title:
Computational Modeling of Channelrhodopsin-2 Photocurrent
  Characteristics in Relation to Neural Signaling

abstract:
  Channelrhodopsins-2 (ChR2) are a class of light sensitive proteins that offer
the ability to use light stimulation to regulate neural activity with
millisecond precision. In order to address the limitations in the efficacy of
the wild-type ChR2 (ChRwt) to achieve this objective, new variants of ChR2 that
exhibit fast mono-exponential photocurrent decay characteristics have been
recently developed and validated. In this paper, we investigate whether the
framework of transition rate model with 4 states, primarily developed to mimic
the bi-exponential photocurrent decay kinetics of ChRwt, as opposed to the low
complexity 3 state model, is warranted to mimic the mono-exponential
photocurrent decay kinetics of the newly developed fast ChR2 variants: ChETA
(Gunaydin et al., Nature Neurosci, 13:387-392, 2010) and ChRET/TC (Berndt et
al., PNAS, 108:7595-7600, 2011). We begin by estimating the parameters for the
3-state and 4-state models from experimental data on the photocurrent kinetics
of ChRwt, ChETA and ChRET/TC. We then incorporate these models into a
fast-spiking interneuron model (Wang and Buzsaki., J Neurosci,
16:6402-6413,1996) and a hippocampal pyramidal cell model (Golomb et al., J
Neurophysiol, 96:1912-1926, 2006) and investigate the extent to which the
experimentally observed neural response to various optostimulation protocols
can be captured by these models. We demonstrate that for all ChR2 variants
investigated, the 4 state model implementation is better able to capture neural
response consistent with experiments across wide range of optostimulation
protocol. We conclude by analytically investigating the conditions under which
the characteristic specific to the 3-state model, namely the mono-exponential
photocurrent decay of the newly developed variants of ChR2, can occurs in the
framework of the 4-state model.


title:
Nonlinear Rayleigh-Taylor Instability for Nonhomogeneous Incompressible
  Viscous Magnetohydrodynamic Flows

abstract:
  We investigate the nonlinear instability of a smooth Rayleigh-Taylor
steady-state solution (including the case of heavier density with increasing
height) to the three-dimensional incompressible nonhomogeneous
magnetohydrodynamic (MHD) equations of zero resistivity in the presence of a
uniform gravitational field. We first analyze the linearized equations around
the steady-state solution. Then we construct solutions of the linearized
problem that grow in time in the Sobolev space $H^k$, thus leading to the
linear instability. With the help of the constructed unstable solutions of the
linearized problem and a local well-posedness result of smooth solutions to the
original nonlinear problem, we establish the instability of the density, the
horizontal and vertical velocities in the nonlinear problem. Moreover, when the
steady magnetic field is vertical and small, we prove the instability of the
magnetic field. This verifies the physical phenomenon: instability of the
velocity leads to the instability of the magnetic field through the induction
equation.


title: Tucker Tensor Regression and Neuroimaging Analysis

abstract:
  Large-scale neuroimaging studies have been collecting brain images of study
individuals, which take the form of two-dimensional, three-dimensional, or
higher dimensional arrays, also known as tensors. Addressing scientific
questions arising from such data demands new regression models that take
multidimensional arrays as covariates. Simply turning an image array into a
long vector causes extremely high dimensionality that compromises classical
regression methods, and, more seriously, destroys the inherent spatial
structure of array data that possesses wealth of information. In this article,
we propose a family of generalized linear tensor regression models based upon
the Tucker decomposition of regression coefficient arrays. Effectively
exploiting the low rank structure of tensor covariates brings the ultrahigh
dimensionality to a manageable level that leads to efficient estimation. We
demonstrate, both numerically that the new model could provide a sound recovery
of even high rank signals, and asymptotically that the model is consistently
estimating the best Tucker structure approximation to the full array model in
the sense of Kullback-Liebler distance. The new model is also compared to a
recently proposed tensor regression model that relies upon an alternative
CANDECOMP/PARAFAC (CP) decomposition.


title:
Dense Baryonic Matter in Hidden Local Symmetry Approach: Half-Skyrmions
  and Nucleon Mass

abstract:
  Hadron properties in dense medium are treated in a unified way in a skyrmion
model constructed with an effective Lagrangian, in which the rho and omega
vector mesons are introduced as hidden gauge bosons, valid up to O(p^4) terms
in chiral expansion including the homogeneous Wess-Zumino terms. All the low
energy constants - apart from f_pi and m_rho - are fixed by the master formula
derived from the relation between 5-D hQCD and 4-D HLS. This allows one to pin
down the density n_1/2 at which the skyrmions in medium fractionize into
half-skyrmions, bringing in a drastic change in the EoS of dense matter. We
find that the U(1) field that figures in the CS term in the hQCD action or
equivalently the omega field in the hWZ term in the dimensionally reduced HLS
action plays a crucial role in the half-skyrmion phase. The importance of the
omega degree of freedom may be connected to what happens in the instanton
structure of elementary baryon noticed in hQCD. The most striking and
intriguing in what is found in the model is that f_pi that smoothly drops with
increasing density in the skyrmion phase stops decreasing at n_1/2 and remains
nearly constant in the half-skyrmion phase. In accordance with the large N_c
consideration, the baryon mass also stays non-scaling in the half-skyrmion
phase. This feature which is reminiscent of the parity-doublet baryon model
with a chirally invariant mass m_0 is supported by the nuclear EFT with the
parameters of the Lagrangian scaling modified at the skyrmion-half-skyrmion
phase transition. It also matches with one-loop RG analysis based on HLS. A
link between a non-vanishing m_0 and the origin of nucleon mass distinctive
from dynamically generated mass is suggested. We briefly discuss the possible
consequences of the topology change found in this paper on the forthcoming
experiments at the RIB machines under construction.


title:
Single top quark differential decay rate formulae including detector
  effects

abstract:
  Since the discovery of parity violation in 1957, angular distributions of
leptons coming from the weak decay of polarized fermions have been used to
probe the structure of the Wqq' vertex. Vector and axial vector couplings
reveal themselves in the angular distributions of both light and heavy
polarized fermions, but tensor and pseudotensor couplings have a prominent
influence on the angular distributions only for fermions heavier than the W
boson; i.e. the top quark. The copious t-channel production of polarized single
top quarks at the LHC provides an opportunity to study the angular
distributions of leptons from polarized top quark decay. In this paper we
develop formulae for differential rates intended to be used as a likelihood
function in the simultaneous extraction of decay amplitudes, phases, and
polarization. The incorporation of detector effects in these formulae is
accomplished using a variant of the familiar convolution theorem applying to a
decomposition of the differential rates in spherical harmonics.


title: A comprehensive view of cosmological Dark Side

abstract:
  Recent cosmological and astrophysical observations point out that the
Universe is in accelerating expansion and filled up with non-luminous matter.
In order to explain the observed large scale structures and this accelerating
behavior one needs a huge amounts of Dark Energy and Dark Matter. Although many
attempts have been done, both at theoretical and experimental level, up to now
there are several models proposed to explain such mysterious components.
However, no final conclusion on the nature of dark components has been reached
up to now so the question is completely open. In this paper, we review, with no
claim of completeness, the recent results and ideas underlying Dark Energy and
Dark Matter issues.


title: Knot Visualization Experiments for Verifiable Molecular Movies

abstract:
  Classical topological concepts are applied to understand high performance
computing simulations of molecules writhing in three dimensional space. These
simulations produce peta-bytes of floating point data, to describe 3
dimensional changes in molecular structure. A zero-th order analysis is
achieved by viewing a computer animation synchronized with these changes. The
performance demands for animation of this voluminous data can become
problematic, but techniques from low-dimensional topology are helpful. The 3D
molecule is reduced to a lower dimensional model of a 1-manifold, which
undergoes a piecewise linear approximation for animation. An example is
presented here to show how a 1-manifold and its PL approximation could come to
have different embeddings as molecular writhing proceeds. This should serve as
a cautionary warning to animators to respect established sufficient conditions
for topological preservation so that the movies generated will faithfully
reflect the topology of the underlying model. To obtain this result, techniques
from low-dimensional topology were joined with experimental mathematics and
numerical analyses.


title:
Spatio-Temporal Low Count Processes with Application to Violent Crime
  Events

abstract:
  There is significant interest in being able to predict where crimes will
happen, for example to aid in the efficient tasking of police and other
protective measures. We aim to model both the temporal and spatial dependencies
often exhibited by violent crimes in order to make such predictions. The
temporal variation of crimes typically follows patterns familiar in time series
analysis, but the spatial patterns are irregular and do not vary smoothly
across the area. Instead we find that spatially disjoint regions exhibit
correlated crime patterns. It is this indeterminate inter-region correlation
structure along with the low-count, discrete nature of counts of serious crimes
that motivates our proposed forecasting tool. In particular, we propose to
model the crime counts in each region using an integer-valued first order
autoregressive process. We take a Bayesian nonparametric approach to flexibly
discover a clustering of these region-specific time series. We then describe
how to account for covariates within this framework. Both approaches adjust for
seasonality. We demonstrate our approach through an analysis of weekly reported
violent crimes in Washington, D.C. between 2001-2008. Our forecasts outperform
standard methods while additionally providing useful tools such as prediction
intervals.


title: Satisfiability and Canonisation of Timely Constraints

abstract:
  We abstractly formulate an analytic problem that arises naturally in the
study of coordination in multi-agent systems. Let I be a set of arbitrary
cardinality (the set of actions) and assume that for each pair of distinct
actions (i,j), we are given a number \delta(i,j). We say that a function t,
specifying a time for each action, satisfies the timely constraint {\delta} if
for every pair of distinct actions (i,j), we have t(j)-t(i) <= \delta(i,j) (and
thus also t(j)-t(i) >= -\delta(j,i)). While the approach that first comes to
mind for analysing these definitions is an analytic/geometric one, it turns out
that graph-theoretic tools yield powerful results when applied to these
definitions. Using such tools, we characterise the set of satisfiable timely
constraints, and reduce the problem of satisfiability of a timely constraint to
the all-pairs shortest-path problem, and for finite I, furthermore to the
negative-cycle detection problem. Moreover, we constructively show that every
satisfiable timely constraint has a minimal satisfying function - a key
milestone on the way to optimally solving a large class of coordination
problems - and reduce the problem of finding this minimal satisfying function,
as well as the problems of classifying and comparing timely constraints, to the
all-pairs shortest-path problem. At the heart of our analysis lies the
constructive definition of a "nicely-behaved" representative for each class of
timely constraints sharing the same set of satisfying functions. We show that
this canonical representative, as well as the map from such canonical
representatives to the the sets of functions satisfying the classes of timely
constraints they represent, has many desired properties, which provide deep
insights into the structure underlying the above definitions.


title:
Existence of positive solutions for a three-point integral
  boundary-value problem

abstract:
  In this paper, by using the Krasnosel'skii's fixed-point theorem, we study
the existence of at least one or two positive solutions to the three-point
integral boundary value problem {equation*} \label{eq-1} {gathered} {u^{\prime
\prime}}(t)+a(t)f(u(t))=0,\ 0<t<T, u(0)={\beta}u(\eta),\
u(T)={\alpha}\int_{0}^{\eta}u(s)ds, {gathered} {equation*} where $0<{\eta}<T$,
$0<{\alpha}< \frac{2T}{{\eta}^{2}}$,
$0\leq{\beta}<\frac{2T-\alpha\eta^{2}}{\alpha\eta^{2}-2\eta+2T}$ are given
constants.


title: Spectral expansions of cosmological fields

abstract:
  We give a review of the theory of random fields defined on the observable
part of the Universe that satisfy the cosmological principle, i.e., invariant
with respect to the 6-dimensional group $\mathcal{G}$ of the isometries of the
time slice of the Friedmann--Lema\^{\i}tre--Robertson--Walker standard chart.
Our new results include proof of spectral expansions of scalar and spin
weighted $\mathcal{G}$-invariant cosmological fields in open, flat, and closed
cosmological models.


title: Geodesic motion in the space-time of a non-compact boson star

abstract:
  We study the geodesic motion of test particles in the space-time of
non-compact boson stars. These objects are made of a self-interacting scalar
field and -- depending on the scalar field's mass -- can be as dense as neutron
stars or even black holes. In contrast to the former these objects do not
contain a well-defined surface, while in contrast to the latter the space-time
of boson stars is globally regular, can -- however -- only be given
numerically. Hence, the geodesic equation also has to be studied numerically.
We discuss the possible orbits for massive and massless test particles and
classify them according to the particle's energy and angular momentum. The
space-time of a boson star approaches the Schwarzschild space-time
asymptotically, however deviates strongly from it close to the center of the
star. As a consequence, we find additional bound orbits of massive test
particles close to the center of the star that are not present in the
Schwarzschild case. Our results can be used to make predictions about
extreme-mass-ratio inspirals (EMRIs) and we hence compare our results to recent
observational data of the stars orbiting Sagittarius A* - the radiosource at
the center of our own galaxy.


title: Homoclinic orbits of first-order superquadratic Hamiltonian systems

abstract:
  In this article, we study the existence of homoclinic orbits for the
first-order Hamiltonian system {equation*} J\dot{u}(t)+\nabla H(t,u(t))=0,\quad
t\in\mathbb{R}. {equation*} Under the Ambrosetti-Rabinowitz's superquadraticy
condition, or no Ambrosetti-Rabinowitz's superquadracity condition, we present
two results on the existence of infinitely many large energy homoclinic orbits
when $H$ is even in $u$. We apply the generalized (variant) fountain theorems
due to the author and Colin. Under no Ambrosetti-Rabinowitz's superquadracity
condition, we also obtain the existence of a ground state homoclinic orbit by
using the method of the generalized Nehari manifold for strongly indefinite
functionals developed by Szulkin and Weth.


title: Symmetric Powers and Norms of Mackey Functors

abstract:
  In this paper we give detailed algebraic descriptions of the derived
symmetric power and norm constructions on categories of Mackey functors, as
well as the derived G-symmetric monoidal structure. We build on the results of
[Ull2], in which it is shown that every Tambara functor over a finite group G
arises as the zeroth stable homotopy group of a commutative ring G-spectrum.
The norm / restriction adjunctions on categories of Tambara functors promised
in [Ull2] are demonstrated algebraically. Finally, we give a new
characterization of Tambara functors in terms of multiplicative push forwards
of Mackey functors, and use this to obtain an appealing new description of the
free Tambara functor on a Mackey functor which closely matches the structure of
equivariant extended powers.


title:
Nanoscale photonic network for solution searching and decision making
  problems

abstract:
  Nature-inspired devices and architectures are attracting considerable
attention for various purposes, including the development of novel computing
techniques based on spatiotemporal dynamics, exploiting stochastic processes
for computing, and reducing energy dissipation. This paper demonstrates that
networks of optical energy transfers between quantum nanostructures mediated by
optical near-field interactions occurring at scales far below the wavelength of
light could be utilized for solving a constraint satisfaction problem (CSP),
the satisfiability problem (SAT), and a decision making problem. The optical
energy transfer from smaller quantum dots to larger ones, which is a quantum
stochastic process, depends on the existence of resonant energy levels between
the quantum dots or a state-filling effect occurring at the larger quantum
dots. Such a spatiotemporal mechanism yields different evolutions of energy
transfer patterns in multi-quantum-dot systems. We numerically demonstrate that
networks of optical energy transfers can be used for solution searching and
decision making. We consider that such an approach paves the way to a novel
physical informatics in which both coherent and dissipative processes are
exploited, with low energy consumption.


title:
High precision measurement of ultraweak transitions of the
  a${^1}{\triangle}_g{\leftarrow}$X $^3{\Sigma}^{-}_g$ $(0,0)$ band of
  molecular oxygen

abstract:
  We have used a highly sensitive cavity-enhanced frequency modulation
spectroscopy technique to measure different parameters of the ultraweak
transitions of a${^1}{\triangle}_g{\leftarrow}$X $^3{\Sigma}^{-}_g$ $(0,0)$
band of molecular oxygen in the range 7640 cm$^{-1}$ to 7917 cm$^{-1}$. The
self-broadened half-width and air-broadened half-width of the transitions have
been measured for three different pressures for both $^{16}$O$_2$ and
$^{18}$O$_2$. To measure the line intensity and self-broadened half-width we
have used ultra pure oxygen sample and air-broadened half-width was measured
with dry air sample. The $(0,0)$ band of $^{16}$O$_2$ and $^{18}$O$_2$ show
weak quadrupole transitions with line intensities ranging from
$1\times10^{-30}$ to $1.9\times10^{-28}$ cm/molecule. The measurements are in
excellent agreement with the recent measurement of Rothman et. al


title:
Spatio-Temporal Hybrid (PDMP) Models: Central Limit Theorem and Langevin
  Approximation for Global Fluctuations. Application to Electrophysiology

abstract:
  In the present work we derive a Central Limit Theorem for sequences of
Hilbert-valued Piecewise Deterministic Markov process models and their global
fluctuations around their deterministic limit identified by the Law of Large
Numbers. We provide a version of the limiting fluctuations processes in the
form of a distribution valued stochastic partial differential equation which
can be the starting point for further theoretical and numerical analysis. We
also present applications of our results to two examples of hybrid models of
spatially extended excitable membranes: compartmental-type neuron models and
neural fields models. These models are fundamental in neuroscience modelling
both for theory and numerics.


title: Localization and holography in N=2 gauge theories

abstract:
  We compare exact results from Pestun's localization of SU(N) N=2^* gauge
theory on S^4 with available holographic models. While localization can explain
the Coulomb branch vacuum of the holographic Pilch-Warner flow, it disagrees
with the holographic Gauntlett et.al vacuum of N=2 super Yang-Mills theory. We
further compute the free energy of the Pilch-Warner flow on S^4 and show that
it disagrees with the localization result both for a finite S^4 radius, and in
the S^4 decompactification limit. Thus, neither model represents holographic
dual of supersymmetric S^4 localization of Pestun.


title:
Meromorphic analogues of modular forms generating the kernel of
  Shintani's lift

abstract:
  We study the meromorphic modular forms defined as sums of -k (k>1) powers of
integral quadratic polynomials with negative discriminant. These functions can
be viewed as meromorphic analogues of the holomorphic modular forms defined in
the same way with positive discriminant, first investigated by Zagier in
connection with the Doi-Naganuma map and then by Kohnen and Zagier in
connection with the Shimura-Shintani lifts. We compute the Fourier coefficients
of these meromorphic modular forms and we show that they split into the sum of
a meromorphic modular form with computable algebraic Fourier coefficients and a
holomorphic cusp form.


title:
Pulsed Mid-infrared Radiation from Spectral Broadening in Laser
  Wakefield Simulations

abstract:
  Spectral red-shifting of high power laser pulses propagating through
underdense plasma can be a source of ultrashort mid-infrared (MIR) radiation.
During propagation, a high power laser pulse drives large amplitude plasma
waves, depleting the pulse energy. At the same time, the large amplitude plasma
wave provides a dynamic dielectric response that leads to spectral shifting.
The loss of laser pulse energy and the approximate conservation of laser pulse
action imply that spectral red-shifts accompany the depletion. In this paper,
we investigate, through simulation, the parametric dependence of MIR generation
on pulse energy, initial pulse duration, and plasma density.


title: Exotic Matter and Space-Time

abstract:
  Exotic forms of matter such as carbon nanofoams, hexalambdas,
super-hypernuclei, strange stars, pentaquarks, color-balls, etc. and their
relations to current problems in cosmo-particle physics such as dark matter and
energy are discussed in some details. This is an extended version of the
invited talk presented at the International Conference on New Trends in
High-Energy Physics , Yalta, Crimea(Ukraine), September 10-17, 2005, which has
been published in the Proceedings, edited by P.N.Bogolyubov, P.O.Fedosenko,
L.L.Jenkovszky, and Yu.A.Karpenko(Bogolyubov Institute for Theoretical Physics,
Kiev, 2005). In an extended and up-dated version of the Chapters I and III,
entitled "Exotic Nuclei and Strange Stars", which has been published in
Nonlinear Phenomena in Complex Systems 18(2015)25-30, new forms of matter such
as exotic nuclei and strange stars are discussed in some detail.


title: Broadband subwavelength focusing of light using a passive drain

abstract:
  Optical absorption is usually considered deleterious, something to avoid if
at all possible. We propose a broadband nanoabsorber that completely eliminates
the diffracting wave, resulting in a subwavelength enhancement of the field.
Broadband operation is made possible by engineering the dispersion of the
complex dielectric function. The local enhancement can be significantly
improved compared to the standard plane wave illumination of a metallic
nanoparticle. Our numerical simulation shows that an optical pulse as short as
6 fs can be focused to a 11 nm region. Not only the local field, but also its
gradient are greatly enhanced, pointing to applications in ultrafast nonlinear
spectroscopy, sensing and communication with deep-subwavelength resolution.


title:
Measurement of the D*(2010)+ meson width and the D*(2010)+ - D0 mass
  difference

abstract:
  We measure the mass difference, \Delta m_0, between the D*(2010)+ and the D0
and the natural line width, \Gamma, of the transition D*(2010)+ -> D0 pi+. The
data were recorded with the BABAR detector at center-of-mass energies at and
near the Upsilon(4S) resonance, and correspond to an integrated luminosity of
approximately 477 1/fb. The D0 is reconstructed in the decay modes D0 -> K- pi+
and D0 -> K- pi+ pi- pi+. For the decay mode D0 -> K- pi+ we obtain Gamma =
(83.4 +- 1.7 +- 1.5) keV and \Delta m_0 = (145 425.6 +- 0.6 +- 1.8) keV, where
the quoted errors are statistical and systematic, respectively. For the D0 ->
K- pi+ pi- pi+ mode we obtain \Gamma = (83.2 +- 1.5 +- 2.6) keV and \Delta m_0
= (145 426.6 +- 0.5 +- 2.0) keV. The combined measurements yield \Gamma = (83.3
+- 1.2 +- 1.4) keV and \Delta m_0 = (145 425.9 +- 0.4 +- 1.7) keV; the width is
a factor of approximately 12 times more precise than the previous value, while
the mass difference is a factor of approximately 6 times more precise.


title: Connected Components of Underlying Graphs of Halving Lines

abstract:
  In this paper we discuss the connected components of underlying graphs of
halving lines' configurations. We show how to create a configuration whose
underlying graph is the union of two given underlying graphs. We also prove
that every connected component of the underlying graph is itself an underlying
graph.


title:
On the periodic continued radicals of 2 and generalization for Vieta
  product

abstract:
  In this paper we study periodic continued radicals of 2. We show that any
periodic continued radicals of 2 converges to 2sin(q\pi), for some rational
number q depends on the continued radical. Furthermore we show that if r_n is a
periodic nested radicals of 2, which has n nested roots, then the limit points
of the sequence 2^n(2sin(q\pi)-r_n) have the form \alpha\pi, where \alpha is an
algebraic number. This result give a set of sub sequences converges to
\alpha\pi, for each \alpha . Also we show that limit of these sub sequences can
be represented as Vieta like nested radical products. Hence this result
generalizes the Vieta product for \pi. Several interesting examples are
illustrated.


title: Strongly solvable spaces

abstract:
  This work builds on the foundation laid by Gordon and Wilson in the study of
isometry groups of solvmanifolds, i.e. Riemannian manifolds admitting a
transitive solvable group of isometries. We restrict ourselves to a natural
class of solvable Lie groups called almost completely solvable; this class
includes the completely solvable Lie groups. When the commutator subalgebra
contains the center, we have a complete description of the isometry group of
any left-invariant metric using only metric Lie algebra information.
  Using our work on the isometry group of such spaces, we study quotients of
solvmanifolds. Our first application is to the classification of homogeneous
Ricci soliton metrics. We show that the verification of the Generalized
Alekseevsky Conjecture reduces to the simply-connected case. Our second
application is a generalization of a result of Heintze on the rigidity of
existence of compact quotients for certain homogeneous spaces. Heintze's result
applies to spaces with negative curvature. We remove all the geometric
requirements, replacing them with algebraic requirements on the homogeneous
structure.


title: On Integrating Deductive Synthesis and Verification Systems

abstract:
  We describe techniques for synthesis and verification of recursive functional
programs over unbounded domains. Our techniques build on top of an algorithm
for satisfiability modulo recursive functions, a framework for deductive
synthesis, and complete synthesis procedures for algebraic data types. We
present new counterexample-guided algorithms for constructing verified
programs. We have implemented these algorithms in an integrated environment for
interactive verification and synthesis from relational specifications. Our
system was able to synthesize a number of useful recursive functions that
manipulate unbounded numbers and data structures.


title: Goodwillie Calculi

abstract:
  The Goodwillie tower is based on the idea of approximating a functor F by a
series of functors satisfying the strong property of "n-excision". In this
dissertation, we study a weaker property of "n-additivity" and compare the two.
Theorem 9.1, one of the main results in this dissertation, establishes that if
$F$ is reasonably good, there is a fibration sequence with the fiber being the
realization of a simplicial space built from a cotriple made of iterated cross
effects and base space the "discrete" degree $n$ additive approximation to $F$.
We also relate the construction given to Goodwillie's construction, and give
conditions under which they coincide.


title:
An Interferometric Analysis Method for Radio Impulses from Ultra-high
  Energy Particle Showers

abstract:
  We present an interferometric technique for the reconstruction of ultra-wide
band impulsive signals from point sources. This highly sensitive method was
developed for the search for ultra-high energy neutrinos with the ANITA
experiment but is fully generalizable to any antenna array detecting radio
impulsive events. Applications of the interferometric method include event
reconstruction, thermal noise and anthropogenic background rejection, and solar
imaging for calibrations. We illustrate this technique with applications from
the analysis of the ANITA-I and ANITA-II data in the 200-1200 MHz band.


title: Mutualism and evolutionary multiplayer games: revisiting the Red King

abstract:
  Coevolution of two species is typically thought to favour the evolution of
faster evolutionary rates helping a species keep ahead in the Red Queen race,
where `it takes all the running you can do to stay where you are'. In contrast,
if species are in a mutualistic relationship, it was proposed that the Red King
effect may act, where it can be beneficial to evolve slower than the
mutualistic species. The Red King hypothesis proposes that the species which
evolves slower can gain a larger share of the benefits. However, the
interactions between the two species may involve multiple individuals. To
analyse such a situation, we resort to evolutionary multiplayer games. Even in
situations where evolving slower is beneficial in a two-player setting, faster
evolution may be favoured in a multiplayer setting. The underlying features of
multiplayer games can be crucial for the distribution of benefits. They also
suggest a link between the evolution of the rate of evolution and group size.


title: Informed and Automated k-Mer Size Selection for Genome Assembly

abstract:
  Genome assembly tools based on the de Bruijn graph framework rely on a
parameter k, which represents a trade-off between several competing effects
that are difficult to quantify. There is currently a lack of tools that would
automatically estimate the best k to use and/or quickly generate histograms of
k-mer abundances that would allow the user to make an informed decision.
  We develop a fast and accurate sampling method that constructs approximate
abundance histograms with a several orders of magnitude performance improvement
over traditional methods. We then present a fast heuristic that uses the
generated abundance histograms for putative k values to estimate the best
possible value of k. We test the effectiveness of our tool using diverse
sequencing datasets and find that its choice of k leads to some of the best
assemblies.
  Our tool KmerGenie is freely available at: http://kmergenie.bx.psu.edu/


title:
The Structure and Quantum Capacity of a Partially Degradable Quantum
  Channel

abstract:
  The quantum capacity of degradable quantum channels has been proven to be
additive. On the other hand, there is no general rule for the behavior of
quantum capacity for non-degradable quantum channels. We introduce the set of
partially degradable (PD) quantum channels to answer the question of additivity
of quantum capacity for a well-separable subset of non-degradable channels. A
quantum channel is partially degradable if the channel output can be used to
simulate the degraded environment state. PD channels could exist both in the
degradable, non-degradable and conjugate degradable family. We define the term
partial simulation, which is a clear benefit that arises from the structure of
the complementary channel of a PD channel. We prove that the quantum capacity
of an arbitrary dimensional PD channel is additive. We also demonstrate that
better quantum data rates can be achieved over a PD channel in comparison to
standard (non-PD) channels. Our results indicate that the partial degradability
property can be exploited and yet still hold many benefits for quantum
communications.


title:
Counting Permutations Modulo Pattern-Replacement Equivalences for
  Three-Letter Patterns

abstract:
  We study a family of equivalence relations on $S_n$, the group of
permutations on $n$ letters, created in a manner similar to that of the Knuth
relation and the forgotten relation. For our purposes, two permutations are in
the same equivalence class if one can be reached from the other through a
series of pattern-replacements using patterns whose order permutations are in
the same part of a predetermined partition of $S_c$.
  When the partition is of $S_3$ and has one nontrivial part and that part is
of size greater than two, we provide formulas for the number of classes created
in each previously unsolved case. When the partition is of $S_3$ and has two
nontrivial parts, each of size two (as do the Knuth and forgotten relations),
we enumerate the classes for $13$ of the $14$ unresolved cases. In two of these
cases, enumerations arise which are the same as those yielded by the Knuth and
forgotten relations. The reasons for this phenomenon are still largely a
mystery.


title:
Self-Organized Sociopolitical Interactions as the Best Way to Achieve
  Organized Patterns in Human Social Systems: Going Beyond the Top-Down Control
  of Classical Political Regimes

abstract:
  The dissertation extrapolates the theory of self-organization in biological
organisms to sociopolitical self-organization, in human social systems. It is
stated that the latter is the best way to organize human social systems, given
their complex nature and the impossibility of the computational dynamics that
classical political regimes must perform in order to, unsuccesfully, try to
organize human social systems by means of top-down control. Sociopolitical
self-organization is presented as the optimal producer of order in human social
systems, and it is claimed that anarchic complex networks are the resulting
structures.


title:
Equivalence Classes in $S_n$ for Three Families of Pattern-Replacement
  Relations

abstract:
  We study a family of equivalence relations on $S_n$, the group of
permutations on $n$ letters, created in a manner similar to that of the Knuth
relation and the forgotten relation. For our purposes, two permutations are in
the same equivalence class if one can be reached from the other through a
series of pattern-replacements using patterns whose order permutations are in
the same part of a predetermined partition of $S_c$. In particular, we are
interested in the number of classes created in $S_n$ by each relation and in
characterizing these classes.
  Imposing the condition that the partition of $S_c$ has one nontrivial part
containing the cyclic shifts of a single permutation, we find enumerations for
the number of nontrivial classes. When the permutation is the identity, we are
able to compare the sizes of these classes and connect parts of the problem to
Young tableaux and Catalan lattice paths.
  Imposing the condition that the partition has one nontrivial part containing
all of the permutations in $S_c$ beginning with 1, we both enumerate and
characterize the classes in $S_n$. We do the same for the partition that has
two nontrivial parts, one containing all of the permutations in $S_c$ beginning
with 1, and one containing all of the permutations in $S_c$ ending with 1.


title: Particularities of Analog FCS Optimization

abstract:
  There is analyzed a performance of optimal feedback communication systems
with the analog transmitters in the forward channel (AFCS). It is shown that
measures and limit boundaries of AFCS performance are similar but differ from
those used in digital communications and information theory. The causes of the
differences are discussed.


title:
General modal properties of optical resonances in subwavelength
  nonspherical dielectric structures

abstract:
  Subwavelength dielectric structures offer an attractive low loss alternative
to plasmonic structures for the development of resonant optics functionality
such as metamaterials. Nonspherical like rectangular structures are of most
interest from the standpoint of device development due to fabrication
convenience. However, no intuitive fundamental understanding of optical
resonance in nonspherical structures is available, which has substantially
delayed the device development with dielectric materials. Here we elucidate the
general fundamentals of optical resonances in nonspherical subwavelength
dielectric structures of different shapes (rectangular or triangular) and
dimensionalities (1D nanowires and 0D nanoparticles). We demonstrate that the
optical properties (i.e. light absorption) of nonspherical structures are
dictated by the eigenvalue of the structure's leaky modes. Leaky modes are
defined as natural optical modes with propagating waves outside the structure.
We also elucidate the dependence of the eigenvalue on physical features of the
structures. The eigenvalue shows scaling invariance with the overall size,
weakly relies on the refractive index, but linearly depends on the size ratio
of different sizes of the structure. We propose a modified Fabry-Perot model to
account for this linear dependence. Knowledge of the dominant role of leaky
modes and the dependence of leaky mode on physical features can serve as a
powerful guide for the rational design of devices with desired optical
resonances. It opens up a pathway to design devices with functionality that has
not been explored due to lack of intuitive understanding, for instance, imaging
devices able to sense incident angle, or superabsorbing photodetectors.


title: Fit and Vulnerable: Attacks and Defenses for a Health Monitoring Device

abstract:
  The fusion of social networks and wearable sensors is becoming increasingly
popular, with systems like Fitbit automating the process of reporting and
sharing user fitness data. In this paper we show that while compelling, the
integration of health data into social networks is fraught with privacy and
security vulnerabilities. Case in point, by reverse engineering the
communication protocol, storage details and operation codes, we identified
several vulnerabilities in Fitbit. We have built FitBite, a suite of tools that
exploit these vulnerabilities to launch a wide range of attacks against Fitbit.
Besides eavesdropping, injection and denial of service, several attacks can
lead to rewards and financial gains. We have built FitLock, a lightweight
defense system that protects Fitbit while imposing only a small overhead. Our
experiments on BeagleBoard and Xperia devices show that FitLock's end-to-end
overhead over Fitbit is only 2.4%.


title:
Use of research-based instructional strategies: how to avoid faculty
  quitting

abstract:
  We have examined the teaching practices of faculty members who adopted
research-based instructional strategies as part of the Carl Wieman Science
Education Initiative (CWSEI) at the University of British Columbia. Of the 70
that adopted such strategies with the support of the CWSEI program, only one
subsequently stopped using these strategies. This is a tiny fraction of the 33%
stopping rate for physics faculty in general [Henderson, Dancy, and
Niewiadomska-Bugaj, PRST-PER, 8, 020104 (2012)]. Nearly all of these UBC
faculty members who had an opportunity to subsequently use RBIS in other
courses (without CWSEI support) did so. We offer possible explanations for the
difference in quitting rates. The direct support of the faculty member by a
trained science education specialist in the discipline during the initial
implementation of the new strategies may be the most important factor.


title: Generalized cable theory for neurons in complex and heterogeneous media

abstract:
  Cable theory has been developed over the last decades, usually assuming that
the extracellular space around membranes is a perfect resistor. However,
extracellular media may display more complex electrical properties due to
various phenomena, such as polarization, ionic diffusion or capacitive effects,
but their impact on cable properties is not known. In this paper, we generalize
cable theory for membranes embedded in arbitrarily complex extracellular media.
We outline the generalized cable equations, then consider specific cases. The
simplest case is a resistive medium, in which case the equations recover the
traditional cable equations. We show that for more complex media, for example
in the presence of ionic diffusion, the impact on cable properties such as
voltage attenuation can be significant. We illustrate this numerically always
by comparing the generalized cable to the traditional cable. We conclude that
the nature of intracellular and extracellular media may have a strong influence
on cable filtering as well as on the passive integrative properties of neurons.


title: Comparison of post-Newtonian templates for extreme mass ratio inspirals

abstract:
  Extreme mass ratio inspirals (EMRIs), the inspirals of compact objects into
supermassive black holes, are important gravitational wave sources for the
Laser Interferometer Space Antenna (LISA). We study the performance of various
post-Newtonian (PN) template families relative to the high precision numerical
waveforms in the context of EMRI parameter estimation with LISA. Expressions
for the time domain waveforms TaylorT1, TaylorT2, TaylorT3, TaylorT4 and
TaylorEt are derived up to 22PN order, i.e $\mathcal{O}(v^{44})$ ($v$ is the
characteristic velocity of the binary) beyond the Newtonian term, for a test
particle in a circular orbit around a Schwarzschild black hole. The phase
difference between the above 22PN waveform families and numerical waveforms are
evaluated during two-year inspirals for two prototypical EMRI systems with mass
ratios $10^{-4}$ and $10^{-5}$. We find that the dephases (in radians) for
TaylorT1 and TaylorT2, respectively, are about $10^{-9}$ ($10^{-2}$) and
$10^{-9}$ ($10^{-3}$) for mass ratio $10^{-4}$ ($10^{-5}$). This suggests that
using 22PN TaylorT1 or TaylorT2 waveforms for parameter estimation of EMRIs
will result in accuracies comparable to numerical waveform accuracy for most of
the LISA parameter space. On the other hand, from the dephase results, we find
that TaylorT3, TaylorT4 and TaylorEt fare relatively poorly as one approaches
the last stable orbit. This implies that, as for comparable mass binaries using
the 3.5PN phase of waveforms, the 22PN TaylorT3 and TaylorEt approximants do
not perform well enough for the EMRIs. The reason underlying the poor
performance of TaylorT3, TaylorT4 and TaylorEt relative to TaylorT1 and
TaylorT2 is finally examined.


title: Bundles of spectra and algebraic K-theory

abstract:
  A parametrized spectrum E is a family of spectra E_x continuously
parametrized by the points x of a topological space X. We take the point of
view that a parametrized spectrum is a bundle-theoretic geometric object. When
R is a ring spectrum, we consider parametrized R-module spectra and show that
they give cocycles for the cohomology theory determined by the algebraic
K-theory K(R) of R in a manner analogous to the description of topological
K-theory K^0(X) as the Grothendieck group of vector bundles over X. We prove a
classification theorem for parametrized spectra, showing that parametrized
spectra over X whose fibers are equivalent to a fixed R-module M are classified
by homotopy classes of maps from X to the classifying space BAut_R(M) of the
A_\infty space of R-module equivalences from M to M. In proving the
classification theorem for parametrized spectra, we define of the notion of a
principal G fibration where G is an A_\infty space and prove a similar
classification theorem for principal G fibrations.


title:
Efficiency or fairness: managing applications with different delay
  sensitivities in heterogeneous wireless networks

abstract:
  In the current intensively changing technological environment, wireless
network operators try to manage the increase of global traffic, optimizing the
use of the available resources. This involves associating each user to one of
its reachable wireless networks; a decision that can be made on the user side,
in which case inefficiencies stem from user selfishness.
  This paper aims at correcting that efficiency loss through the use of a
one-dimensional incentive signal, interpreted as a price. While the so-called
Pigovian taxes allow to deal with homogeneous users, we consider here two
classes with different sensitivities to the Quality of Service, reflecting the
dichotomy between delay-sensitive and delay-insensitive applications. We
consider a geographic area covered by two wireless networks, among which users
choose based on a trade-off between the quality of service and the price to
pay.
  Using a non-atomic routing game model, we study analytically the case of
constant demand levels. We show that when properly designed, the incentives
elicit efficient user-network associations. Moreover, those optimal incentives
can be simply computed by the wireless operator, using only some information
that is easily available. Finally, the performance of the incentive scheme
under dynamic demand (users opening and closing connections over time) are
investigated through simulations, our incentive scheme also yielding
significant improvements in that case.


title: Analytic Feature Selection for Support Vector Machines

abstract:
  Support vector machines (SVMs) rely on the inherent geometry of a data set to
classify training data. Because of this, we believe SVMs are an excellent
candidate to guide the development of an analytic feature selection algorithm,
as opposed to the more commonly used heuristic methods. We propose a
filter-based feature selection algorithm based on the inherent geometry of a
feature set. Through observation, we identified six geometric properties that
differ between optimal and suboptimal feature sets, and have statistically
significant correlations to classifier performance. Our algorithm is based on
logistic and linear regression models using these six geometric properties as
predictor variables. The proposed algorithm achieves excellent results on high
dimensional text data sets, with features that can be organized into a handful
of feature types; for example, unigrams, bigrams or semantic structural
features. We believe this algorithm is a novel and effective approach to
solving the feature selection problem for linear SVMs.


title:
Regulation of dispersion of carbon nanotubes in a mixture of good and
  bad solvents

abstract:
  The microstructure and electrical conductivity of suspensions of multi-walled
carbon nanotubes (MWCNTs) in binary liquid mixtures
water-1-Cyclohexyl-2-pyrrolidone (CHP) were studied in the heating and cooling
cycles. The concentration of MWCNTs was varied in the interval between 0-1 wt.%
and the content of water in a binary mixture X = [water]/([CHP]+[water]) was
varied within 0-1.0. The experimental data have shown that dispersing quality
of MWCNTs in a mixture of good (CHP) and bad (water) solvents may be finely
regulated by adjustment of composition of the CHP+ water mixtures. The
aggregation ability of MWCNTs in dependence on X was discussed. The surface of
MWCNT clusters was highly tortuous, its fractal dimension df increased with
increase of X, approaching -> 1.9 at X->1. It was concluded that the surface
tension is not suitable characteristic for prediction of dispersion ability in
the mixture of good and bad solvents. The electrical conductivity data
evidenced the presence of a fuzzy-type percolation with multiple thresholds in
the systems under investigation. This behavior was explained by formation of
different percolation networks in dependence of MWCNT concentration.


title:
Geometric phase of two-level atoms and thermal nature of de Sitter
  spacetime

abstract:
  In the framework of open quantum systems, we study the geometric phase
acquired by freely falling and static two-level atoms interacting with
quantized conformally coupled massless scalar fields in de Sitter-invariant
vacuum. We find that, for the freely falling atom, the geometric phase gets a
correction resulting from a thermal bath with the Gibbons-Hawking temperature,
thus it clearly reveals the intrinsic thermal nature of de Sitter spacetime
from a different physical context. For the static atom, there is a correction
to the geometric phase coming from both the intrinsic thermal nature of de
Sitter spacetime and the Unruh effect associated with the proper acceleration
of the atom. Furthermore, in a gedanken experiment, we estimate the magnitude
of the correction to the geometric phase as opposed to that in a flat
spacetime. We find that the correction for the freely falling atom is too tiny
to be measured, and that for the static atom achieves an observable magnitude
only when the atom almost locates at the horizon.


title:
Electro-stimulation of Saccharomyces cerevisiae wine yeasts by Pulsed
  Electric Field and its effect on fermentation performance

abstract:
  The batch fermentation process, inoculated by pulsed electric field (PEF)
treated wine yeasts (S. cerevisiae Actiflore F33), was studied. PEF treatment
was applied to the aqueous yeast suspensions (0.12 % wt.) at the electric field
strengths of E=100 and 6000 V/cm using the same pulse protocol (number of
pulses of n=1000, pulse duration of ti=100 mks, and pulse repetition time of
dt=100 ms). Electro-stimulation was confirmed by the observed growth of
electrical conductivity of suspensions. The fermentation was running at
30{\deg}C for 150 hours in an incubator with synchronic agitation. The obtained
results clearly evidence the positive impact of PEF treatment on the batch
fermentation process. Electro-stimulation resulted in improvement of such
process characteristics as mass losses, consumption of soluble matter content
({\deg}Brix) and synthesis of proteins. It also resulted in a noticeable
acceleration of consumption of sugars at the initial stage of fermentation in
the lag phase. At the end of the lag phase (t=40 hours), consumption of
fructose in samples with electrically activated inocula exceeded fructose
consumption in samples with control inocula by 2.33 times when it was activated
at E=100 V/cm and by 3.98 times after treatment at E=6000 V/cm. At the end of
the log phase (120 hours of fermentation), 30% mass reduction was reached in
samples with PEF-treated inocula (E=6000 V/cm), whereas the same mass reduction
of the control sample required approximately, 20 hours of extra fermentation.
The possible mechanisms of electro-stimulation are also discussed in details.


title: Metric Entropy of Nonautonomous Dynamical Systems

abstract:
  We introduce the notion of metric entropy for a nonautonomous dynamical
system given by a sequence of probability spaces and a sequence of
measure-preserving maps between these spaces. This notion generalizes the
classical concept of metric entropy established by Kolmogorov and Sinai, and is
related via a variational inequality to the topological entropy of
nonautonomous systems as defined by Kolyada, Misiurewicz and Snoha. Moreover,
it shares several properties with the classical notion of metric entropy. In
particular, invariance with respect to appropriately defined isomorphisms, a
power rule, and a Rokhlin-type inequality are proved.


title: Around cofin

abstract:
  We show the consistency of "there is a nice sigma --ideal I on the reals with
add(I)= omega_1 which cannot be represented as the union of a strictly
increasing sequence of length omega_1 of sigma-subideals". This answers a
question by Borodulin-Nadzieja and Glab.


title: Mod 2 homology for GL(4) and Galois representations

abstract:
  We extend the computations in [AGM4] to find the mod 2 homology in degree 1
of a congruence subgroup Gamma of SL(4,Z) with coefficients in the sharbly
complex, along with the action of the Hecke algebra. This homology group is
closely related to the cohomology of Gamma with F_2 coefficients in the top
cuspidal degree. These computations require a modification of the algorithm to
compute the action of the Hecke operators, whose previous versions required
division by 2. We verify experimentally that every mod 2 Hecke eigenclass found
appears to have an attached Galois representation, giving evidence for a
conjecture in [AGM4]. Our method of computation was justified in [AGM5].


title:
The description of phase transition in a black hole with conformal
  anomaly in the Ehrenfest's scheme

abstract:
  We make use of the Ehrenfest's equation to explore the phase transition of a
black hole with conformal anomaly. The first order phase transition is ruled
out because no discontinuity appears in entropy of the black holes. We find
that the phase transition of black holes belong to the second order subject to
the Ehrenfest's equations. Further we also show that the second order phase
transition will not happen for the black holes without conformal anomaly.


title:
The calculation of the thermodynamic quantities of the Bardeen black
  hole

abstract:
  In this work we research on the thermodynamical properties of the Bardeen
black holes. We compute the series of new thermodynamic quantities such as
local temperature, heat capacity, off-shell free energy of this kind of black
hole in detail. We further analyze the thermodynamical characteristics of the
Bardeen black hole by varying its charge $q$ to check the existence and
stability of the black hole.


title:
On the Cauchy problem for backward stochastic partial differential
  equations in H\"{o}lder spaces

abstract:
  This paper is concerned with solution in H\"{o}lder spaces of the Cauchy
problem for linear and semi-linear backward stochastic partial differential
equations (BSPDEs) of super-parabolic type. The pair of unknown variables are
viewed as deterministic spatial functionals which take values in Banach spaces
of random (vector) processes. We define suitable functional H\"{o}lder spaces
for them and give some inequalities among these H\"{o}lder norms. The
existence, uniqueness as well as the regularity of solutions are proved for
BSPDEs, which contain new assertions even on deterministic PDEs.


title:
A Framework for Reproducible, Interactive Research: Application to
  health and social sciences

abstract:
  The aim of this article is to introduce a reporting framework for
reproducible, interactive research applied to Big Clinical Data, based on open
source technologies. The framework is constituted by the following three axes:
(i) data, (ii) analytical codes and (iii) dissemination. In this paper,
different documentation formats and online repositories are introduced. To
integrate and manage the reproducible contents, we propose the R Language as
the tool of choice. All the information is then published and gathered in a
website for different projects. This framework is free and user friendly and is
proposed to enhance reproducibility of health-science reports.


title:
A 'Dysonization' Scheme for Identifying Particles and Quasi-Particles
  Using Non-Hermitian Quantum Mechanics

abstract:
  In 1956 Dyson analyzed the low-energy excitations of a ferromagnet using a
Hamiltonian that was non-Hermitian with respect to the standard inner product.
This allowed for a facile rendering of these excitations (known as spin waves)
as weakly interacting bosonic quasi-particles. More than 50 years later, we
have the full denouement of non-Hermitian quantum mechanics formalism at our
disposal when considering Dyson's work, both technically and contextually. Here
we recast Dyson's work on ferromagnets explicitly in terms of two inner
products, with respect to which the Hamiltonian is always self-adjoint, if not
manifestly "Hermitian". Then we extend his scheme to doped antiferromagnets
described by the t-J model, in hopes of shedding light on the physics of
high-temperature superconductivity.


title:
Universality for the largest eigenvalue of sample covariance matrices
  with general population

abstract:
  This paper is aimed at deriving the universality of the largest eigenvalue of
a class of high-dimensional real or complex sample covariance matrices of the
form $\mathcal{W}_N=\Sigma^{1/2}XX^*\Sigma ^{1/2}$. Here, $X=(x_{ij})_{M,N}$ is
an $M\times N$ random matrix with independent entries $x_{ij},1\leq i\leq
M,1\leq j\leq N$ such that $\mathbb{E}x_{ij}=0$, $\mathbb{E}|x_{ij}|^2=1/N$. On
dimensionality, we assume that $M=M(N)$ and $N/M\rightarrow d\in(0,\infty)$ as
$N\rightarrow\infty$. For a class of general deterministic positive-definite
$M\times M$ matrices $\Sigma$, under some additional assumptions on the
distribution of $x_{ij}$'s, we show that the limiting behavior of the largest
eigenvalue of $\mathcal{W}_N$ is universal, via pursuing a Green function
comparison strategy raised in [Probab. Theory Related Fields 154 (2012)
341-407, Adv. Math. 229 (2012) 1435-1515] by Erd\H{o}s, Yau and Yin for Wigner
matrices and extended by Pillai and Yin [Ann. Appl. Probab. 24 (2014) 935-1001]
to sample covariance matrices in the null case ($\Sigma=I$). Consequently, in
the standard complex case ($\mathbb{E}x_{ij}^2=0$), combing this universality
property and the results known for Gaussian matrices obtained by El Karoui in
[Ann. Probab. 35 (2007) 663-714] (nonsingular case) and Onatski in [Ann. Appl.
Probab. 18 (2008) 470-490] (singular case), we show that after an appropriate
normalization the largest eigenvalue of $\mathcal{W}_N$ converges weakly to the
type 2 Tracy-Widom distribution $\mathrm{TW}_2$. Moreover, in the real case, we
show that when $\Sigma$ is spiked with a fixed number of subcritical spikes,
the type 1 Tracy-Widom limit $\mathrm{TW}_1$ holds for the normalized largest
eigenvalue of $\mathcal {W}_N$, which extends a result of F\'{e}ral and
P\'{e}ch\'{e} in [J. Math. Phys. 50 (2009) 073302] to the scenario of
nondiagonal $\Sigma$ and more generally distributed $X$.


title:
Can the supermassive objects at the centers of galaxies be traversable
  wormholes? The first test of strong gravity for mm/sub-mm VLBI facilities

abstract:
  The near future mm/sub-mm VLBI experiments are ambitious projects aiming at
imaging the "shadow" of the supermassive black hole candidate at the center of
the Milky Way and of the ones in nearby galaxies. An accurate observation of
the shape of the shadow can potentially test the nature of these objects and
verify if they are Kerr black holes, as predicted by general relativity.
However, previous work on the subject has shown that the shadows produced in
other spacetimes are very similar to the one of the Kerr background, suggesting
that tests of strong gravity are not really possible with these facilities in
the near future. In this work, I instead point out that it will be relatively
easy to distinguish black holes from wormholes, topologically non-trivial
structures of the spacetime that might have been formed in the early Universe
and might connect our Universe with other universes.


title: Vector Models in PT Quantum Mechanics

abstract:
  We present two examples of non-Hermitian Hamiltonians which consist of an
unperturbed part plus a perturbation that behaves like a vector, in the
framework of PT quantum mechanics. The first example is a generalization of the
recent work by Bender and Kalveks, wherein the E2 algebra was examined; here we
consider the E3 algebra representing a particle on a sphere, and identify the
critical value of coupling constant which marks the transition from real to
imaginary eigenvalues. Next we analyze a model with SO(3) symmetry, and in the
process extend the application of the Wigner-Eckart theorem to a non-Hermitian
setting.


title: Topological Insulator Materials

abstract:
  Topological insulators represent a new quantum state of matter which is
characterized by peculiar edge or surface states that show up due to a
topological character of the bulk wave functions. This review presents a
pedagogical account on topological insulator materials with an emphasis on
basic theory and materials properties. After presenting a historical
perspective and basic theories of topological insulators, it discusses all the
topological insulator materials discovered as of May 2013, with some
illustrative descriptions of the developments in materials discoveries in which
the author was involved. A summary is given for possible ways to confirm the
topological nature in a candidate material. Various synthesis techniques as
well as the defect chemistry that are important for realizing bulk-insulating
samples are discussed. Characteristic properties of topological insulators are
discussed with an emphasis on transport properties. In particular, the Dirac
fermion physics and the resulting peculiar quantum oscillation patterns are
discussed in detail. It is emphasized that proper analyses of quantum
oscillations make it possible to unambiguously identify surface Dirac fermions
through transport measurements. The prospects of topological insulator
materials for elucidating novel quantum phenomena that await discovery conclude
the review.

categories: cond-mat.mtrl-sci cond-mat.mes-hall cond-mat.str-el cond-mat.supr-con


title:
On the weak solutions to the Maxwell-Landau-Lifshitz equations and to
  the Hall-Magneto-Hydrodynamic equations

abstract:
  In this paper we deal with weak solutions to the Maxwell-Landau-Lifshitz
equations and to the Hall-Magneto-Hydrodynamic equations. First we prove that
these solutions satisfy some weak-strong uniqueness property. Then we
investigate the validity of energy identities. In particular we give a
sufficient condition on the regularity of weak solutions to rule out anomalous
dissipation. In the case of the Hall-Magneto-Hydrodynamic equations we also
give a sufficient condition to guarantee the magneto-helicity identity. Our
conditions correspond to the same heuristic scaling as the one introduced by
Onsager in hydrodynamic theory. Finally we examine the sign, locally, of the
anomalous dissipations of weak solutions obtained by some natural approximation
processes.


title:
Carleman Estimate and Inverse Source Problem for Biot's Equations
  Describing Wave Propagation in Porous Media

abstract:
  According to Biot's paper in 1956, by using the Lagrangian equations in
classical mechanics, we consider a problem of the filtration of a liquid in
porous elastic-deformation media whose mechanical behavior is described by the
Lam'e system coupled with a hyperbolic equation. Assuming the null surface
displacement on the whole boundary, we discuss an inverse source problem of
determining a body force only by observation of surface traction on a suitable
subdomain along a sufficiently large time interval. Our main result is a
H\"older stability estimate for the inverse source problem, which is proved by
a new Carleman estimat for Biot's system.


title:
Fluctuations of the power variation of fractional Brownian motion in
  Brownian time

abstract:
  We study the fluctuations of the power variation of fractional Brownian
motion in Brownian time


title:
Universal and exotic generalized fixed-point algebras for weakly proper
  actions and duality

abstract:
  Given a C*-dynamical system (A,G,\alpha), we say that A is a weakly proper
(X\rtimes G)-algebra if there exists a proper G-space X together with a
nondegenerate G-equivariant *-homomorphism \phi:C_0(X)->M(A). Weakly proper
G-algebras form a large subclass of the class of proper G-algebras in the sense
of Rieffel. In this paper we show that weakly proper (X\rtimes G)-algebras
allow the construction of full fixed-point algebras A^G corresponding to the
full crossed product A\rtimes_{\alpha}G, thus solving, in this setting, a
problem stated by Rieffel in his 1988's original article on proper actions. As
an application we obtain a general Landstad duality result for arbitrary
coactions together with a new and functorial construction of maximalizations of
coactions.
  The same methods also allow the construction of exotic generalized
fixed-point algebras associated to crossed-product norms lying between the
reduced and universal ones. Using these, we give complete answers to some
questions on duality theory for exotic crossed products recently raised by
Kaliszewski, Landstad and Quigg.


title: Liouvillian Propagators, Riccati Equation and Differential Galois Theory

abstract:
  In this paper a Galoisian approach to build propagators through Riccati
equations is presented. The main result corresponds to the relationship between
the Galois integrability of the linear Schr\"odinger equation and the virtual
solvability of the differential Galois group of its associated characteristic
equation. As main application of this approach we solve the Ince's differential
equation through Hamiltonian Algebrization procedure and Kovacic Algorithm to
find the propagator for a generalized harmonic oscillator that has applications
describing the process of degenerate parametric amplification in quantum optics
and the description of the light propagation in a nonlinear anisotropic
waveguide. Toy models of propagators inspired by integrable Riccati equations
and integrable characteristic equations are also presented.


title:
Equivalent Generic Forms for Metric Fields Yielded by Relativistic
  Positioning Systems

abstract:
  Relativistic positioning systems provide tensors represented in
$\{\ell\ell\ell\ell\}$-frames ($\ell$ for light) dual to systems of emission
coordinates. We show that any Lorentzian metric field given in such a frame is
isometrically equivalent to a generic metric field defined by only four
positive functions depending on another specific system of emission
coordinates.


title:
Guiding Blind Transmitters: Degrees of Freedom Optimal Interference
  Alignment Using Relays

abstract:
  Channel state information (CSI) at the transmitters (CSIT) is of importance
for interference alignment schemes to achieve the optimal degrees of freedom
(DoF) for wireless networks. This paper investigates the impact of half-duplex
relays on the degrees of freedom (DoF) of the X channel and the interference
channel when the transmitters are blind in the sense that no ISIT is available.
In particular, it is shown that adding relay nodes with global CSI to the
communication model is sufficient to recover the DoF that is the optimal for
these models with global CSI at the transmitters. The relay nodes in essence
help steer the directions of the transmitted signals to facilitate interference
alignment to achieve the optimal DoF with CSIT. The general MxN X channel with
relays and the K-user interference channel are both investigated, and
sufficient conditions on the number of antennas at the relays and the number of
relays needed to achieve the optimal DoF with CSIT are established. Using
relays, the optimal DoF can be achieved in finite channel uses. The DoF for the
case when relays only have delayed CSI is also investigated, and it is shown
that with delayed CSI at the relay the optimal DoF with full CSIT cannot be
achieved. Special cases of the X channel and interference channel are
investigated to obtain further design insights.


title:
The temporal evolution of the kinetic drift-Alfven instability of plasma
  shear flow

abstract:
  The linear non-modal kinetic theory of the kinetic drift-Alfven instability
of plasma shear flows reveals the temporal non-modal growth with growing with
time growth rate. The turbulent scattering of the sheared modes on ions
accelerates this growth. The instability ceases its growth when the coupling of
the drift and Alfven waves violates due to the changing with time frequencies
of the drift and Alfven waves in shear flow.


title: Tree Compression with Top Trees

abstract:
  We introduce a new compression scheme for labeled trees based on top trees.
Our compression scheme is the first to simultaneously take advantage of
internal repeats in the tree (as opposed to the classical DAG compression that
only exploits rooted subtree repeats) while also supporting fast navigational
queries directly on the compressed representation. We show that the new
compression scheme achieves close to optimal worst-case compression, can
compress exponentially better than DAG compression, is never much worse than
DAG compression, and supports navigational queries in logarithmic time.


title:
Self-Assembly of Colloidal Superstructures in Coherently Fluctuating
  Fields

abstract:
  From microscopic fluid clusters to macroscopic droplets, the structure of
fluids is governed by the Van der Waals force, a force that acts between
polarizable objects. In this Letter, we derive a general theory that describes
the non-equilibrium counterpart to the Van der Waals force, which emerges in
spatially coherently fluctuating electromagnetic fields. We describe the
formation of a novel and complex hierarchy of self-organized morphologies in
magnetic and dielectric colloid systems. Most striking among these morphologies
are dipolar foams - colloidal superstructures that swell against gravity and
display a high sensitivity to the applied field. We discuss the dominance of
many body forces and derive the equation of state for a material formed by the
coherent Van der Waals force. Our theory is applied to recent experiments in
paramagnetic colloidal systems and a new experiment is suggested to test the
theory.


title:
Cohomology of the de Rham complex twisted by the oscillatory
  representation

abstract:
  We introduce a Hilbert $A$-module structure on the higher oscillatory module,
where $A$ denotes the $C^*$-algebra of bounded endomorphisms of the basic
oscillatory module. We also define the notion of an exterior covariant
derivative in an $A$-Hilbert bundle and use it for a construction of an
$A$-elliptic complex of differential operators for certain symplectic manifolds
equipped with a symplectic connection.


title: A novice looks at emotional cognition

abstract:
  Modeling emotional-cognition is in a nascent stage and therefore wide-open
for new ideas and discussions. In this paper the author looks at the modeling
problem by bringing in ideas from axiomatic mathematics, information theory,
computer science, molecular biology, non-linear dynamical systems and quantum
computing and explains how ideas from these disciplines may have applications
in modeling emotional-cognition.


title: Calculation and analysis of solitary waves and kinks in elastic tubes

abstract:
  The paper is devoted to analysis of different models that describe waves in
fluid-filled and gas-filled elastic tubes and development of methods of
calculation and numerical analysis of solutions with solitary waves and kinks
for these models. Membrane model and plate model are used for tube. Two types
of solitary waves are found. One-parametric families are stable and may be used
as shock structures. Null-parametric solitary waves are unstable. The process
of split of such solitary waves is investigated. It may lead to appearance of
solutions with kinks. Kink solutions are null-parametric and stable. General
theory of reversible shocks is used for analysis of numerical solutions.


title: A survey on the skew energy of oriented graphs

abstract:
  Let $G$ be a simple undirected graph with adjacency matrix $A(G)$. The energy
of $G$ is defined as the sum of absolute values of all eigenvalues of $A(G)$,
which was introduced by Gutman in 1970s. Since graph energy has important
chemical applications, it causes great concern and has many generalizations.
The skew energy and skew energy-like are the generalizations in oriented
graphs. Let $G^\sigma$ be an oriented graph of $G$ with skew adjacency matrix
$S(G^\sigma)$. The skew energy of $G^\sigma$, denoted by
$\mathcal{E}_S(G^\sigma)$, is defined as the sum of the norms of all
eigenvalues of $S(G^\sigma)$, which was introduced by Adiga, Balakrishnan and
So in 2010. In this paper, we summarize main results on the skew energy of
oriented graphs. Some open problems are proposed for further study. Besides,
results on the skew energy-like: the skew Laplacian energy and skew Randi\'{c}
energy are also surveyed at the end.


title: Pentagram Spirals

abstract:
  We introduce a geometric construction which relates to the pentagram map much
in the way that a logarithmic spiral relates to a circle. After introducing the
construction, we establish some basic geometric facts about it, and speculate
on some of the deeper algebraic structure, such as the complete integrability
of the associated dynamical system.


title: Logarithmic Bundles Of Hypersurface Arrangements In P^n

abstract:
  Let D = {D_{1},...,D_{l}} be an arrangement of smooth hypersurfaces with
normal crossings on the complex projective space P^n and let
\Omega^{1}_{P^n}(log D) be the logarithmic bundle attached to it. Following
[1], we show that \Omega^{1}_{P^n}(log D) admits a resolution of lenght 1 which
explicitly depends on the degrees and on the equations of D_{1},...,D_{l}. Then
we prove a Torelli type theorem when all the D_{i}'s have the same degree d and
l >= {{n+d} \choose {d}}+3: indeed, we recover the components of D as unstable
smooth hypersurfaces of \Omega^{1}_{P^n}(log D). Finally we analyze the cases
of one quadric and a pair of quadrics, which yield examples of non-Torelli
arrangements. In particular, through a duality argument, we prove that two
pairs of quadrics have isomorphic logarithmic bundles if and only if they have
the same tangent hyperplanes.


title: Mutation and Chaos in Nonlinear Models of Heredity

abstract:
  In this short communication, we shall explore a nonlinear discrete dynamical
system that naturally occurs in population systems to describe a transmission
of a trait from parents to their offspring. We consider a Mendelian inheritance
for a single gene with three alleles and assume that to form a new generation,
each gene has a possibility to mutate, that is, to change into a gene of the
other kind. We investigate the derived models. A numerical simulation assists
us to get some clear picture about chaotic behaviors of such models.


title: ADE subalgebras of the triplet vertex algebra W(p): D_m-series

abstract:
  We are continuing our study of ADE-orbifold subalgebras of the triplet vertex
algebra W(p). This part deals with the dihedral series. First, subject to a
certain constant term identity, we classify all irreducible modules for the
vertex algebra $\bar{M(1)} ^+$, the $\Z_2$--orbifold of the singlet vertex
algebra $\bar{M(1)}$. Then we classify irreducible modules and determine Zhu's
and $C_2$--algebra for the vertex algebra $\triplet ^{D_2}$. A general method
for construction of twisted $\triplet$--modules is also introduced. We also
discuss classification of twisted $\bar{M(1)}$--modules including the twisted
Zhu's algebra $A_{\Psi} (\bar{M(1)})$, which is of independent interest. The
category of admissible $\Psi$-twisted $\bar{M(1)}$-modules is expected to be
semisimple. We also prove $C_2$-cofiniteness of $\triplet^{D_m}$ for all $m$,
and give a conjectural list of irreducible $\triplet^{D_m}$-modules. Finally,
we compute characters of the relevant irreducible modules and describe their
modular closure.


title: Conformal restriction: the radial case

abstract:
  We describe all random sets that satisfy the radial conformal restriction
property, therefore providing the analogue in the radial case of results of
Lawler, Schramm and Werner in the chordal case.


title: APOSTLE: Longterm Transit Monitoring and Stability Analysis of XO-2b

abstract:
  The Apache Point Survey of Transit Lightcurves of Exoplanets (APOSTLE)
observed 10 transits of XO-2b over a period of three years. We present
measurements which confirm previous estimates of system parameters like the
normalized semi-major axis (a/R_{*}), stellar density (\rho_{*}), impact
parameter (b) and orbital inclination (i_{orb}). Our errors on system
parameters like a/R_{*} and \rho_{*} have improved by ~40% compared to previous
best ground-based measurements. Our study of the transit times show no evidence
for transit timing variations and we are able to rule out co-planar companions
with masses \ge 0.20 \mearth\ in low order mean motion resonance with XO-2b. We
also explored the stability of the XO-2 system given various orbital
configurations of a hypothetical planet near the 2:1 mean motion resonance. We
find that a wide range of orbits (including Earth-mass perturbers) are both
dynamically stable and produce observable TTVs. We find that up to 51% of our
stable simulations show TTVs that are smaller than the typical transit timing
errors (~20 sec) measured for XO-2b, and hence remain undetectable.


title:
On the structure and syntactic complexity of generalized definite
  languages

abstract:
  We give a forbidden pattern characterization for the class of generalized
definite languages, show that the corresponding problem is NL-complete and can
be solved in quadratic time. We also show that their syntactic complexity
coincides with that of the definite languages and give an upper bound of n! for
this measure.


title:
The distribution of second degrees in the Buckley-Osthus random graph
  model

abstract:
  In this paper we consider a well-known generalization of the Barab\'asi and
Albert preferential attachment model - the Buckley-Osthus model. Buckley and
Osthus proved that in this model the degree sequence has a power law
distribution. As a natural (and arguably more interesting) next step, we study
the second degrees of vertices. Roughly speaking, the second degree of a vertex
is the number of vertices at distance two from this vertex. The distribution of
second degrees is of interest because it is a good approximation of PageRank,
where the importance of a vertex is measured by taking into account the
popularity of its neighbors.
  We prove that the second degrees also obey a power law. More precisely, we
estimate the expectation of the number of vertices with the second degree
greater than or equal to k and prove the concentration of this random variable
around its expectation using the now-famous Talagrand's concentration
inequality over product spaces. As far as we know this is the only application
of Talagrand's inequality to random web graphs, where the (preferential
attachment) edges are not defined over a product distribution, making the
application nontrivial, and requiring certain novelty.


title:
Integer Quantum Hall State in Two-Component Bose Gases in a Synthetic
  Magnetic Field

abstract:
  We study two-component (or pseudospin-1/2) Bose gases in a strong synthetic
magnetic field. Using exact diagonalization, we show that a bosonic analogue of
an integer quantum Hall state with no intrinsic topological order appears at
the total filling factor \nu=1+1 when the strengths of intracomponent and
intercomponent interactions are comparable with each other. This provides a
prime example of a symmetry-protected topological phase in a controlled setting
of quantum gases. The real-space entanglement spectrum of this state is found
to be comprised of counter-propagating chiral modes consistent with the edge
theory derived from the effective Chern-Simons theory.


title:
The XMM-Newton deep survey in the Chandra Deep Field South. III. Point
  source catalogue and number counts in the hard X-rays

abstract:
  (abridged) The XMM-Newton survey in the Chandra Deep Field South (XMM-CDFS)
aims at detecting and studying the spectral properties of a significant number
of obscured and Compton-thick AGN. The large effective area of XMMin the 2--10
and 5--10 keV bands, coupled with a 3.45 Ms nominal exposure time, allows us to
build clean samples in both bands, and makes the XMM-CDFS the deepest XMM
survey currently published in the 5--10 keV band. The large multi-wavelength
and spectroscopic coverage of the CDFS area allows for an immediate and
abundant scientific return. We present the data reduction of the XMM-CDFS
observations, the method for source detection in the 2--10 and 5--10keV bands,
and the resulting catalogues. A number of 339 and 137 sources are listed in the
above bands with flux limits of 6.6e-16 and 9.5e-16 erg/s/cm^2, respectively.
The flux limits at 50% of the maximum sky coverage are 1.8e-15 and 4.0e-15
erg/s/cm^2, respectively. The catalogues have been cross-correlated with the
Chandra ones: 315 and 130 identifications have been found with a
likelihood-ratio method, respectively. A number of 15 new sources, previously
undetected by Chandra, is found; 5 of them lie in the 4 Ms area. Redshifts,
either spectroscopic or photometric, are available for ~92% of the sources. The
number counts in both bands are presented and compared to other works. The
survey coverage has been calculated with the help of two extensive sets of
simulations, one set per band. The simulations have been produced with a
newly-developed simulator, written with the aim of the most careful
reproduction of the background spatial properties. We present a detailed
decomposition of the XMM background into its components: cosmic, particle, and
residual soft protons.


title: Nature of the gas and dust around 51 Oph

abstract:
  Circumstellar disc evolution is paramount for the understanding of planet
formation. The GASPS program aims at determining the circumstellar gas and
solid mass around ~250 pre-main-sequence Herbig Ae and TTauri stars. We aim to
understand the origin and nature of the circumstellar matter orbiting 51 Oph, a
young (<1 Myr) luminous B9.5 star. We obtained continuum and line observations
with the PACS instrument on board the Herschel Space Observatory and continuum
data at 1.2 mm with the IRAM 30m telescope. The SED and line fluxes were
modelled using the physico-chemo radiative transfer code ProDiMo. We detected a
strong emission by OI at 63 microns using the Herschel Space Observatory. The
[OI] emission at 145 microns, the [CII] emission at 158 microns, the high-J CO
emissions, and the warm water emissions were not detected. Continuum emission
was detected at 1.2 mm. The continuum from the near- to the far-infrared and
the [OI] emission are well explained by the emission from a compact hydrostatic
disc model with a gas mass of 5E-6 MSun, 100 times that of the solid mass.
However, this model fails to match the continuum millimeter flux, which hints
at a cold outer disc with a mass in solids of 1E-6 MSun or free-free emission
from a photoevaporative disc wind. This outer disc can either be devoid of gas
and/or is to cold to emit in the [OI] line. A very flat extended disc model
(Rout=400 AU) with a fixed vertical structure and dust settling matches all
photometric points and most of the [O I] flux. The observations can be
explained by an extended flat disc where dust grains have settled. However, a
flat gas disc cannot be reproduced by hydrostatic disc models. The low mass of
the 51 Oph inner disc in gas and dust may be explained either by the fast
dissipation of an initial massive disc or by a very small initial disc mass.


title: Synchronous Counting and Computational Algorithm Design

abstract:
  Consider a complete communication network on $n$ nodes, each of which is a
state machine. In synchronous 2-counting, the nodes receive a common clock
pulse and they have to agree on which pulses are "odd" and which are "even". We
require that the solution is self-stabilising (reaching the correct operation
from any initial state) and it tolerates $f$ Byzantine failures (nodes that
send arbitrary misinformation). Prior algorithms are expensive to implement in
hardware: they require a source of random bits or a large number of states.
  This work consists of two parts. In the first part, we use computational
techniques (often known as synthesis) to construct very compact deterministic
algorithms for the first non-trivial case of $f = 1$. While no algorithm exists
for $n < 4$, we show that as few as 3 states per node are sufficient for all
values $n \ge 4$. Moreover, the problem cannot be solved with only 2 states per
node for $n = 4$, but there is a 2-state solution for all values $n \ge 6$.
  In the second part, we develop and compare two different approaches for
synthesising synchronous counting algorithms. Both approaches are based on
casting the synthesis problem as a propositional satisfiability (SAT) problem
and employing modern SAT-solvers. The difference lies in how to solve the SAT
problem: either in a direct fashion, or incrementally within a counter-example
guided abstraction refinement loop. Empirical results suggest that the former
technique is more efficient if we want to synthesise time-optimal algorithms,
while the latter technique discovers non-optimal algorithms more quickly.


title: The representations of quivers of type A_n. A fast approach

abstract:
  It is well-known that a quiver Q of type A_n is representation-finite, and
that its indecomposable representations are thin (all Jordan-Hoelder
multiplicities are 0 or 1). By now, various methods of proof are known. The aim
of this note is to provide a straight-forward arrangement of possible arguments
in order to avoid indices and clumsy inductive considerations, but also
avoiding somewhat fancy tools such as the Bernstein-Gelfand-Ponomarev
reflection functors or bilinear forms and root systems. The proof we present
deals with representations in general, not only finite-dimensional ones. We
only use first year linear algebra, namely the existence of bases of vector
spaces V, W compatible with a given linear map V -> W, and the existence of a
basis of a vector space which is compatible with two given subspaces.


title:
Geometric series of positive linear operators and inverse Voronovskaya
  theorem

abstract:
  We define the associated geometric series for a large class of positive
linear operators and study the convergence of the series in the case of
sequences of admissible operators. We obtain an inverse Voronovskaya theorem
and we apply our results to the Bernstein operators, the
Bernstein-Durrmeyer-type operators, and the symmetrical version of
Meyer-K\"onig and Zeller operators.


title: Frustration in vicinity of transition point of Ising spin glasses

abstract:
  We conjecture the existence of a relationship between frustration and the
transition point at zero temperature of Ising spin glasses. The relation
reveals that, in several Ising spin glass models, the concentration of
ferromagnetic bonds is close to the critical concentration at zero temperature
when the output of a function about frustration is equal to unity. The function
is the derivative of the average number of frustrated plaquettes with respect
to the average number of antiferromagnetic bonds. This relation is conjectured
in Ising spin glasses with binary couplings on two-dimensional lattices,
hierarchical lattices, and three-body Ising spin glasses with binary couplings
on two-dimensional lattices. In addition, the same argument in the
Sherrington-Kirkpatrick model yields a point that is identical to the
replica-symmetric solution of the transition point at zero temperature.


title: Classical information storage in an $n$-level quantum system

abstract:
  A game is played by a team of two --- say Alice and Bob --- in which the
value of a random variable $x$ is revealed to Alice only, who cannot freely
communicate with Bob. Instead, she is given a quantum $n$-level system,
respectively a classical $n$-state system, which she can put in possession of
Bob in any state she wishes. We evaluate how successfully they managed to store
and recover the value of $x$ in the used system by requiring Bob to specify a
value $z$ and giving a reward of value $ f(x,z)$ to the team.
  We show that whatever the probability distribution of $x$ and the reward
function $f$ are, when using a quantum $n$-level system, the maximum expected
reward obtainable with the best possible team strategy is equal to that
obtainable with the use of a classical $n$-state system.
  The proof relies on mixed discriminants of positive matrices and --- perhaps
surprisingly --- an application of the Supply--Demand Theorem for bipartite
graphs. As a corollary, we get an infinite set of new, dimension dependent
inequalities regarding positive operator valued measures and density operators
on complex $n$-space.
  As a further corollary, we see that the greatest value, with respect to a
given distribution of $x$, of the mutual information $I(x;z)$ that is
obtainable using an $n$-level quantum system equals the analogous maximum for a
classical $n$-state system.


title: Natural SUSY from SU(5) Orbifold GUT

abstract:
  We propose a realistic 5D orbifold GUT model that can reduce to natural (or
radiative natural) supersymmetry as the low energy effective theory.
Supersymmetry as well as gauge symmetry are broken by the twist boundary
conditions. We find that it is non-trivial to introduce other flavor symmetry
other than the $SU(2)_R$ R-symmetry. We ameliorate the tension between the
small number of free parameters and the successful electroweak symmetry
breaking by introducing non-minimal Kahler potentials. A large trilinear term
$A_t$, which is necessary to give a 125 GeV Higgs boson, is naturally provided
in our scenario. A scan under current experimental constraints shows that our
model can realize natural (or radiative natural) supersymmetry. Only radiative
natural supersymmetry can naturally lead to 125 GeV higgs. Additional dark
matter species other than neutralino(like axion) are needed to provide enough
relic density. Relatively large stop masses are necessary to give realistic
higg mass in most of the parameter spaces.


title: On Adaptive Energy Efficient Transmission in WSNs

abstract:
  One of the major challenges in design of Wireless Sensor Networks (WSNs) is
to reduce energy consumption of sensor nodes to prolong lifetime of
finite-capacity batteries. In this paper, we propose Energy-efficient Adaptive
Scheme for Transmission (EAST) in WSNs. EAST is an IEEE 802.15.4 standard
compliant. In this scheme, open-loop is used for temperature-aware link quality
estimation and compensation. Whereas, closed-loop feedback process helps to
divide network into three logical regions to minimize overhead of control
packets. Threshold on transmitter power loss (RSSIloss) and current number of
nodes (nc(t)) in each region help to adapt transmit power level (Plevel)
according to link quality changes due to temperature variation. Evaluation of
propose scheme is done by considering mobile sensor nodes and reference node
both static and mobile. Simulation results show that propose scheme effectively
adapts transmission Plevel to changing link quality with less control packets
overhead and energy consumption as compared to classical approach with single
region in which maximum transmitter Plevel assigned to compensate temperature
variation.


title: Cubic column relations in truncated moment problems

abstract:
  For the truncated moment problem associated to a complex sequence $\gamma
^{(2n)}=\{\gamma _{ij}\}_{i,j\in Z_{+},i+j \leq 2n}$ to have a representing
measure $\mu $, it is necessary for the moment matrix $M(n)$ to be positive
semidefinite, and for the algebraic variety $\mathcal{V}_{\gamma}$ to satisfy
$\operatorname{rank}\;M(n) \leq \;$ card$\;\mathcal{V}_{\gamma}$ as well as a
consistency condition: the Riesz functional vanishes on every polynomial of
degree at most $2n$ that vanishes on $\mathcal{V}_{\gamma}$. In previous work
with L. Fialkow and M. M\"{o}ller, the first-named author proved that for the
extremal case (rank$\;M(n)=$ card$\;\mathcal{V}_{\gamma}$), positivity and
consistency are sufficient for the existence of a representing measure.
  In this paper we solve the truncated moment problem for cubic column
relations in $M(3)$ of the form $Z^{3}=itZ+u\bar{Z}$ ($u,t \in \mathbb{R}$); we
do this by checking consistency. For $(u,t)$ in the open cone determined by $0
< \left|u\right| < t < 2 \left|u\right|$, we first prove that the algebraic
variety has exactly $7$ points and $\operatorname{rank}\;M(3)=7$; we then apply
the above mentioned result to obtain a concrete, computable, necessary and
sufficient condition for the existence of a representing measure.


title:
Ion-Wake induced anomaly of Dust Lattice Mode in presence of external
  Magnetic field

abstract:
  We report a theoretical investigation of DL mode (Dust Lattice) in 2D Yukawa
crystal in presence of asymmetric ion flow and external magnetic field
perpendicular to the crystal plane. Two mutually perpendicular modes are found
to be coupled due to Lorentz force. Interaction among the dust grains along
vertical direction is strongly affected due to the formation of ion-wake. This
causes anisotropy in interaction strength along two mutually perpendicular
directions. Both hybrid modes are studied as characteristics of different ion
flow speed and magnetic field strength. The study shows a fluctuation in DL
mode frequency driven by the strength of the particle-wake interaction. Effect
of ion flow on polarization of the hybrid wave amplitudes is discussed in
details. Results show a possible mechanism of anomalous phase transition in
dusty plasma.


title: Geometric flows and K\"ahler reduction

abstract:
  We investigate how to obtain various flows of K\"ahler metrics on a fixed
manifold as variations of K\"ahler reductions of a metric satisfying a given
static equation on a higher dimensional manifold. We identify static equations
that induce the geodesic equation for the Mabuchi's metric, the Calabi flow,
the pseudo-Calabi flow of Chen-Zheng and the K\"ahler-Ricci flow. In the latter
case we re-derive the V-soliton equation of La Nave-Tian.


title: Yet another category of setoids with equality on objects

abstract:
  When formalizing mathematics in (generalized predicative) constructive type
theories, or more practically in proof assistants such as Coq or Agda, one is
often using setoids (types with explicit equivalence relations). In this note
we consider two categories of setoids with equality on objects and show that
they are isomorphic. Both categories are constructed from a fixed
proof-irrelevant family $F$ of setoids. The objects of the categories are the
index setoid $I$ of the family, whereas the definition of arrows differs. The
first category has for arrows triples $(a,b,f:F(a) \to F(b))$ where $f$ is an
extensional function. Two such arrows are identified if appropriate composition
with transportation maps (given by $F$) makes them equal. In the second
category the arrows are triples $(a,b,R \hookrightarrow \Sigma(I,F)^2)$ where
$R$ is a total functional relation between the subobjects $F(a), F(b)
\hookrightarrow \Sigma(I,F)$ of the setoid sum of the family. This category is
simpler to use as the transportation maps disappear. Moreover we also show that
the full image of a category along an E-functor into an E-category is category.


title: Modeling Solar Cycles 15 to 21 Using a Flux Transport Dynamo

abstract:
  Context: The Sun's polar fields and open flux around the time of activity
minima have been considered to be strongly correlated with the strength of the
subsequent maximum of solar activity. Aims: We aim to investigate the behavior
of a Babcock-Leighton dynamo with a source poloidal term that is based on the
observed sunspot areas and tilts. In particular, we investigate whether the
toroidal fields at the base of convection zone from the model are correlated
with the observed solar cycle activity maxima. Methods: We used a flux
transport dynamo model that includes convective pumping and a poloidal source
term based on the historical record of sunspot group areas, locations, and tilt
angles to simulate solar cycles 15 to 21. Results: We find that the polar
fields near minima and the toroidal flux at the base of the convection zone are
both highly correlated with the subsequent maxima of solar activity levels (r =
0.85 and r = 0.93, respectively). Conclusions: The Babcock-Leighton dynamo is
consistent with the observationally inferred correlations.


title:
Realization of Associative Memory in an Enzymatic Process: Towards
  Biomolecular Networks with Learning and Unlearning Functionalities

abstract:
  We report a realization of an associative memory signal/information
processing system based on simple enzyme-catalyzed biochemical reactions.
Optically detected chemical output is always obtained in response to the
triggering input, but the system can also "learn" by association, to later
respond to the second input if it is initially applied in combination with the
triggering input as the "training" step. This second chemical input is not
self-reinforcing in the present system, which therefore can later "unlearn" to
react to the second input if it is applied several times on its own. Such
processing steps realized with (bio)chemical kinetics promise applications of
bio-inspired/memory-involving components in "networked" (concatenated)
biomolecular processes for multi-signal sensing and complex information
processing.


title:
MW-Optical Double Resonance in $^{171}{Yb}^+$ Trapped Single Ion and its
  Application for Precision Experiments

abstract:
  We have employed the 12.6 GHz microwave transition resonance of a single
trapped$^{171}$Yb+ ion to accurately measure the size and relative orientation
of the magnetic and optical electric fields at the position of the ion in the
trap. Accurate knowledge of these fields is required for precision experiments
such as single ion PNC. As a proof of the principle we have measured the
polarization dependent light-shift of the ground state hyperfine levels due to
the 369 nm cooling laser to determine its electric field amplitude and
polarization.


title:
Growth of Highly Crystalline Nickel Particles by Diffusional Capture of
  Atoms

abstract:
  We report a new approach to achieve growth of highly crystalline nickel
nanoparticles over an extended range of sizes (up to 100 nm in diameter) and
time scales (up to several hours) by diffusional transport of constituent
atoms. The experimental procedure presented offers control of the morphology of
the resulting particles and yields base metal nanocrystals suitable for
epitaxial deposition of noble metal shells and the preparation of materials
with improved catalytic properties. The reported precipitation system also
provides a good model for testing a diffusion-driven growth mechanism developed
specifically for the reduction process described.