title:
Correlation Between GC-content and Palindromes in Randomly Generated
  Sequences and Viral Genomes

abstract:
  GC-content, the ratio of guanine and cytosine bases in an entire nucleotide
sequence, and palindromic sequences are unique for every organism due to
genomic evolution. The goals of our research was to establish a correlation
between GC-content and palindromic densities in wild-type viral and
randomly-generated genomes. Forty viral genomes were downloaded from GenBank
and their GC-ratios and palindromic densities were calculated and plotted using
Mathematica. The palindromic densities-by-GC-ratios plot of randomly generated
sequences (palindromic density curve) exhibited a quadratic relationship and
was superimposed over the viral genome plot. It was observed that the viral
plots followed the curvature of the random sequences' quadratic curve,
signifying a directly proportional relationship between GC-content and
palindrome density in viral genomes. However, because viral genomes require
certain non-palindromic sequences to function, the palindromic densities of
most wild-type genomes were under the palindromic density curve. The variance
in palindrome densities of wild-type genomes in respect to the random
sequences' quadratic curve may be examined to determine evolutionary traits in
genomes. A better understanding of viral palindromic densities and GC-ratios
would help in understanding conserved secondary RNA structures in viral genomes
and future drug discovery. In addition, certain viral genomes were found to be
viable recombinant viruses, which are used in gene therapy.


title:
Horizontal-branch morphology and multiple stellar populations in the
  anomalous globular cluster M22

abstract:
  M22 is an anomalous globular cluster that hosts two groups of stars with
different metallicity and s-element abundance. The star-to-star light-element
variations in both groups, with the presence of individual Na-O and C-N
anticorrelations, demonstrates that this Milky-Way satellite has experienced a
complex star-formation history. We have analysed FLAMES/UVES spectra for seven
stars covering a small color interval, on the reddest horizontal-branch (HB)
portion of this cluster and investigated possible relations between the
chemical composition of a star and its location along the HB. Our chemical
abundance analysis takes into account effects introduced by deviations from the
local-thermodynamic equilibrium (NLTE effects), that are significant for the
measured spectral lines in the atmospheric parameters range spanned by our
stars. We find that all the analysed stars are barium-poor and sodium-poor,
thus supporting the idea that the position of a star along the HB is strictly
related to the chemical composition, and that the HB-morphology is influenced
by the presence of different stellar populations.


title: The Budgeted Transportation Problem

abstract:
  Consider a transportation problem with sets of sources and sinks. There are
profits and prices on the edges. The goal is to maximize the profit while
meeting the following constraints; the total flow going out of a source must
not exceed its capacity and the total price of the incoming flow on a sink must
not exceed its budget. This problem is closely related to the generalized flow
problem.
  We propose an auction based primal dual approximation algorithm to solve the
problem. The complexity is $O(\epsilon^{-1}(n^2+ n\log{m})m\log U)$ where $n$
is the number of sources, $m$ is the number of sinks, $U$ is the ratio of the
maximum profit/price to the minimum profit/price.
  We also show how to generalize the scheme to solve a more general version of
the problem, where there are edge capacities and/or the profit function is
concave and piece-wise linear. The complexity of the algorithm depends on the
number of linear segments, termed ${\cal L}$, of the profit function.


title:
A Piggybacking Design Framework for Read-and Download-efficient
  Distributed Storage Codes

abstract:
  We present a new 'piggybacking' framework for designing distributed storage
codes that are efficient in data-read and download required during node-repair.
We illustrate the power of this framework by constructing classes of explicit
codes that entail the smallest data-read and download for repair among all
existing solutions for three important settings: (a) codes meeting the
constraints of being Maximum-Distance-Separable (MDS), high-rate and having a
small number of substripes, arising out of practical considerations for
implementation in data centers, (b) binary MDS codes for all parameters where
binary MDS codes exist, (c) MDS codes with the smallest repair-locality. In
addition, we employ this framework to enable efficient repair of parity nodes
in existing codes that were originally constructed to address the repair of
only the systematic nodes. The basic idea behind our framework is to take
multiple instances of existing codes and add carefully designed functions of
the data of one instance to the other. Typical savings in data-read during
repair is 25% to 50% depending on the choice of the code parameters.


title:
Towards detailed tomography of high energy heavy-ion collisions by
  $\gamma$-jet

abstract:
  Within a multi-phase transport (AMPT) model with string melting scenario, the
transverse momentum imbalance between prompt photon and jet is studied in Pb+Pb
collisions at $\sqrt{s_{_{\rm NN}}}$ = 2.76 TeV. Jet loses more energy in more
central collisions due to strong partonic interactions between jet parton
shower and partonic matter, which is more significant than due to hadronic
interactions only. The hadronization and final-state hadronic interactions have
little influences on the imbalance. The imbalance ratio $x_{j\gamma}$ is
sensitive to both production position and passing direction of $\gamma$-jet,
which provides an opportunity to do detail $\gamma$-jet tomography on the
formed partonic matter by selecting different $x_{j\gamma}$ ranges. It is also
proposed that $\gamma$-hadron azimuthal correlation associated with photon+jet
is a probe to see the medium responses to different $\gamma$-jet production
configurations.


title: Medium Modification of \gamma-jets in High-energy Heavy-ion Collisions

abstract:
  Medium modification of \gamma-tagged jets in high-energy heavy-ion collisions
is investigated within a Linearized Boltzmann Transport model for jet
propagation that includes both elastic parton scattering and induced gluon
emission. Inclusion of recoiled medium partons in the reconstruction of
partonic jets is found to significantly reduce the net jet energy loss.
Experimental data on \gamma-jet asymmetry and survival rate in Pb + Pb
collisions at \sqrt{s}=2.76 TeV can be reproduced. Medium modifications of
reconstructed jet fragmentation function, transverse profile and energy flow
outside the jet-cone are found to be sizable especially for \gamma-tagged jets
with small values of x=p_T^{jet}/p_T^\gamma.


title:
Updates of the nuclear equation of state for core-collapse supernovae
  and neutron Stars: effects of 3-body forces, QCD, and magnetic fields

abstract:
  We summarize several new developments in the nuclear equation of state for
supernova simulations and neutron stars. We discuss an updated and improved
Notre-Dame-Livermore Equation of State (NDL EoS) for use in supernovae
simulations. This Eos contains many updates. Among them are the effects of 3-
body nuclear forces at high densities and the possible transition to a QCD
chiral and/or super-conducting color phase at densities. We also consider the
neutron star equation of state and neutrino transport in the presence of strong
magnetic fields. We study a new quantum hadrodynamic (QHD) equation of state
for neutron stars (with and without hyperons) in the presence of strong
magnetic fields. The parameters are constrained by deduced masses and radii.
The calculated adiabatic index for these magnetized neutron stars exhibit rapid
changes with density. This may provide a mechanism for star-quakes and flares
in magnetars. We also investigate the strong magnetic field effects on the
moments of inertia and spin down of neutron stars. The change of the moment of
inertia associated with emitted magnetic flares is shown to match well with
observed glitches in some magnetars. We also discuss a perturbative calculation
of neutrino scattering and absorption in hot and dense hyperonic neutron-star
matter in the presence of a strong magnetic field. The absorption
cross-sections show a remarkable angular dependence in that the neutrino
absorption strength is reduced in a direction parallel to the magnetic field
and enhanced in the opposite direction. The pulsar kick velocities associated
with this asymmetry comparable to observed pulsar velocities and may affect the
early spin down rate of proto-neutron star magnetars with a toroidal field
configuration.


title: Superparamagnetic Transition and Local Disorder in CuFe2O4 Nanoparticles

abstract:
  We present X-ray diffraction (XRD), M\"ossbauer spectroscopy (MS) and d.c.
magnetization measurements performed on ball-milled CuFe2O4 samples. The
average particle size <d> was found to decrease to the nanometer range after
t=15 min of milling. Room temperature M\"ossbauer data showed that the fraction
of particles above the blocking temperature TB increases with milling time, and
almost complete superparamagnetic samples are obtained for <d> = 7(2) nm.
Magnetization measurements below TB suggest spin canting in milled samples. The
values of saturation moment mu_S reveal that site populations are slightly
affected by milling. M\"ossbauer resonant intensities are accounted for on the
basis of local disorder of Fe3+ environments, and the development of sample
inhomogeneities of CuxFe3-xO4 composition.


title: Global small solutions to 2-D incompressible MHD system

abstract:
  In this paper, we consider the global wellposedness of
  2-D incompressible magneto-hydrodynamical system with small and smooth
initial data. It is a coupled system between the Navier-Stokes equations and a
free transport equation with an universal nonlinear coupling structure. The
main difficulty of the proof lies in exploring the dissipative mechanism of the
system due to the fact that there is a free transport equation in the system.
To achieve this and to avoid the difficulty of propagating anisotropic
regularity for the free transport equation, we first reformulate our system
\eqref{1.1} in the Lagrangian coordinates \eqref{a14}. Then we employ
anisotropic Littlewood-Paley analysis to establish the key {\it a priori}
$L^1(\R^+; Lip(\R^2))$ estimate to the Lagrangian velocity field $Y_t$. With
this estimate, we prove the global wellposedness of \eqref{a14} with smooth and
small initial data by using the energy method. We emphasize that the algebraic
structure of \eqref{a14} is crucial for the proofs to work. The global
wellposedness of the original system \eqref{1.1} then follows by a suitable
change of variables.


title:
Robustness of Link-prediction Algorithm Based on Similarity and
  Application to Biological Networks

abstract:
  Many algorithms have been proposed to predict missing links in a variety of
real networks. These studies focus on mainly both accuracy and efficiency of
these algorithms. However, little attention is paid to their robustness against
either noise or irrationality of a link existing in almost all of real
networks. In this paper, we investigate the robustness of several typical
node-similarity-based algorithms and find that these algorithms are sensitive
to the strength of noise. Moreover, we find that it also depends on networks'
structure properties, especially on network efficiency, clustering coefficient
and average degree. In addition, we make an attempt to enhance the robustness
by using link weighting method to transform un-weighted network to weighted one
and then make use of weights of links to characterize their reliability. The
result shows that proper link weighting scheme can enhance both robustness and
accuracy of these algorithms significantly in biological networks while it
brings little computational effort.


title: On phi-recurrent generalized Sasakian-space-forms

abstract:
  We show that there is no phi-recurrent generalized Sasakian-space-forms, when
is a non-zero constant.


title: Electron spin relaxation in bilayer graphene

abstract:
  Electron spin relaxation due to the D'yakonov-Perel' mechanism is
investigated in bilayer graphene with only the lowest conduction band being
relevant. The spin-orbit coupling is constructed from the symmetry group
analysis with the parameters obtained by fitting to the numerical calculation
according to the latest report by Konschuh {\it et al.} [Phys. Rev. B {\bf 85},
115423 (2012)] from first principles. In contrast to single-layer graphene, the
leading term of the out-of-plane component of the spin-orbit coupling in
bilayer graphene shows a Zeeman-like term with opposite effective magnetic
fields in the two valleys. This Zeeman-like term opens a spin relaxation
channel in the presence of intervalley scattering. It is shown that the
intervalley electron-phonon scattering, which has not been reported in the
previous literature, strongly suppresses the in-plane spin relaxation time at
high temperature whereas the intervalley short-range scattering plays an
important role in the in-plane spin relaxation especially at low temperature. A
marked nonmonotonic dependence of the in-plane spin relaxation time on
temperature with a minimum of several hundred picoseconds is predicted in the
absence of the short-range scatterers. This minimum is comparable to the
experimental data. Moreover, a peak in the electron density dependence of the
in-plane spin relaxation time at low temperature, which is very different from
the one in semiconductors, is predicted. We also find a rapid decrease in the
in-plane spin relaxation time with increasing initial spin polarization at low
temperature, which is opposite to the situation in both semiconductors and
single-layer graphene. ......(The remaining is cut due to the limit of space)


title: Duality between S^2 P^4 and the Double Quintic Symmetroid

abstract:
  We obtain homological properties of the second symmetric product of P^4 and
the double cover of the symmetric determinantal quintic hypersurface in P^{14}
(the double quintic symmetroids), which indicate the homological projective
duality between (suitable noncommutative resolutions of) them. Among other
things, we construct their good desingularizations and also (dual) Lefschetz
collections in the derived categories of the desingularizations. These are
expected to give (dual) Lefschetz decompositions of suitable noncommutative
resolutions. The desingularization of the double quintic symmetroids also
contains its interesting birational geometries.


title: The X-ray Spectrum Of The Black Hole Candidate Swift J1753.5-0127

abstract:
  We present a spectral analysis of the black hole candidate and X-ray
transient source Swift J1753.5 0127 making use of simultaneous observations of
XMM-Newton and Rossi X-ray Timing Explorer (RXTE) in 2006, when the source was
in outburst. The aim of this paper is to test whether a thermal component due
to the accretion disc is present in the X-ray spectrum. We fit the data with a
range of spectral models, and we find that for all of these models the fits to
the X-ray energy spectra significantly require the addition of the disc
black-body component. We also find a broad iron emission line at around 6.5
keV, most likely due to iron in the accretion disc. Our results confirm the
existence of a cool inner disc extending near or close to the innermost
circular orbit (ISCO).We further discovered broad emission lines of NVII and
OVIII at ~ 0.52 keV and 0.65 keV, respectively in the RGS spectrum of Swift
J1753.5-0127.


title:
Double quintic symmetroids, Reye congruences, and their derived
  equivalence

abstract:
  We consider Calabi-Yau threefolds Y defined as smooth linear sections of the
double cover of the quintic symmetric determinantal hypersurface in P^{14}. In
our previous works, we have shown that these Calabi-Yau threefolds Y are
naturally paired with Reye congruence Calabi-Yau threefolds X, and X and Y have
several interesting properties from the view point of mirror symmetry and
projective geometry. In this paper, we prove the derived equivalence between Y
and X.


title: Cosmological dark energy effects from entanglement

abstract:
  The thorny issue of relating information theory to cosmology is here
addressed by assuming a possible connection between quantum entanglement
measures and observable universe. In particular, we propose a cosmological toy
model, where the equation of state of the cosmological fluid, which drives the
today observed cosmic acceleration, can be inferred from quantum entanglement
between different cosmological epochs. In such a way the dynamical dark energy
results as byproduct of quantum entanglement.


title:
FIRE4, LiteRed and accompanying tools to solve integration by parts
  relations

abstract:
  New features of the Mathematica code FIRE are presented. In particular, it
can be applied together with the recently developed code LiteRed by Lee in
order to provide an integration by parts reduction to master integrals for
quite complicated families of Feynman integrals. As as an example, we consider
four-loop massless propagator integrals for which LiteRed provides reduction
rules and FIRE assists to apply these rules. So, as a by-product one obtains a
four-loop variant of the well-known three-loop computer code MINCER. We also
describe various ways to find additional relations between master integrals for
several families of Feynman integrals.


title: Symplectic structures on the tangent bundle of a smooth manifold

abstract:
  We give a method to lift $(2,0)$-tensors fields on a manifold $M$ to build
symplectic forms on $TM$. Conversely, we show that any symplectic form $\Om$ on
$TM$ is symplectomorphic, in a neighborhood of the zero section, to a
symplectic form built naturally from three $(2,0)$-tensor fields associated to
$\Om$.


title:
A graphical analysis of the systematic error of classical binned methods
  in constructing luminosity functions

abstract:
  The classical 1/Va and PC methods of constructing binned luminosity functions
(LFs) are revisited and compared by graphical analysis. Using both theoretical
analysis and illustration with an example, we show why the two methods give
different results for the bins which are crossed by the flux limit curves
$L=L_{lim}(z)$. Based on a combined sample simulated by a Monte Carlo method,
the estimate $\phi$ of two methods are compared with the input model LFs. The
two methods give identical and ideal estimate for the high luminosity points of
each redshift interval. However, for the low luminosity bins of all the
redshift intervals both methods give smaller estimate than the input model. We
conclude that once the LF is evolving with redshift, the classical binned
methods will unlikely give an ideal estimate over the total luminosity range.
Page & Carrera (2000) noticed that for objects close to the flux limit
$\phi_{1/V_{a}}$ nearly always to be too small. We believe this is due to the
arbitrary choosing of redshift and luminosity intervals. Because
$\phi_{1/V_{a}}$ is more sensitive to how the binning are chosen than
$\phi_{PC}$. We suggest a new binning method, which can improve the LFs
produced by the 1/Va method significantly, and also improve the LFs produced by
the PC methods. Our simulations show that after adopting this new binning, both
the 1/Va and PC methods have comparable results.


title:
Quantum quasi-shuffle algebras II. Explicit formulas, dualization, and
  representations

abstract:
  Using the concept of mixable shuffles, we formulate explicitly the quantum
quasi-shuffle product, as well as the subalgebra generated by primitive
elements of the quantum quasi-shuffle bialgebra. We construct a braided
coalgebra structure which is dual to the quantum quasi-shuffle algebra. We
provide representations of quantum quasi-shuffle algebras on commutative
braided Rota-Baxter algebras. As an application, we establish a formal power
series whose terms come from a special representation of some kind of
quasi-shuffle algebra and whose evaluation at 1 is the multiple $q$-zeta
values.


title: Characterization of Minimum Cycle Basis in Weighted Partial 2-trees

abstract:
  For a weighted outerplanar graph, the set of lex short cycles is known to be
a minimum cycle basis [Inf. Process. Lett. 110 (2010) 970-974 ]. In this work,
we show that the set of lex short cycles is a minimum cycle basis in weighted
partial 2-trees (graphs of treewidth two) which is a superclass of outerplanar
graphs.


title:
Asymptotic behavior of the Whittle estimator for the increments of a
  Rosenblatt process

abstract:
  The purpose of this paper is to estimate the self-similarity index of the
Rosenblatt process by using the Whittle estimator. Via chaos expansion into
multiple stochastic integrals, we establish a non-central limit theorem
satisfied by this estimator. We illustrate our results by numerical
simulations.


title:
Effect of anisotropic band curvature on carrier multiplication in
  graphene

abstract:
  We study relaxation of an excited electron in the conduction band of
intrinsic graphene at zero temperature due to production of interband
electron-hole pairs. The electronic band curvature, being anisotropic because
of trigonal warping, is shown to suppress relaxation for a range of directions
of the initial electron momentum. For other directions, relaxation is allowed
only if the curvature exceeds a finite critical value; otherwise, a
non-decaying quasiparticle state is found to exist.


title: Natural statistics for spectral samples

abstract:
  Spectral sampling is associated with the group of unitary transformations
acting on matrices in much the same way that simple random sampling is
associated with the symmetric group acting on vectors. This parallel extends to
symmetric functions, k-statistics and polykays. We construct spectral
k-statistics as unbiased estimators of cumulants of trace powers of a suitable
random matrix. Moreover we define normalized spectral polykays in such a way
that when the sampling is from an infinite population they return products of
free cumulants.


title:
Measurement of Ultra-High Energy Cosmic Rays: An Experimental Summary
  and Prospects

abstract:
  Measurements of Ultra-High Energy Cosmic Rays achieved remarkable progress in
the last 10 years. Physicists, gathered from around the world in the symposium
UHECR-2012 held at CERN on February 13-16 2012, reported their most up-to-date
observations, discussed the meaning of their findings, and identified remaining
problems and future challenges in this field. This paper is a part of the
symposium proceedings on the experimental summary and future prospects of the
UHECR study.


title: Four Side Distance: A New Fourier Shape Signature

abstract:
  Shape is one of the main features in content based image retrieval (CBIR).
This paper proposes a new shape signature. In this technique, features of each
shape are extracted based on four sides of the rectangle that covers the shape.
The proposed technique is Fourier based and it is invariant to translation,
scaling and rotation. The retrieval performance between some commonly used
Fourier based signatures and the proposed four sides distance (FSD) signature
has been tested using MPEG-7 database. Experimental results are shown that the
FSD signature has better performance compared with those signatures.


title: Decoherence induced by magnetic impurities in quantum Hall system

abstract:
  Scattering by magnetic impurities is known to destroy coherence of electron
motion in metals and semiconductors. We investigate the decoherence introduced
in a single act of electron scattering by a magnetic impurity in a quantum Hall
system. To this end we introduce a fictitious nonunitary scattering matrix
$\mathcal{S}$ for electrons that reproduces the exactly calculated scattering
probabilities. The strength of decoherence is identified by the deviation of
eigenvalues of the product $\mathcal{S}\mathcal{S}^{\dagger}$ from unity. Using
the fictitious scattering matrix, we estimate the width of the metallic region
at the quantum Hall effect inter-plateau transition and its dependence on the
exchange coupling strength and the degree of polarization of magnetic
impurities.


title: Ball-preserving mappings of finite ultrametric spaces

abstract:
  It is shown that the rooted trees $T_X$ and $T_Y$ representing finite
ultrametric spaces $X$ and $Y$ are isomorphic if and only if there exists a
ball-preserving bijection $F:X\to Y$.


title: Phase diagram for a single flexible Stockmayer polymer at zero field

abstract:
  The equilibrium conformations of a flexible permanent magnetic chain that
consists of a sequence of linked magnetic colloidal nanoparticles with
short-ranged Lennard-Jones attractive interactions (Stockmayer polymer) are
thoroughly analysed via Langevin dynamics simulations. A tentative phase
diagram is presented for a chain of length $N=100$. The phase diagram exhibits
several unusual conformational phases when compared with the non-magnetic
chains. These phases are characterised by a large degree of conformational
anisotropy, and consist of closed chains, helicoidal-like states, partially
collapsed states, and very compact disordered states. The phase diagram
contains several interesting features like the existence of at least two
'triple points'.


title: Towards Randomized Testing of $q$-Monomials in Multivariate Polynomials

abstract:
  Given any fixed integer $q\ge 2$, a $q$-monomial is of the format
$\displaystyle x^{s_1}_{i_1}x^{s_2}_{i_2}...x_{i_t}^{s_t}$ such that $1\le s_j
\le q-1$, $1\le j \le t$. $q$-monomials are natural generalizations of
multilinear monomials. Recent research on testing multilinear monomials and
$q$-monomails for prime $q$ in multivariate polynomials relies on the property
that $Z_q$ is a field when $q\ge 2 $ is prime. When $q>2$ is not prime, it
remains open whether the problem of testing $q$-monomials can be solved in some
compatible complexity. In this paper, we present a randomized $O^*(7.15^k)$
algorithm for testing $q$-monomials of degree $k$ that are found in a
multivariate polynomial that is represented by a tree-like circuit with a
polynomial size, thus giving a positive, affirming answer to the above
question. Our algorithm works regardless of the primality of $q$ and improves
upon the time complexity of the previously known algorithm for testing
$q$-monomials for prime $q>7$.


title: SuperB and BelleII prospects on direct CP violation measurements

abstract:
  In this paper, we focused on the recent progress of $\gamma/\phi_{3}$ from
$B\rightarrow DK$, DCPV effects in charmless hadronic $B_{(S)}$ decays and the
prospects of SuperB and BelleII experiments.


title:
Distributed model predictive control of leader-follower systems using an
  interior point method with efficient computations

abstract:
  Standard model predictive control strategies imply the online computation of
control inputs at each sampling instance, which traditionally limits this type
of control scheme to systems with slow dynamics. This paper focuses on
distributed model predictive control for large-scale systems comprised of
interacting linear subsystems, where the online computations required for the
control input can be distributed amongst them. A model predictive controller
based on a distributed interior point method is derived, for which every
subsystem in the network can compute stabilizing control inputs using
distributed computations. We introduce local terminal sets and cost functions,
which together satisfy distributed invariance conditions for the whole system,
that guarantees stability of the closed-loop interconnected system. We show
that the synthesis of both terminal sets and terminal cost functions can be
done in a distributed framework.


title:
Effective lattice Hamiltonian for monolayer MoS2 : Tailoring electronic
  structure with perpendicular electric and magnetic fields

abstract:
  We propose an effective lattice Hamiltonian for monolayer MoS$_2$ in order to
describe the low-energy band structure and investigate the effect of
perpendicular electric and magnetic fields on its electronic structure. We
derive a tight-binding model based on the hybridization of the $d$ orbitals of
molybdenum and $p$ orbitals of sulfur atoms and then introduce a modified
two-band continuum model of monolayer MoS$_2$ by exploiting the
quasi-degenerate partitioning method. Our theory proves that the low-energy
excitations of the system are no longer massive Dirac fermions. It reveals a
difference between electron and hole masses and provides trigonal warping
effects. Furthermore, we predict a valley degeneracy breaking effect in the
Landau levels. Besides, we also show that applying a gate voltage perpendicular
to the monolayer modifies the electronic structure including the band gap and
effective masses.


title: An equality between entanglement and uncertainty

abstract:
  Heisenberg's uncertainty principle implies that if one party (Alice) prepares
a system and randomly measures one of two incompatible observables, then
another party (Bob) cannot perfectly predict the measurement outcomes. This
implication assumes that Bob does not possess an additional system that is
entangled to the measured one; indeed the seminal paper of Einstein, Podolsky
and Rosen (EPR) showed that maximal entanglement allows Bob to perfectly win
this guessing game. Although not in contradiction, the observations made by EPR
and Heisenberg illustrate two extreme cases of the interplay between
entanglement and uncertainty. On the one hand, no entanglement means that Bob's
predictions must display some uncertainty. Yet on the other hand, maximal
entanglement means that there is no more uncertainty at all. Here we follow an
operational approach and give an exact relation - an equality - between the
amount of uncertainty as measured by the guessing probability, and the amount
of entanglement as measured by the recoverable entanglement fidelity. From this
equality we deduce a simple criterion for witnessing bipartite entanglement and
a novel entanglement monogamy equality.


title:
Heterogeneous Dynamic Priority Scheduling in time critical applications:
  Mobile Wireless Sensor Networks

abstract:
  In the unlicensed band, the notion of primary user and secondary user (To
implement cognitive radio) is not explicit. By dynamic priority assignment we
propose to implement cognitive radio in the unlicensed band. In time critical
events, the data which is most important, has to be given the time slots.
Wireless Sensor nodes in our case are considered to be mobile, and hence make
it difficult to prioritize one over another. A node may be out of the reach of
the cluster head or base station by the time it is allotted a time slot and
hence mobility is a constraint. With the data changing dynamically and factors
such as energy and mobility, which are major constraints, assigning priority to
the nodes becomes difficult. In this paper, we have discussed about how
Wireless Sensor Networks are able to allocate priorities to nodes in the
unlicensed band with multiple parameters being posed. We have done simulations
on NS-2 and have shown the implementation results.


title: Dynamics of large cooperative pulsed-coupled networks

abstract:
  We study the deterministic dynamics of networks N composed by m non
identical, mutually pulse-coupled cells. We assume weighted, asymmetric and
positive (cooperative) interactions among the cells, and arbitrarily large
values of m. We consider two cases of the network's graph: the complete graph,
and the existence of a large core (i.e. a large complete subgraph). First, we
prove that the system periodically eventually synchronizes with a natural
"spiking period" \ p >=1, and that if the cells are mutually structurally
identical or similar, then the synchronization is complete (p= 1) . Second, we
prove that the amount of information H that N generates or processes equals log
p. Therefore, if N completely synchronizes, the information is null. Finally,
we prove that N protects the cells from their risk of death.


title: Thermal structure of coronal loops as seen with Norikura coronagraph

abstract:
  The thermal structure of a coronal loop, both along and across the loop, is
vital in determining the exact plasma heating mechanism. High resolution
spectroscopic observations of the off-limb corona were made using 25 cm
Norikura coronagraph, located at Norikura, Japan. Observations on a number of
days, were made simultaneously in four forbidden iron emission lines namely,
[Fe XI] 7892 \AA\ line, [Fe XIII] 10747 \AA & 10798 \AA\ lines and [Fe XIV]
5303 \AA\ line and on some days made only in [Fe XI] 7892 \AA\ and [Fe X] 6374
\AA\ lines. Using the temperature sensitive emission line ratios [Fe XIV] 5303
\AA/[Fe XIII] 10747 \AA, and [Fe XI] 7892 \AA/[Fe X] 6374 \AA\ we compute the
electron temperatures along 18 different loop structures observed on different
days. We find a significant negative temperature gradient in all the structures
observed in Fe XIV and Fe XIII and a positive temperature gradient in the
structures observed in Fe XI and Fe X. Combining these results with the
previous investigations by Singh and his collaborators, we infer that the loop
tops, in general, appear hotter when observed in colder lines and colder when
observed in relatively hotter lines as compared to their coronal foot points.
We suggest that this contrasting trend observed in the temperature variation
along the loop structures can be explained by a gradual interaction of
different temperature plasma. The exact mechanism responsible for this
interaction needs further quest and has potential to constrain loop heating
models.


title: Achieving AWGN Channel Capacity With Lattice Gaussian Coding

abstract:
  We propose a new coding scheme using only one lattice that achieves the
$\frac{1}{2}\log(1+\SNR)$ capacity of the additive white Gaussian noise (AWGN)
channel with lattice decoding, when the signal-to-noise ratio $\SNR>e-1$. The
scheme applies a discrete Gaussian distribution over an AWGN-good lattice, but
otherwise does not require a shaping lattice or dither. Thus, it significantly
simplifies the default lattice coding scheme of Erez and Zamir which involves a
quantization-good lattice as well as an AWGN-good lattice. Using the flatness
factor, we show that the error probability of the proposed scheme under minimum
mean-square error (MMSE) lattice decoding is almost the same as that of Erez
and Zamir, for any rate up to the AWGN channel capacity. We introduce the
notion of good constellations, which carry almost the same mutual information
as that of continuous Gaussian inputs. We also address the implementation of
Gaussian shaping for the proposed lattice Gaussian coding scheme.


title: Dirac equation for strings

abstract:
  Starting with a Nambu-Goto action, a Dirac-like equation can be constructed
by taking the square-root of the momentum constraint. The eigenvalues of the
resulting Hamiltonian are real and correspond to masses of the excited string.
In particular there are no tachyons. A special case of radial oscillations of a
closed string in Minkowski space-time admits exact solutions in terms of wave
functions of the harmonic oscillator.


title:
Electron spin resonance in a dilute magnon gas as a probe of magnon
  scattering resonances

abstract:
  We study the electron spin resonance in a dilute magnon gas that is realized
in a ferromagnetic spin system at low temperature. A quantum cluster expansion
is developed to show that the frequency shift of the single-magnon peak changes
its sign and the linewidth reaches its maximum across a scattering resonance
between magnons. Such characteristic behaviors are universal and can be used to
experimentally locate the two-magnon resonance when an external parameter such
as pressure is varied. Future achievement of the two-magnon resonance may have
an impact comparable to the Feshbach resonance in ultracold atoms and will open
up a rich variety of strongly correlated physics such as the recently proposed
Efimov effect in quantum magnets. We also suggest how the emergence of an
Efimov state of three magnons and its binding energy may be observed with the
electron spin resonance.


title:
Studying complex tourism systems: a novel approach based on networks
  derived from a time series

abstract:
  A tourism destination is a complex dynamic system. As such it requires
specific methods and tools to be analyzed and understood in order to better
tailor governance and policy measures for steering the destination along an
evolutionary growth path. Many proposals have been put forward for the
investigation of complex systems and some have been successfully applied to
tourism destinations. This paper uses a recent suggestion, that of transforming
a time series into a network and analyzes it with the objective of uncovering
the structural and dynamic features of a tourism destination. The algorithm,
called visibility graph, is simple and its implementation straightforward, yet
it is able to provide a number of interesting insights. An example is worked
out using data from two destinations: Italy as a country and the island of
Elba, one of its most known areas.


title: Polar Lattices: Where Ar{\i}kan Meets Forney

abstract:
  In this paper, we propose the explicit construction of a new class of
lattices based on polar codes, which are provably good for the additive white
Gaussian noise (AWGN) channel. We follow the multilevel construction of Forney
\textit{et al.} (i.e., Construction D), where the code on each level is a
capacity-achieving polar code for that level. The proposed polar lattices are
efficiently decodable by using multistage decoding. Computable performance
bounds are derived to measure the gap to the generalized capacity at given
error probability. A design example is presented to demonstrate the performance
of polar lattices.


title:
He II recombination lines as a test of the nature of SN Ia progenitors
  in elliptical galaxies

abstract:
  To date, the question of which progenitor channel can reproduce the observed
rate of Type Ia supernovae (SNe Ia) remains unresolved, with the single and
double degenerate scenarios remaining the leading contenders. The former
implies a large population of hot accreting white dwarfs with photospheric
temperatures of T ~ 10^5-10^6 K during some part of their accretion history. We
show that in early-type galaxies, a population of accreting white dwarfs large
enough to reproduce the SN Ia rate would contribute significantly to the
ionizing UV radiation expected from the stellar population. For mean stellar
ages < ~5 Gyr, single degenerate progenitors would dominate the ionizing
background produced by stars, increasing the continuum beyond the He
II-ionizing limit more than ten-fold. This opens a new avenue for constraining
the progenitors of SNe Ia, through consideration of the spatially extended
low-ionization emission-line regions now found in many early-type galaxies.
Modelling the expected emission, we show that one can constrain the
contribution of the single degenerate channel to the SN Ia rate in E/S0
galaxies from upper limits on the luminosity of He II recombination lines in
the optical and FUV. We discuss future directions, as well as possible
implications for the evolution of SNe Ia in old stellar populations.


title:
The non-symmetric ion-atom radiative processes in the stellar
  atmospheres

abstract:
  The aim of this research is to show that the processes of absorption
charge-exchange and photo-association in $A+B^{+}$ collisions together with the
processes of $AB^{+}$ photo-dissociation in the case of strongly non-symmetric
ion-atom systems, significantly influence the opacity of stellar atmospheres in
ultraviolet (UV) and extreme UV (EUV) region. In this work, the significance of
such processes for solar atmosphere is studied. In the case of the solar
atmosphere the absorption processes with $A=$ H and $B=$ Mg and Si are treated
as dominant ones, but the cases $A=$ H and $B=$ Al and $A=$ He and $B=$ H are
also taken into consideration. The choice of just these species is caused by
the fact that, of the species relevant for the used solar-atmosphere model, it
was only for them that we could determine the necessary characteristics of the
corresponding molecular ions, i.e. the molecular potential curves and dipole
matrix elements. It is shown that the efficiency of the examined non-symmetric
processes within the rather wide corresponding quasi-molecular absorption bands
in the far-UV and EUV regions is comparable and sometimes even greater than the
intensity of the known symmetric ion-atom absorption processes, which are
included now in the models of the solar atmosphere. Consequently, the presented
results suggest that the non-symmetric ion-atom absorption processes also have
to be included \emph{ab initio} in the corresponding models of the stellar
atmospheres.


title: A Stochastic Probing Problem with Applications

abstract:
  We study a general stochastic probing problem defined on a universe V, where
each element e in V is "active" independently with probability p_e. Elements
have weights {w_e} and the goal is to maximize the weight of a chosen subset S
of active elements. However, we are given only the p_e values-- to determine
whether or not an element e is active, our algorithm must probe e. If element e
is probed and happens to be active, then e must irrevocably be added to the
chosen set S; if e is not active then it is not included in S. Moreover, the
following conditions must hold in every random instantiation: (1) the set Q of
probed elements satisfy an "outer" packing constraint, and (2) the set S of
chosen elements satisfy an "inner" packing constraint.
  The kinds of packing constraints we consider are intersections of matroids
and knapsacks. Our results provide a simple and unified view of results in
stochastic matching and Bayesian mechanism design, and can also handle more
general constraints. As an application, we obtain the first polynomial-time
$\Omega(1/k)$-approximate "Sequential Posted Price Mechanism" under k-matroid
intersection feasibility constraints.


title: A Multi-Scale Spatial Model for RSS-based Device-Free Localization

abstract:
  RSS-based device-free localization (DFL) monitors changes in the received
signal strength (RSS) measured by a network of static wireless nodes to locate
people without requiring them to carry or wear any electronic device. Current
models assume that the spatial impact area, i.e., the area in which a person
affects a link's RSS, has constant size. This paper shows that the spatial
impact area varies considerably for each link. Data from extensive experiments
are used to derive a multi-scale spatial weight model that is a function of the
fade level, i.e., the difference between the predicted and measured RSS, and of
the direction of RSS change. In addition, a measurement model is proposed which
gives a probability of a person locating inside the derived spatial model for
each given RSS measurement. A real-time radio tomographic imaging system is
described which uses channel diversity and the presented models. Experiments in
an open indoor environment, in a typical one-bedroom apartment and in a
through-wall scenario are conducted to determine the accuracy of the system. We
demonstrate that the new system is capable of localizing and tracking a person
with high accuracy (<0.30 m) in all the environments, without the need to
change the model parameters.


title: Abstract commensurators of lattices in Lie groups

abstract:
  Let Gamma be a lattice in a simply-connected solvable Lie group. We construct
a Q-defined algebraic group A such that the abstract commensurator of Gamma is
isomorphic to A(Q) and Aut(Gamma) is commensurable with A(Z). Our proof uses
the algebraic hull construction, due to Mostow, to define an algebraic group H
so that commensurations of Gamma extend to Q-defined automorphisms of H. We
prove an analogous result for lattices in connected linear Lie groups whose
semisimple quotient satisfies superrigidity.


title:
Manifesting pseudo-spin polarization on the edge of graphene via field
  emission image

abstract:
  We obtain the wave function of field emission from graphene in magnetic
field. The emission image reveals structure of the Landau levels and depends on
the phase difference between two sub-lattices. The emission pattern is
sensitive to the edge potential shift, so a gate voltage can manipulate that.


title: Modeling of interstitial branching of axonal networks

abstract:
  A single axon can generate branches connecting with plenty synaptic targets.
Process of branching is very important for making connections in central
nervous system. The interstitial branching along primary axon shaft occurs
during nervous system development. Growing axon makes pause in its movement and
leaves active points behind its terminal. The new branches appear from these
points. We suggest mathematical model to describe and investigate neural
network branching process. The model under consideration describes neural
network growth in which the concentration of axon guidance molecules manages
axon's growth. We model the interstitial branching from axon shaft. Numerical
simulations show that in the model framework axonal networks are similar to
neural network.


title: Radiative M1 transitions of heavy baryons in the bag model

abstract:
  We study the M1 transitions of ground state heavy baryons within a framework
of the modified bag model. Calculations of transition moments and corresponding
M1 decay widths are performed. For the spin 1/2 baryons containing three
differently flavoured quarks the hyperfine mixing effects are taken into
account. Results are compared with estimates obtained using various other
approaches.


abstract:
  In this paper, we study the Cohen-Macaulayness of non-affine normal
semigroups in $\mathbb{Z}^n$. We do this by establishing the following four
statements each of independent interest: 1) a Lazard type result on
$I$-supported elements of $\prod_{\mathbb{N}}\mathbb{Q}_{\geq0}$ for an index
set $I\subset\mathbb{N}$; 2) a criterion of regularity of sequences of elements
of the ring via projective dimension; 3) a direct limit of polynomial rings
with toric maps; 4) any direct summand of rings of the third item is
Cohen-Macaulay. To illustrate the idea, we give many examples.


title:
$C^*$--algebras arising from group actions on the boundary of a triangle
  building

abstract:
  A subgroup of an amenable group is amenable. The $C^*$-algebra version of
this fact is false. This was first proved by M.-D. Choi who proved that the
non-nuclear $C^*$-algebra $C^*_r(\ZZ_2*\ZZ_3)$ is a subalgebra of the nuclear
Cuntz algebra ${\cal O}_2$. A. Connes provided another example, based on a
crossed product construction. More recently J. Spielberg [23] showed that these
examples were essentially the same. In fact he proved that certain of the
$C^*$-algebras studied by J. Cuntz and W. Krieger [10] can be constructed
naturally as crossed product algebras. For example if the group $\Gamma$ acts
simply transitively on a homogeneous tree of finite degree with boundary
$\Omega$ then $\cross$ is a Cuntz-Krieger algebra. Such trees may be regarded
as affine buildings of type $\widetilde A_1$. The present paper is devoted to
the study of the analogous situation where a group $\G$ acts simply
transitively on the vertices of an affine building of type $\widetilde A_2$
with boundary $\O$. The corresponding crossed product algebra $\cross$ is then
generated by two Cuntz-Krieger algebras. Moreover we show that $\cross$ is
simple and nuclear. This is a consequence of the facts that the action of $\G$
on $\O$ is minimal, topologically free, and amenable.


title: Two oscillators in a common heat bath

abstract:
  We show that the case of two oscillators in a common heat bath cannot be
reduced to an effective one body problem. In addition, there is an interaction
between the oscillators, even at zero temperature, due to the fluctuations
caused in both oscillators by the zero-point oscillations of the
electromagnetic field.


title: Factors from trees

abstract:
  We construct factors of type $\tn$ for $n\in\NN, n\geq 2$ from group actions
on homogeneous trees and their boundaries. Our result is a discrete analogue of
a result of R.J Spatzier, where the hyperfinite factor of type $\tone$ is
constructed from a group action on the boundary of the universal cover of a
manifold.


title:
Improved Sobolev embeddings, profile decomposition, and
  concentration-compactness for fractional Sobolev spaces

abstract:
  We obtain an improved Sobolev inequality in H^s spaces involving Morrey
norms. This refinement yields a direct proof of the existence of optimizers and
the compactness up to symmetry of optimizing sequences for the usual Sobolev
embedding. More generally, it allows to derive an alternative, more transparent
proof of the profile decomposition in H^s obtained in [P. Gerard, ESAIM 1998]
using the abstract approach of dislocation spaces developed in [K. Tintarev &
K. H. Fieseler, Imperial College Press 2007]. We also analyze directly the
local defect of compactness of the Sobolev embedding in terms of measures in
the spirit of [P. L. Lions, Rev. Mat. Iberoamericana 1985]. As a model
application, we study the asymptotic limit of a family of subcritical problems,
obtaining concentration results for the corresponding optimizers which are well
known when s is an integer ([O. Rey, Manuscripta math. 1989; Z.-C. Han, Ann.
Inst. H. Poincare Anal. Non Lineaire 1991], [K. S. Chou & D. Geng, Differential
Integral Equations 2000]).


title:
Lift and down-gradient shear-induced diffusion in Red Blood Cell
  suspensions

abstract:
  The distribution of Red Blood Cells in a confined channel flow is
inhomogeneous and shows a marked depletion near the walls due to a competition
between migration away from the walls and shear-induced diffusion resulting
from interactions between particles. We investigated the lift of RBCs in a
shear flow near a wall and measured a significant lift velocity despite the
tumbling motion of cells. We also provide values for the collective and
anisotropic shear-induced diffusion of a cloud of RBCs, both in the direction
of shear and in the direction of vorticity. A generic down-gradient
subdiffusion characterized by an exponent 1/3 is highlighted.


title: Atom Loss Resonances in a Bose-Einstein Condensate

abstract:
  Atom loss resonances in ultracold trapped atoms have been observed at
scattering lengths near atom-dimer resonances, at which Efimov trimers cross
the atom-dimer threshold, and near two-dimer resonances, at which universal
tetramers cross the dimer-dimer threshold. We propose a new mechanism for these
loss resonances in a Bose-Einstein condensate of atoms. As the scattering
length is ramped to the large final value at which the atom loss rate is
measured, the time-dependent scattering length generates a small condensate of
shallow dimers coherently from the atom condensate. The coexisting atom and
dimer condensates can be described by a low-energy effective field theory with
universal coefficients that are determined by matching exact results from
few-body physics. The classical field equations for the atom and dimer
condensates predict narrow enhancements in the atom loss rate near atom-dimer
resonances and near two-dimer resonances due to inelastic dimer collisions.


title:
Maximal abelian subalgebras of the group factor of an $\widetilde A_2$
  group

abstract:
  An $\widetilde A_2$ group $\Gamma$ acts simply transitively on the vertices
of an affine building $\triangle$. We study certain subgroups $\Gamma_0 \cong
{\Bbb Z}^2$ which act on certain apartments of $\triangle$. If one of these
subgroups acts simply transitively on an apartment, then the corresponding
subalgebra of the group von Neumann algebra is maximal abelian and singular.
Moreover the Puk\'anszky invariant contains a type $I_{\infty}$ summand.


title: Photonic microwave generation with high-power photodiodes

abstract:
  We utilize and characterize high-power, high-linearity modified uni-traveling
carrier (MUTC) photodiodes for low-phase-noise photonic microwave generation
based on optical frequency division. When illuminated with picosecond pulses
from a repetition-rate-multiplied gigahertz Ti:sapphire modelocked laser, the
photodiodes can achieve 10 GHz signal power of +14 dBm. Using these diodes, a
10 GHz microwave tone is generated with less than 500 attoseconds absolute
integrated timing jitter (1 Hz-10 MHz) and a phase noise floor of -177 dBc/Hz.
We also characterize the electrical response, amplitude-to-phase conversion,
saturation and residual noise of the MUTC photodiodes.


title:
On the distribution of zeros of the derivative of Selberg's zeta
  function associated to finite volume Riemann surfaces

abstract:
  W. Luo has investigated the distribution of zeros of the derivative of the
Selberg zeta function associated to compact hyperbolic Riemann surfaces. In
essence, the main results in Luo's article involve the following three points:
Finiteness for the number of zeros in the half plane to the left of the
critical line; an asymptotic expansion for the counting function measuring the
vertical distribution of zeros; and an asymptotic expansion for the counting
function measuring the horizontal distance of zeros from the critical line. In
the present article, we study the more complicated setting of distribution of
zeros of the derivative of the Selberg zeta function associated to a
non-compact, finite volume hyperbolic Riemann surface. There are numerous
difficulties which exist in the non-compact case that are not present in the
compact setting, beginning with the fact that in the non-compact case the
Selberg zeta function does not satisfy the analogue of the Riemann hypothesis.
To be more specific, we actually study the zeros of the derivative of ZH, where
Z is the Selberg zeta function and H is the Dirichlet series component of the
scattering matrix, both associated to an arbitrary finite-volume hyperbolic
Riemann surface. Our main results address finiteness of zeros in the half plane
to the left of the critical line, an asymptotic count for the vertical
distribution of zeros, and an asymptotic count for the horizontal distance of
zeros.


title:
Performance Evaluation of Delay Tolerant Network in Heterogeneous Highly
  Dense Mobile Environment

abstract:
  Delay tolerant network (DTN) is opportunistic network where each node
searches best opportunity to deliver the message called bundle to the
destination. DTN implements a store and forward message switching system by
simply introducing another new protocol layer called the Bundle Layer on top of
the transport layer. The bundle layer is responsible for storing and forwarding
entire message in message segments called bundles between source node and
destination node. This paper evaluates the performance of delay tolerant
network layer in heterogeneous highly dense mobile node environment. The
heterogeneous network is created with the help of stationary wired node and
Base Station node by introducing dynamic dense Mobile node network. Mobile
nodes are assigned with continuous mobility. Three parameters are suggested
$\Delta$, $\Theta$ and $\lambda$ to correlate the results obtained using
rigorous simulation. Results show that after some threshold values, dense
feature about mobile node does not pretend the delay cause for delay tolerant
network packets. Also, increase in number of mobile node and number of File
Transfer connection rarely change the overall performance of the delay tolerant
network.


title:
Renormalized powers of Ornstein-Uhlenbeck processes and well-posedness
  of stochastic Ginzburg-Landau equations

abstract:
  This article analyzes well-definedness and regularity of renormalized powers
of Ornstein-Uhlenbeck processes and uses this analysis to establish local
existence, uniqueness and regularity of strong solutions of stochastic
Ginzburg-Landau equations with polynomial nonlinearities in two space
dimensions and with quadratic nonlinearities in three space dimensions.


title:
A failed filament eruption inside a coronal mass ejection in active
  region 11121

abstract:
  We study the formation and evolution of a failed filament eruption observed
in NOAA active region 11121 near the southeast limb on November 6, 2010. We use
a time series of SDO/AIA 304, 171, 131, 193, 335, 94 {\AA} images, SDO/HMI
magnetograms, plus ROSA and ISOON H\alpha images, to study the erupting active
region. We identify coronal loop arcades associated with a quadrupolar magnetic
configuration, and show that the expansion and cancelation of the central loop
arcade system over the filament is followed by the eruption of the filament.
The erupting filament reveals a clear helical twist and develops a same sign of
writhe in the form of inverse \gamma-shape. The observations support the
"magnetic breakout" process with the eruption been triggered by quadrupolar
reconnection in the corona. We suggest that the formation mechanism of the
inverse \gamma-shape flux rope may be the MHD helical kink instability. The
eruption has failed due to the large-scale, closed, overlying magnetic loop
arcade that encloses the active region.


title: Some physical and chemical indices of clique-inserted-lattices

abstract:
  The operation of replacing every vertex of an $r$-regular lattice $H$ by a
complete graph of order $r$ is called clique-inserting, and the resulting
lattice is called the clique-inserted-lattice of $H$. For any given $r$-regular
lattice, applying this operation iteratively, an infinite family of $r$-regular
lattices is generated. Some interesting lattices including the 3-12-12 lattice
can be constructed this way. In this paper, we reveal the relationship between
the energy and resistance distance of an $r$-regular lattice and that of its
clique-inserted-lattice. As an application, the asymptotic energy per vertex
and average resistance distance of the 3-12-12 and 3-6-24 lattices are
computed. We also give formulae expressing the numbers of spanning trees and
dimers of the $k$-th iterated clique-inserted lattices in terms of that of the
original lattice. Moreover, we show that new families of expander graphs can be
constructed from the known ones by clique-inserting.


title:
Mapping trapped atomic gas with spin-orbit coupling to quantum Rabi-like
  model

abstract:
  We construct a connection of the ultracold atomic system in a harmonic trap
with Raman-induced spin-orbit coupling to the quantum Rabi-like model. By
mapping the trapped atomic system to a Rabi-like model, we can get the exact
solution of the Rabi-like model following the methods to solve the quantum Rabi
model. The existence of such a mapping implies that we can study the basic
model in quantum optics by using trapped atomic gases with spin-orbit coupling.


title:
On a possible compensation of the QCD vacuum contribution to the Dark
  Energy

abstract:
  We suggest one of the possible ways to compensate the large negative
quantum-topological QCD contribution to the vacuum energy density of the
Universe by means of a positive constant contribution from a cosmological
Yang-Mills field. An important role of the exact particular solution for the
Yang-Mills field corresponding to the finite-time instantons is discussed. An
interesting connection of the compensation mechanism to the color confinement
in the framework of instanton models has been pointed out. Besides the
$\Lambda_{\rm QCD}$ scale, this proposal relies on one yet free dimensionless
normalisation constant which cannot be fixed by the perturbative QCD theory,
and thus should be fine-tuned for the exact compensation to hold.


title: Complex Classical Fields and Partial Wick Rotations

abstract:
  We study some examples of complex, classical, scalar fields within the new
framework that we introduced in a previous work. In these particular examples,
we replace the usual functional integral by a complex functional arising from
partial Wick rotation of a quantum field. We generalize the Feynman-Kac
relation to this setting, and use it to establish the spectral condition on a
cylinder. We also consider positive-temperature states.


title:
Compressed Sensing with Sparse Binary Matrices: Instance Optimal Error
  Guarantees in Near-Optimal Time

abstract:
  A compressed sensing method consists of a rectangular measurement matrix, $M
\in \mathbbm{R}^{m \times N}$ with $m \ll N$, together with an associated
recovery algorithm, $\mathcal{A}: \mathbbm{R}^m \rightarrow \mathbbm{R}^N$.
Compressed sensing methods aim to construct a high quality approximation to any
given input vector ${\bf x} \in \mathbbm{R}^N$ using only $M {\bf x} \in
\mathbbm{R}^m$ as input. In particular, we focus herein on instance optimal
nonlinear approximation error bounds for $M$ and $\mathcal{A}$ of the form $ \|
{\bf x} - \mathcal{A} (M {\bf x}) \|_p \leq \| {\bf x} - {\bf x}^{\rm opt}_k
\|_p + C k^{1/p - 1/q} \| {\bf x} - {\bf x}^{\rm opt}_k \|_q$ for ${\bf x} \in
\mathbbm{R}^N$, where ${\bf x}^{\rm opt}_k$ is the best possible $k$-term
approximation to ${\bf x}$.
  In this paper we develop a compressed sensing method whose associated
recovery algorithm, $\mathcal{A}$, runs in $O((k \log k) \log N)$-time,
matching a lower bound up to a $O(\log k)$ factor. This runtime is obtained by
using a new class of sparse binary compressed sensing matrices of near optimal
size in combination with sublinear-time recovery techniques motivated by
sketching algorithms for high-volume data streams. The new class of matrices is
constructed by randomly subsampling rows from well-chosen incoherent matrix
constructions which already have a sub-linear number of rows. As a consequence,
fewer random bits than previously required are needed in order to select the
rows utilized by the fast reconstruction algorithms considered herein.


title: Unconventional photon blockade in coupled optomechanical systems

abstract:
  We show that in laser-driven coupled optomechanical systems, photon
antibunching can occur under weak optomechanical coupling, contrarily to common
expectation. This unconventional photon blockade originates from destructive
quantum interference between different excitation pathways bringing from the
ground to two-photon states. Using a quantum open-system approach, we study the
antibunching as a function of driving field amplitude, temperature, and pure
dephasing rate, and derive optimal values of the system parameters for its
occurrence. These values are remarkably close to those characterizing
optomechanical systems in some current experimental studies.


title:
Large cycles and a functional central limit theorem for generalized
  weighted random permutations

abstract:
  The objects of our interest are the so-called $A$-permutations, which are
permutations whose cycle length lie in a fixed set $A$. They have been
extensively studied with respect to the uniform or the Ewens measure. In this
paper, we extend some classical results to a more general weighted probability
measure which is a natural extension of the Ewens measure and which in
particular allows to consider sets $A_n$ depending on the degree $n$ of the
permutation. By means of complex analysis arguments and under reasonable
conditions on generating functions we study the asymptotic behaviour of
classical statistics. More precisely, we generalize results concerning large
cycles of random permutations by Vershik, Shmidt and Kingman, namely the weak
convergence of the size ordered cycle length to a Poisson-Dirichlet
distribution. Furthermore, we apply our tools to the cycle counts and obtain a
Brownian motion central limit theorem which extends results by DeLaurentis,
Pittel and Hansen.


title:
Floating Electrode Electrowetting on Hydrophobic Dielectric with an SiO2
  Layer

abstract:
  Floating electrode electrowetting is caused by dc voltage applied to a liquid
droplet on the Cytop surface, without electrical connection to the substrate.
The effect is caused by the charge separation in the floating electrode. A
highly-resistive thermally-grown SiO2 layer underneath the Cytop enables the
droplet to hold charges without leakage, which is the key contribution.
Electrowetting with an SiO2 layer shows a memory effect, where the wetting
angle stays the same after the auxiliary electrode is removed from the droplet
in both conventional and floating electrode electrowetting. Floating electrode
electrowetting provides an alternative configuration for developing advanced
electrowetting-based devices.


title: Boundary behaviour of harmonic functions on hyperbolic manifolds

abstract:
  Let $M$ be a complete simply connected manifold which is in addition Gromov
hyperbolic, coercive and roughly starlike. For a given harmonic function on
$M$, a local Fatou Theorem and a pointwise criteria of non-tangential
convergence coming from the density of energy are shown: at almost all points
of the boundary, the harmonic function converges non-tangentially if and only
if the supremum of the density of energy is finite. As an application of these
results, a Calder\'on-Stein Theorem is proved, that is, the non-tangential
properties of convergence, boundedness and finiteness of energy are equivalent
at almost every point of the boundary.


title: Optimization of thermal comfort in building through envelope design

abstract:
  Due to the current environmental situation, energy saving has become the
leading drive in modern research. Although the residential houses in tropical
climate do not use air conditioning to maintain thermal comfort in order to
avoid use of electricity. As the thermal comfort is maintained by adequate
envelope composition and natural ventilation, this paper shows that it is
possible to determine the thickness of envelope layers for which the best
thermal comfort is obtained. The building is modeled in EnergyPlus software and
HookeJeves optimization methodology. The investigated house is a typical
residential house one-storey high with five thermal zones located at Reunion
Island, France. Three optimizations are performed such as the optimization of
the thickness of the concrete block layer, of the wood layer, and that of the
thermal insulation layer. The results show optimal thickness of thermal
envelope layers that yield the maximum TC according to Fanger predicted mean
vote.


title: Performances of Low Temperature Radiant Heating Systems

abstract:
  Low temperature heating panel systems offer distinctive advantages in terms
of thermal comfort and energy consumption, allowing work with low exergy
sources. The purpose of this paper is to compare floor, wall, ceiling, and
floor-ceiling panel heating systems in terms of energy, exergy and CO2
emissions. Simulation results for each of the analyzed panel system are given
by its energy (the consumption of gas for heating, electricity for pumps and
primary energy) and exergy consumption, the price of heating, and its carbon
dioxide emission. Then, the values of the air temperatures of rooms are
investigated and that of the surrounding walls and floors. It is found that the
floor-ceiling heating system has the lowest energy, exergy, CO2 emissions,
operating costs, and uses boiler of the lowest power. The worst system by all
these parameters is the classical ceiling heating


title:
Landau gauge ghost propagator and running coupling in SU(2) lattice
  gauge theory

abstract:
  We study finite (physical) volume and scaling violation effects of the Landau
gauge ghost propagator as well as of the running coupling $\alpha_s(p)$ in the
$SU(2)$ lattice gauge theory. We consider lattices with physical linear sizes
between $aL \simeq 3$ fm and $7$ fm and values of lattice spacing between
$a=0.2$ fm and $0.07$ fm. To fix the gauge we apply an efficient gauge fixing
method aimed at finding extrema as close as possible to the global maximum of
the gauge functional. We find finite volume effects to be small for the lattice
size $aL \simeq 3$ fm at momenta $|p|\, \ge \, 0.6$ GeV. For the same lattice
size we study extrapolations to the continuum limit of the ghost dressing
function as well as for the running coupling with momenta chosen between $|p| =
0.41$ GeV and $3.2$ GeV. We present fit formulae for the continuum limit of
both observables in this momentum range. Our results testify in favor of the
decoupling behavior in the infrared limit.


title: Strong Lensing with Finite Temperature Scalar Field Dark Matter

abstract:
  We investigate the gravitational constraints imposed to dark matter halos in
the context of finite temperature scalar field dark matter. We find constraints
to produce multiple images by dark matter only, we show that there are
differences with respect to the full Bose Einstein condensate halo when the
temperature of the scalar field in dark matter halos is taken into account. The
non zero temperature allows the scalar field to be in excited states and
recently, their existence has proved to be necessary to fit rotation curves of
dark matter dominated galaxies of all sizes, it also explained the non
universality of the halo density profiles. Therefore, we expect that combining
observations of rotation curves and strong lensing systems can give us a clue
to the nature of dark matter. Finally, we propose a method to identify the
excited state of a strong lens halo, knowing various halo excited states can
provide information of the scalar field dark matter halo evolution which can be
tested using numerical simulations.


title: Queue-Based Random-Access Algorithms: Fluid Limits and Stability Issues

abstract:
  We use fluid limits to explore the (in)stability properties of wireless
networks with queue-based random-access algorithms. Queue-based random-access
schemes are simple and inherently distributed in nature, yet provide the
capability to match the optimal throughput performance of centralized
scheduling mechanisms in a wide range of scenarios. Unfortunately, the type of
activation rules for which throughput optimality has been established, may
result in excessive queue lengths and delays. The use of more
aggressive/persistent access schemes can improve the delay performance, but
does not offer any universal maximum-stability guarantees. In order to gain
qualitative insight and investigate the (in)stability properties of more
aggressive/persistent activation rules, we examine fluid limits where the
dynamics are scaled in space and time. In some situations, the fluid limits
have smooth deterministic features and maximum stability is maintained, while
in other scenarios they exhibit random oscillatory characteristics, giving rise
to major technical challenges. In the latter regime, more aggressive access
schemes continue to provide maximum stability in some networks, but may cause
instability in others. Simulation experiments are conducted to illustrate and
validate the analytical results.


title: The Schottky problem in genus five

abstract:
  In this paper, we present a solution to the Schottky problem in the spirit of
Schottky and Jung for genus five curves. To do so, we exploit natural incidence
structures on the fibers of several maps to reduce all questions to statements
about the Prym map for genus six curves. This allows us to find all components
of the big Schottky locus and thus, to show that the small Schottky locus
introduced by Donagi is irreducible.


title: On vertex decomposable simplicial complexes and their Alexander duals

abstract:
  In this paper we study the Alexander dual of a vertex decomposable simplicial
complex. We define the concept of a vertex splittable ideal and show that a
simplicial complex $\Delta$ is vertex decomposable if and only if
$I_{\Delta^{\vee}}$ is a vertex splittable ideal. Moreover, the properties of
vertex splittable ideals are studied. As the main result, it is proved that any
vertex splittable ideal has a Betti splitting and the graded Betti numbers of
such ideals are explained with a recursive formula. As a corollary, recursive
formulas for the regularity and projective dimension of $R/I_{\Delta}$, when
$\Delta$ is a vertex decomposable simplicial complex, are given. Moreover, for
a vertex decomposable graph $G$, a recursive formula for the graded Betti
numbers of its vertex cover ideal is presented. In special cases, this formula
is explained, when $G$ is chordal or a sequentially Cohen-Macaulay bipartite
graph. Finally, among the other things, it is shown that an edge ideal of a
graph is vertex splittable if and only if it has linear resolution.


title:
Statistical mechanics of bend flexoelectricity and the twist-bend phase
  in bent-core liquid crystals

abstract:
  We develop a Landau theory for bend flexoelectricity in liquid crystals of
bent-core molecules. In the nematic phase of the model, the bend flexoelectric
coefficient increases as we reduce the temperature toward the nematic to polar
phase transition. At this critical point, there is a second order transition
from high-temperature uniform nematic phase to low-temperature nonuniform polar
phase composed of twist-bend or splay-bend deformations. To test the
predictions of Landau theory, we perform Monte Carlo simulations to find the
director and polarization configurations as functions of temperature, applied
electric field, and interaction parameters.


title: Minimal complete Shidoku symmetry groups

abstract:
  Calculations of the number of equivalence classes of Sudoku boards has to
this point been done only with the aid of a computer, in part because of the
unnecessarily large symmetry group used to form the classes. In particular, the
relationship between relabeling symmetries and positional symmetries such as
row/column swaps is complicated. In this paper we focus first on the smaller
Shidoku case and show first by computation and then by using connectivity
properties of simple graphs that the usual symmetry group can in fact be
reduced to various minimal subgroups that induce the same action. This is the
first step in finding a similar reduction in the larger Sudoku case and for
other variants of Sudoku.


title:
Reply to "Comment on `Black Holes are neither Particle Accelerators nor
  Dark Matter Probes' "

abstract:
  We respond to a recent criticism from Zaslavskii (arXiv:1301.3429v2 [gr-qc])
of our article, which appeared in Phys. Rev. Lett. 110 011102 (2013). We
clarify the points of apparent disagreement, none of which relate to the
central result of our original paper, which is the demonstration that the
diverging center-of-masss energy of collisions in Kerr spacetime, known as the
"BSW effect", can never be observed in nature. To emphasize this result, we
present it in a more concise way which completely avoids any of the questions
brought up by Zaslavskii.


title:
A fully anisotropic mechanism for formation of trapped surfaces in
  vacuum

abstract:
  We present a new, fully anisotropic, criterion for formation of trapped
surfaces in vacuum. More precisely we provide conditions on null data,
concentrated in a neighborhood of a short null geodesic segment (possibly flat
everywhere else) whose future development contains a trapped surface. This
extends considerably the previous result of Christodoulou \cite{Chr:book} which
required instead a uniform condition along all null geodesic generators. To
obtain our result we combine Christodoulou's mechanism for the formation of a
trapped surface with a new deformation process which takes place along incoming
null hypersurfaces.


title: Swarming, swirling and stasis in sequestered bristle-bots

abstract:
  The collective ability of organisms to move coherently in space and time is
ubiquitous in any group of autonomous agents that can move and sense each other
and the environment. Here we investigate the origin of collective motion and
its loss using macroscopic self-propelled Bristle-Bots, simple automata made
from a toothbrush and powered by an onboard cell phone vibrator-motor, that can
sense each other through shape-dependent local interactions, and can also sense
the environment non-locally via the effects of confinement and substrate
topography. We show that when Bristle-Bots are confined to a limited arena with
a soft boundary, increasing the density drives a transition from a disordered
and uncoordinated motion to organized collective motion either as a swirling
cluster or a collective dynamical stasis. This transition is regulated by a
single parameter, the relative magnitude of spinning and walking in a single
automaton. We explain this using quantitative experiments and simulations that
emphasize the role of the agent shape, environment, and confinement via
boundaries. Our study shows how the behavioral repertoire of these physically
interacting automatons controlled by one parameter translates into the
mechanical intelligence of swarms.


title: Estimation of Near Surface Wind Speeds in Strongly Rotating Flows

abstract:
  Modeling studies consistently demonstrate that the most violent winds in
tornadic vortices occur in the lowest tens of meters above the surface. These
velocities are unobservable by radar platforms due to line of sight consider-
ations. In this work, a methodology is developed which utilizes parametric
tangential velocity models derived from Doppler radar measurements, to- gether
with a tangential momentum and mass continuity constraint, to esti- mate the
radial and vertical velocities in a steady axisymmetric frame. The main result
is that information from observations aloft can be extrapolated into the
surface layer of the vortex. The impact of the amount of information available
to the retrieval is demonstrated through some numerical tests with pseudo-data.


title:
C*-algebraic intertwiners for degenerate principal series of special
  linear groups

abstract:
  We construct unitary intertwiners for degenerate C*-algebraic universal
principal series of SL(n+1) over a local field by explicitely normalizing
standard intertwining integrals a the level of Hilbert modules.


title:
Multi-Feedback Successive Interference Cancellation for Multiuser MIMO
  Systems

abstract:
  In this paper, a low-complexity multiple feedback successive interference
cancellation (MF-SIC) strategy is proposed for the uplink of multiuser
multiple-input multiple-output (MU-MIMO) systems. In the proposed MF-SIC
{algorithm with shadow area constraints (SAC)}, an enhanced interference
cancellation is achieved by introducing {constellation points as the
candidates} to combat the error propagation in decision feedback loops. We also
combine the MF-SIC with multi-branch (MB) processing, which achieves a higher
detection diversity order. For coded systems, a low-complexity soft-input
soft-output (SISO) iterative (turbo) detector is proposed based on the MF and
the MB-MF interference suppression techniques. The computational complexity of
the MF-SIC is {comparable to} the conventional SIC algorithm {since very little
additional complexity is required}. {Simulation} results show that the
algorithms significantly outperform the conventional SIC scheme and {approach}
the optimal detector.


title: Two ultimate tests of constrained supersymmetry

abstract:
  We examine the prospects of using two alternative and complementary ways to
explore the regions that are favored by global constraints in two simple
unified supersymmetric models: the CMSSM and the NUHM. First, we consider
BR(Bs->\mu\mu), which has recently been for the first time measured by LHCb. In
the CMSSM we show that ultimate, but realistic, improvement in the
determination of the observable to about 5-10% around the Standard Model value
would strongly disfavor the A-funnel region, while not affecting much the other
favored regions. Second, we show that all the favored regions of the CMSSM will
be, for the most part, sensitive to direct dark matter searches in future
one-tonne detectors. A signal at low WIMP mass (<=450 GeV) and low
spin-independent cross section would then strongly favor the stau
coannihilation region while a signal at higher WIMP mass (~800 GeV to ~1.2 TeV)
would clearly point to the region where the neutralino is higgsino-like with
mass ~1 TeV. A nearly complete experimental testing of the CMSSM over multi-TeV
ranges of superpartner masses, far beyond the reach of direct SUSY searches at
the LHC, can therefore be achievable. In the NUHM, in contrast, similar favored
regions exist but a sample study reveals that even a precise determination of
BR(Bs->\mu\mu) would have a much less constraining power on the model,
including the A-funnel region. On the other hand, this could allow one to, by
detecting in one-tonne detectors a signal for 500 GeV<m_{\chi}<800 GeV,
strongly disfavor the CMSSM.


title: Shape Characterization via Boundary Distortion

abstract:
  In this paper, we derive new shape descriptors based on a directional
characterization. The main idea is to study the behavior of the shape
neighborhood under family of transformations. We obtain a description invariant
with respect to rotation, reflection, translation and scaling. A well-defined
metric is then proposed on the associated feature space. We show the continuity
of this metric. Some results on shape retrieval are provided on two databases
to show the accuracy of the proposed shape metric.


title:
Adaptive Decision Feedback Detection with Parallel Interference
  Cancellation and Constellation Constraints for Multi-Antenna Systems

abstract:
  In this paper, a novel low-complexity adaptive decision feedback detection
with parallel decision feedback and constellation constraints (P-DFCC) is
proposed for multiuser MIMO systems. We propose a constrained constellation map
which introduces a number of selected points served as the feedback candidates
for interference cancellation. By introducing a reliability checking, a higher
degree of freedom is introduced to refine the unreliable estimates. The P-DFCC
is followed by an adaptive receive filter to estimate the transmitted symbol.
In order to reduce the complexity of computing the filters with time-varying
MIMO channels, an adaptive recursive least squares (RLS) algorithm is employed
in the proposed P-DFCC scheme. An iterative detection and decoding (Turbo)
scheme is considered with the proposed P-DFCC algorithm. Simulations show that
the proposed technique has a complexity comparable to the conventional parallel
decision feedback detector while it obtains a performance close to the maximum
likelihood detector at a low to medium SNR range.


title: Recent results in chiral effective field theory for the NN system

abstract:
  I describe recent progress towards a theory of the NN force which captures
the consequences of QCD's chiral symmetry and the pattern of its breaking, and
is formulated as an expansion in a ratio of low and high mass scales,
M_{lo}/M_{hi}. This "chiral effective field theory" of the NN system is a firm
foundation for explorations of nuclear structure and reactions that are
grounded in QCD's low-energy symmetries. While calculations that use a ChiPT
expansion for the NN potential have proven very successful, they can only be
used with a narrow range of momentum-space cutoffs, which leaves the expansion
parameter for observable quantities somewhat murky. Here we seek a truly
systematic effective field theory for the NN amplitude, that is manifestly
renormalization-group invariant at each order in a demonstrably perturbative
expansion.


title:
Low-Complexity Variable Forgetting Factor Techniques for RLS Algorithms
  in Interference Rejection Applications

abstract:
  We propose a low-complexity variable forgetting factor (VFF) mechanism for
recursive least square (RLS) algorithms in interference suppression
applications. The proposed VFF mechanism employs an updated component related
to the time average of the error correlation to automatically adjust the
forgetting factor in order to ensure fast convergence and good tracking of the
interference and the channel. Convergence and tracking analyses are carried out
and analytical expressions for predicting the mean squared error of the
proposed adaptation technique are obtained. Simulation results for a
direct-sequence code-division multiple access (DS-CDMA) system are presented in
nonstationary environments and show that the proposed VFF mechanism achieves
superior performance to previously reported methods at a reduced complexity.


title: Time scales and structures of wave interaction

abstract:
  In this paper we give a general account of Wave Interaction Theory which by
now consists of two parts: kinetic wave turbulence theory (WTT), using a
statistical description of wave interactions, and the D-model recently
introduced in \emph{Kartashova, PRE \textbf{86}: 041129 (2012)} describing
interactions of distinct modes. Applying time scale analysis to weakly
nonlinear wave systems modeled by the focusing nonlinear Sch\"{o}dinger
equation, we give an overview of the structures appearing in Wave Interaction
Theory, their time scales and characteristic times. We demonstrate that kinetic
cascade and D-cascade are not competing processes but rather two processes
taking place at different time scales, at different characteristic levels of
nonlinearity and due to different physical mechanisms. Taking surface water
waves as an example we show that energy cascades in this system occur at much
faster characteristic times than those required by the kinetic WTT but can be
described as D-cascades. As D-model has no special pre-requisites, it may be
rewarding to re-evaluate existing experiments in other wave systems appearing
in hydrodynamics, nonlinear optics, electrodynamics, plasma, convection theory,
etc.
  To appear in EPL


title:
Global higher integrability for parabolic quasiminimizers in metric
  spaces

abstract:
  We prove higher integrability up to the boundary for minimal p-weak upper
gradients of parabolic quasiminimizers in metric measure spaces, related to the
heat equation. We assume the underlying metric measure space to be equipped
with a doubling measure and to support a weak Poincar\'e-inequality.


title: Dynamic concentration of the triangle-free process

abstract:
  The triangle-free process begins with an empty graph on n vertices and
iteratively adds edges chosen uniformly at random subject to the constraint
that no triangle is formed. We determine the asymptotic number of edges in the
maximal triangle-free graph at which the triangle-free process terminates. We
also bound the independence number of this graph, which gives an improved lower
bound on the Ramsey numbers R(3,t): we show R(3,t) > (1-o(1)) t^2 / (4 log t),
which is within a 4+o(1) factor of the best known upper bound. Our improvement
on previous analyses of this process exploits the self-correcting nature of key
statistics of the process. Furthermore, we determine which bounded size
subgraphs are likely to appear in the maximal triangle-free graph produced by
the triangle-free process: they are precisely those triangle-free graphs with
density at most 2.


title: Kernel methods on spike train space for neuroscience: a tutorial

abstract:
  Over the last decade several positive definite kernels have been proposed to
treat spike trains as objects in Hilbert space. However, for the most part,
such attempts still remain a mere curiosity for both computational
neuroscientists and signal processing experts. This tutorial illustrates why
kernel methods can, and have already started to, change the way spike trains
are analyzed and processed. The presentation incorporates simple mathematical
analogies and convincing practical examples in an attempt to show the yet
unexplored potential of positive definite functions to quantify point
processes. It also provides a detailed overview of the current state of the art
and future challenges with the hope of engaging the readers in active
participation.


title: The Myhill property for cellular automata on amenable semigroups

abstract:
  Let $S$ be a cancellative left-amenable semigroup and let $A$ be a finite
set. We prove that every pre-injective cellular automaton $\tau \colon A^S \to
A^S$ is surjective.


title:
Information Transmission Between Financial Markets in Chicago and New
  York

abstract:
  High frequency trading has led to widespread efforts to reduce information
propagation delays between physically distant exchanges. Using relativistically
correct millisecond-resolution tick data, we document a 3-millisecond decrease
in one-way communication time between the Chicago and New York areas that has
occurred from April 27th, 2010 to August 17th, 2012. We attribute the first
segment of this decline to the introduction of a latency-optimized fiber optic
connection in late 2010. A second phase of latency decrease can be attributed
to line-of-sight microwave networks, operating primarily in the 6-11 GHz region
of the spectrum, licensed during 2011 and 2012. Using publicly available
information, we estimate these networks' latencies and bandwidths. We estimate
the total infrastructure and 5-year operations costs associated with these
latency improvements to exceed $500 million.


title: Antimatroids and Balanced Pairs

abstract:
  We generalize the 1/3-2/3 conjecture from partially ordered sets to
antimatroids: we conjecture that any antimatroid has a pair of elements x,y
such that x has probability between 1/3 and 2/3 of appearing earlier than y in
a uniformly random basic word of the antimatroid. We prove the conjecture for
antimatroids of convex dimension two (the antimatroid-theoretic analogue of
partial orders of width two), for antimatroids of height two, for antimatroids
with an independent element, and for the perfect elimination antimatroids and
node search antimatroids of several classes of graphs. A computer search shows
that the conjecture is true for all antimatroids with at most six elements.


title:
On metric characterizations of the Radon-Nikod\'ym and related
  properties of Banach spaces

abstract:
  We find a class of metric structures which do not admit bilipschitz
embeddings into Banach spaces with the Radon-Nikod\'ym property. Our proof
relies on Chatterji's (1968) martingale characterization of the RNP and does
not use the Cheeger's (1999) metric differentiation theory. The class includes
the infinite diamond and both Laakso (2000) spaces. We also show that for each
of these structures there is a non-RNP Banach space which does not admit its
bilipschitz embedding.
  We prove that a dual Banach space does not have the RNP if and only if it
admits a bilipschitz embedding of the infinite diamond.
  The paper also contains related characterizations of reflexivity and the
infinite tree property.


title: Non Monotone Stochastic Evolution Equations

abstract:
  An approach to stochastic evolution equations based on a simple
generalization of known embedding theorems is presented. It allows for the
inclusion of problems which have nonlinear non monotone operators. This is used
to discuss the existence of strong solutions to a stochastic Navier Stokes
problem in dimension less than four.


title:
Next-to-leading order thermal photon production in a weakly coupled
  quark-gluon plasma

abstract:
  We compute the next-to-leading order O(g) correction to the thermal photon
production rate in a QCD plasma. The NLO contributions can be expressed in
terms of gauge invariant condensates on the light cone, which are amenable to
novel sum rules and Euclidean techniques. We expect these technologies to be
generalizable to other NLO calculations. For the phenomenologically interesting
value of alpha_s=0.3, the NLO correction represents a 20% increase and has a
functional form similar to the LO result.


title:
Rigorous quantum field theory functional integrals over the p-adics I:
  anomalous dimensions

abstract:
  In this article we provide the complete proof of the result announced in
arXiv:1210.7717 about the construction of scale invariant non-Gaussian
generalized stochastic processes over three dimensional p-adic space. The
construction includes that of the associated squared field and our result shows
this squared field has a dynamically generated anomalous dimension which
rigorously confirms a prediction made more than forty years ago, in an
essentially identical situation, by K. G. Wilson. We also prove a mild form of
universality for the model under consideration. Our main innovation is that our
rigourous renormalization group formalism allows for space dependent couplings.
We derive the relationship between mixed correlations and the dynamical systems
features of our extended renormalization group transformation at a nontrivial
fixed point. The key to our control of the composite field is a partial
linearization theorem which is an infinite-dimensional version of the Koenigs
Theorem in holomorphic dynamics. This is akin to a nonperturbative construction
of a nonlinear scaling field in the sense of F. J. Wegner infinitesimally near
the critical surface. Our presentation is essentially self-contained and geared
towards a wider audience. While primarily concerning the areas of probability
and mathematical physics we believe this article will be of interest to
researchers in dynamical systems theory, harmonic analysis and number theory.
It can also be profitably read by graduate students in theoretical physics with
a craving for mathematical precision while struggling to learn the
renormalization group.

categories: math.PR hep-th math-ph math.DS math.MP math.NT


title: Confined Plasmons in Graphene Microstructures: Experiments and Theory

abstract:
  Graphene, a two-dimensional material with a high mobility and a tunable
conductivity, is uniquely suited for plasmonics. The frequency dispersion of
plasmons in bulk graphene has been studied both theoretically and
experimentally, whereas no theoretical models have been reported and tested
against experiments for confined plasmon modes in graphene microstructures. In
this paper, we present experimental measurements as well as analytical and
computational models for such confined modes. We compare experimental
measurements with theory for plasmon modes in interacting arrays of graphene
strips and demonstrate a good agreement. The comparison between experimental
and theoretical results reveals the important role played by interaction among
the plasmon modes of neighboring graphene structures.


title:
Sample Approximation-Based Deflation Approaches for Chance SINR
  Constrained Joint Power and Admission Control

abstract:
  Consider the joint power and admission control (JPAC) problem for a
multi-user single-input single-output (SISO) interference channel. Most
existing works on JPAC assume the perfect instantaneous channel state
information (CSI). In this paper, we consider the JPAC problem with the
imperfect CSI, that is, we assume that only the channel distribution
information (CDI) is available. We formulate the JPAC problem into a chance
(probabilistic) constrained program, where each link's SINR outage probability
is enforced to be less than or equal to a specified tolerance. To circumvent
the computational difficulty of the chance SINR constraints, we propose to use
the sample (scenario) approximation scheme to convert them into finitely many
simple linear constraints. Furthermore, we reformulate the sample approximation
of the chance SINR constrained JPAC problem as a composite group sparse
minimization problem and then approximate it by a second-order cone program
(SOCP). The solution of the SOCP approximation can be used to check the
simultaneous supportability of all links in the network and to guide an
iterative link removal procedure (the deflation approach). We exploit the
special structure of the SOCP approximation and custom-design an efficient
algorithm for solving it. Finally, we illustrate the effectiveness and
efficiency of the proposed sample approximation-based deflation approaches by
simulations.


title:
Exact Safety Verification of Interval Hybrid Systems Based on
  Symbolic-Numeric Computation

abstract:
  In this paper, we address the problem of safety verification of interval
hybrid systems in which the coefficients are intervals instead of explicit
numbers. A hybrid symbolic-numeric method, based on SOS relaxation and interval
arithmetic certification, is proposed to generate exact inequality invariants
for safety verification of interval hybrid systems. As an application, an
approach is provided to verify safety properties of non-polynomial hybrid
systems. Experiments on the benchmark hybrid systems are given to illustrate
the efficiency of our method.


title:
Low-Complexity Algorithm for Worst-Case Utility Maximization in
  Multiuser MISO Downlink

abstract:
  This work considers worst-case utility maximization (WCUM) problem for a
downlink wireless system where a multiantenna base station communicates with
multiple single-antenna users. Specifically, we jointly design transmit
covariance matrices for each user to robustly maximize the worst-case (i.e.,
minimum) system utility function under channel estimation errors bounded within
a spherical region. This problem has been shown to be NP-hard, and so any
algorithms for finding the optimal solution may suffer from prohibitively high
complexity. In view of this, we seek an efficient and more accurate suboptimal
solution for the WCUM problem. A low-complexity iterative WCUM algorithm is
proposed for this nonconvex problem by solving two convex problems
alternatively. We also show the convergence of the proposed algorithm, and
prove its Pareto optimality to the WCUM problem. Some simulation results are
presented to demonstrate its substantial performance gain and higher
computational efficiency over existing algorithms.


title: The distribution of r-free numbers in arithmetic progressions

abstract:
  A positive integer n is called r-free if n is not divisible by the r-th power
of a prime. Generalizing earlier work of Orr, we provide an upper bound of
Bombieri-Vinogradov type for the r-free numbers in arithmetic progressions.


title: Local mean dimension of ASD moduli spaces over the cylinder

abstract:
  We study an infinite dimensional ASD moduli space over the cylinder. Our main
result is the formula of its local mean dimension. A key ingredient of the
argument is the notion of non-degenerate ASD connections. We develop its
deformation theory and show that there exist sufficiently many non-degenerate
ASD connections by using the method of gluing infinitely many instantons.