, 23 stars are double or
multiple stars and 4 are Be stars. While the remaining more than 70 stars are
identified as the 22 $\mu$m excess candidates in our work. The criterion of
selecting candidates is $K_s-[22]_{\mu m}$. All these candidates are selected
from \emph{WISE} All-sky data cross-correlated with \emph{Hipparcos} Main
Catalog and the likelihood-ratio technique is employed. Considering the effect
of background, we introduce the \emph{IRAS} 100 $\mu$m level to exclude the
high background. We also estimated the coincidence probability of these
sources. In addition, we presented the optical to mid-infrared SEDs and optical
images of all the candidates, and gave the observed optical spectra of 6 stars
with NAOC's 2.16-m telescope. To measure for the dust amount around each star,
the fractional luminosity is also provided. We also test whether our method of
selecting IR excess stars can be used to search for extra-solar planets, we
cross-matched our catalog with known IR-excess stars having planets but none is
matched. Finally, we give the fraction of stars showing IR-excess for different
spectral type of main-sequence stars.


title:
The Effect of ISP Traffic Shaping on User-Perceived Performances in
  Broadband Shared Access Networks

abstract:
  Recent studies on the practice of shaping subscribers' traffic by ISPs give a
new insight into the actual performance of broadband access networks at a
packet level. Unlike metro and backbone networks, however, access networks
directly interface with end-users, so it is important to base the study and
design of access networks on the behaviors of and the actual performance
perceived by end-users. In this paper we study the effect of ISP traffic
shaping using traffic models based on user behaviors and
application/session-layer metrics providing quantifiable measures of
user-perceived performance for HTTP, FTP, and streaming video traffic. To
compare the user-perceived performance of shaped traffic flows with those of
unshaped ones in an integrated way, we use a multivariate non-inferiority
testing procedure. We first investigate the effect of the token generation rate
and the token bucket size of a token bucket filter on user-perceived
performance at a subscriber level with a single subscriber. Then we investigate
their effect at an access level where shaped traffic flows from multiple
subscribers interact with one another in a common shared access network. The
simulation results show that for a given token generation rate, a larger token
bucket provides better user-perceived performance at both subscriber and access
levels. It is also shown that the loose burst control resulting from the large
token bucket --- up to 100 MB for access line rate of 100 Mbit/s --- does not
negatively affect user-perceived performance with multiple subscribers even in
the presence of non-conformant subscribers; with a much larger token bucket,
however, the negative effect of non-conformant subscribers on the
user-perceived performance of conformant subscribers becomes clearly visible
because the impact of token bucket size and that of token generation rate are
virtually indistinguishable in this case.


title:
The BaSTI Stellar Evolution Database: models for extremely metal-poor
  and super-metal-rich stellar populations

abstract:
  We present an extension of the BaSTI stellar evolution database to extremely
metal poor (${\rm Z=10^{-5}}$) and super-metal-rich (Z=0.05) metallicities,
with both scaled-solar and $\alpha$-enhanced ([$\alpha$/Fe]=0.4) heavy element
distributions. These new tracks (from the pre-main sequence to the
early-asymptotic giant branch phase), horizontal branch models and isochrones,
will enable the use of the BaSTI database to study, i.e., the most metal poor
populations found in Local Group faint dwarf galaxies, and the metal rich
component of the Galactic bulge. An overview of several fundamental predictions
of stellar evolution over the full metallicity range of BaSTI is presented,
together with comparisons with literature calculations at ${\rm Z=10^{-5}}$ and
Z=0.05.


title: Two Component Higgs-Portal Dark Matter

abstract:
  In this paper, we construct two component dark matter model and revisit
fine-tuning, unitarity and vacuum stability problem in this framework. Through
Higgs-portal interactions, the additional scalar and vector singlet field can
interact with the SM particles. The parameter space of the model are severely
constraint by observed relic density and direct detection experiments. We found
that, unlike the SM, the fine-tuning problem is relaxed due to the modified
Veltman condition. The vacuum stability problem is addressed, the additional
contributions from two DM singlets to the $\beta$ function make the Higgs
quartic coupling $\lambda(\mu)$ be positive up to Planck scale in some
parameter space.


title:
The statistical description of the electron system on the liquid helium
  surface

abstract:
  It is known that homogeneous distribution of particles in Coulomb-like
systems can be unstable, and spatially inhomogeneous structures can be formed.
A simple method for describing such inhomogeneous systems and obtaining spacial
distributions of electron density is proposed and applied to the case of
two-dimensional electron systems on surface of liquid helium. A free energy
functional for the model in mean field approximation is obtained. Creation of
various types of structures, such as long-range periodical modulation and
multi-electron dimples, is predicted by minimizing this functional.


title: A generalization of Frieman's 3k-3 theorem

abstract:
  We prove a generalization of Frieman's $3k-3$ theorem for the sumset $$
\Sigma^{l}(A_1,\ldots,A_k)=\{a_{j_{1}}+\cdots+a_{j_{l}}:\,1\leq
j_{1}<\cdots<j_{l}\leq k,\ a_{j_{s}}\in A_{j_{s}}\text{ for all }s\}. $$


title:
Probing the Turbulent Ambipolar Diffusion Scale in Molecular Clouds with
  Spectroscopy

abstract:
  We estimate the turbulent ambipolar diffusion length scale and magnetic field
strength in the massive dense cores CygX-N03 and CygX-N53, located in the
Cygnus-X star-forming region. The method we use requires comparing the velocity
dispersions in the spectral line profiles of the coexistent ion and neutral
pair H13CN and H13CO+ (J=1-0) at different length scales. We fit
Kolmogorov-type power laws to the lower envelopes of the velocity dispersion
spectra of the two species. This allows to calculate the turbulent ambipolar
diffusion scale, which in turn determines the plane-of-the-sky magnetic field
strength. We find turbulent ambipolar diffusion length scales of 3.8+-0.1 mpc
and 21.2+-0.4 mpc, and magnetic field strengths of 0.33 mG and 0.76 mG for
CygX-N03 and CygX-N53, respectively. These magnetic field values have
uncertainties of a factor of a few. Despite a lower signal-to-noise ratio of
the data in CygX-N53 than in CygX-N03, and the caveat that its stronger field
might stem in part from projection effects, the difference in field strengths
suggests different fragmentation activities of the two cores. Even though the
quality of our data, obtained with the IRAM Plateau de Bure Interferometer
(PdBI), is somewhat inferior to previous single-dish data, we demonstrate that
this method is suited also for observations at high spatial resolution.


title:
Measurement and Prediction of Centrical/Peripheral Network Properties
  based on Regression Analysis - A Parametric Foundation for Performance
  Self-Management in WSNs

abstract:
  Predicting performance-related behavior of the underlying network structure
becomes more and more indispensable in terms of the aspired application outcome
quality. However, the reliable forecast of QoS metrics like packet transfer
delay in wireless network systems is still a challenging task. Even though
existing approaches are technically capable of determining such network
properties under certain assumptions, they mostly abstract away from primal
aspects that inherently have an essential impact on temporal network
performance dynamics. Also, they usually require auxiliary resources to be
implemented and deployed along with the actual network components. In the
course of developing a lightweight measurement-based alternative for the
self-inspection and prediction of volatile performance characteristics in
environments of any kind, we selectively investigate the duration of message
delivery and packet loss rate against various parameters peculiar to common
radio network technologies like Wireless Sensor Networks (WSNs). Our hands-on
experiments reveal the relations between the oftentimes underestimated medium
access delay and a variety of main influencing factors including packet size,
backoff period, and number of neighbor nodes contending for the communication
medium. A closed formulation of selected weighted drivers facilitates the
average-case prediction of inter-node packet transfer delays for arbitrary
configurations of given network parameters even on resource-scarce WSN devices.
We validate our prediction method against basic multi-hop networking scenarios.
Yield field test results proof the basic feasibility and high precision of our
approach to network property estimation in virtue of self-governed local
measurements and regression-based calculations paving the way for a prospective
self-management of network properties based upon autonomous distributed
coordination.


title: Is There a Third Component in the Intermediate Polar V405 Aur?

abstract:
  Variability of the spin period of the white dwarf in the V405 Aur (RX
J0558.0+5353) system using our observations and previously published maxima
timings is analyzed. As the phase light curve contains two nearly equal
photometric waves, one maximum was set as a "primary" one. The ephemeris for
the maxima of the "spin variability" (due to rotation of the magnetized white
dwarf) for recent seasons 2010-2012 is Tmax = HJD
2455882.470614(25)+0.00631314602(46)E. This corresponds to a significant
negative trend at the "O-C" diagram. Due to significant gaps in the
observational data and statistical error of timings, there may be some
suggestions on the spin period variability - a fast period "jump" in 2007y;
secular period variations; a cubic ephemeris (which may be interpreted by a
precession of the magnetic white dwarf at a time-scale of decades) or a
periodic change with a period of 6.2 years and semi-amplitude of 17.2\pm1.8
sec. For the present observations, more reliable are two latter models. To
distinguish between them, a continuation of monitoring is needed. The periodic
variations may be interpreted by a light time effect caused by a third body of
mass (M3 > 0.09M\odot), which corresponds to a low-mass star, but not to an
extra-solar planet. In this case, the system belongs to a rare class of
cataclysmic variables with a third body.


title:
A technique for estimation of starburst masses and ages in luminous
  compact galaxies

abstract:
  We propose a technique for estimation of the mass m of the young stellar
population and the starburst age T in luminous compact galaxies (LCGs). For
this purpose we use LCG H{\alpha} emission line luminosities from the Sloan
Digital Sky Survey (SDSS) spectra and Galaxy Evolution Explorer (GALEX) FUV and
NUV continuum luminosities. The method is intended for quick estimation of m
and T in large galaxy samples and does not require spectral energy distribution
(SED) fitting. Estimated m and T for the sample of about 550 LCGs are compared
with the same values derived from the SED fitting in the wavelength range
\lambda\lambda 3800 -- 9200\AA. We obtain the average differences in log m and
T of 0.27 and 0.87 Myr, respectively. This technique could be used for
selection of galaxies with desired ranges of m and T or for reducing a range of
parameter variations in SED fitting.


title:
Spin excitation anisotropy as a probe of orbital ordering in the
  paramagnetic tetragonal phase of superconducting BaFe1.904Ni0.096As2

abstract:
  We use polarized neutron scattering to demonstrate that in-plane spin
excitations in electron doped superconducting BaFe1.904Ni0.096As2 (Tc=19.8 K)
change from isotropic to anisotropic in the tetragonal phase well above the
antiferromagnetic (AF) ordering and tetragonal-to-orthorhombic lattice
distortion temperatures (Tn=Ts=33 K) without an uniaxial pressure. While the
anisotropic spin excitations are not sensitive to the AF order and
tetragonal-to-orthorhombic lattice distortion, superconductivity induces
further anisotropy for spin excitations along the [1,1,0] and [1,-1,0]
directions. These results indicate that the spin excitation anisotropy is a
probe of the electronic anisotropy or orbital ordering in the tetragonal phase
of iron pnictides.


title:
Characterization of the gaseous companion {\kappa} Andromedae b: New
  Keck and LBTI high-contrast observations

abstract:
  We previously reported the direct detection of a low mass companion at a
projected separation of 55+-2 AU around the B9 type star {\kappa} Andromedae.
The properties of the system (mass ratio, separation) make it a benchmark for
the understanding of the formation and evolution of gas giant planets and brown
dwarfs on wide-orbits. We present new angular differential imaging (ADI) images
of the Kappa Andromedae system at 2.146 (Ks), 3.776 (L'), 4.052 (NB 4.05) and
4.78 {\mu}m (M') obtained with Keck/NIRC2 and LBTI/LMIRCam, as well as more
accurate near-infrared photometry of the star with the MIMIR instrument. We
derive a more accurate J = 15.86 +- 0.21, H = 14.95 +- 0.13, Ks = 14.32 +- 0.09
mag for {\kappa} And b. We redetect the companion in all our high contrast
observations. We confirm previous contrasts obtained at Ks and L' band. We
derive NB 4.05 = 13.0 +- 0.2 and M' = 13.3 +- 0.3 mag and estimate
Log10(L/Lsun) = -3.76 +- 0.06. We build the 1-5 microns spectral energy
distribution of the companion and compare it to seven PHOENIX-based atmospheric
models in order to derive Teff = 1900+100-200 K. Models do not set constrains
on the surface gravity. ``Hot-start" evolutionary models predict masses of
14+25-2 MJup based on the luminosity and temperature estimates, and considering
a conservative age range for the system (30+120-10 Myr). ``warm-start"
evolutionary tracks constrain the mass to M >= 11 MJup. Therefore, the mass of
{\kappa} Andromedae b mostly falls in the brown-dwarf regime, due to remaining
uncertainties in age and mass-luminosity models. According to the formation
models, disk instability in a primordial disk could account for the position
and a wide range of plausible masses of {\kappa} And b.


title: On the Nuclear Norm and the Singular Value Decomposition of Tensors

abstract:
  Finding the rank of a tensor is a problem that has many applications.
Unfortunately it is often very difficult to determine the rank of a given
tensor. Inspired by the heuristics of convex relaxation, we consider the
nuclear norm instead of the rank of a tensor. We determine the nuclear norm of
various tensors of interest. Along the way, we also do a systematic study
various measures of orthogonality in tensor product spaces and we give a new
generalization of the Singular Value Decomposition to higher order tensors.


title: Sequential Markov Chain Monte Carlo

abstract:
  We propose a sequential Markov chain Monte Carlo (SMCMC) algorithm to sample
from a sequence of probability distributions, corresponding to posterior
distributions at different times in on-line applications. SMCMC proceeds as in
usual MCMC but with the stationary distribution updated appropriately each time
new data arrive. SMCMC has advantages over sequential Monte Carlo (SMC) in
avoiding particle degeneracy issues. We provide theoretical guarantees for the
marginal convergence of SMCMC under various settings, including parametric and
nonparametric models. The proposed approach is compared to competitors in a
simulation study. We also consider an application to on-line nonparametric
regression.


title: Moderate smoothness of most Alexandrov surfaces

abstract:
  We show that, in the sense of Baire category, most Alexandrov surfaces with
curvature bounded below by $\kappa$ have no conical points. We use this result
to prove that at most points of such surfaces, the lower and the upper Gaussian
curvatures are equal to $\kappa$ and $\infty$ respectively.


title: Dilaton: Saving Conformal Symmetry

abstract:
  The characteristic feature of the spontaneous symmetry breaking is the
presence of the Goldstone mode(s). For the conformal symmetry broken
spontaneously the corresponding Goldstone boson is the dilaton. Coupling an
arbitrary system to the dilaton in a consistent (with quantum corrections) way
has certain difficulties due to the trace anomaly. In this paper we present the
approach allowing for an arbitrary system without the gravitational anomaly to
keep the dilaton massless at all orders in perturbation theory, i.e. to build a
theory with conformal symmetry broken spontaneously.