title: From Global Linear Computations to Local Interaction Rules

abstract:
  A network of locally interacting agents can be thought of as performing a
distributed computation. But not all computations can be faithfully
distributed. This paper investigates which global, linear transformations can
be computed using local rules, i.e., rules which rely solely on information
from adjacent nodes in a network. The main result states that a linear
transformation is computable in finite time using local rules if and only if
the transformation has positive determinant. An optimal control problem is
solved for finding the local interaction rules, and simulations are performed
to elucidate how optimal solutions can be obtained.


title:
Higher Order Corrections to the Light-cone Distribution Amplitudes of
  the Sigma baryon

abstract:
  The Light-cone distribution amplitudes (LCDAs) of the $\Sigma^\pm$ baryons up
to twist six are investigated on the basis of QCD conformal partial wave
expansion approach. The calculations are carried out to the next-to-leading
order of conformal spin accuracy. The nonperturbative parameters relevant to
the LCDAs are determined in the framework of the QCD sum rule method. The
explicit expressions of the LCDAs are given as the main results.


title:
Distance between two random k-out digraphs, with and without
  preferential attachment

abstract:
  A random k-out mapping (digraph) on [n] is generated by choosing k random
images of each vertex one at a time, subject to a "preferential attachment"
rule: the current vertex selects an image i with probability proportional to a
given parameter \alpha = \alpha(n) plus the number of times i has already been
selected. Intuitively, the larger \alpha gets, the closer the resulting k-out
mapping is to the uniformly random k-out mapping. We prove that \alpha =
\Theta(n^{1/2}) is the threshold for \alpha growing "fast enough" to make the
random digraph approach the uniformly random digraph in terms of the total
variation distance. We also determine an exact limit for this distance for
\alpha = \beta n^{1/2}.


title:
Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J1-J2
  Square Heisenberg Model

abstract:
  We study the spin-1/2 Heisenberg model on the square lattice with first- and
second-neighbor antiferromagnetic interactions J1 and J2, which possesses a
nonmagnetic region that has been debated for many years and might realize the
interesting Z2 spin liquid. We use the density matrix renormalization group
approach with explicit implementation of SU(2) spin rotation symmetry and study
the model accurately on open cylinders with different boundary conditions. With
increasing J2, we find a Neel phase, a plaquette valence-bond (PVB) phase with
a finite spin gap, and a possible spin liquid in a small region of J2 between
these two phases. From the finite-size scaling of the magnetic order parameter,
we estimate that the Neel order vanishes at J2/J1~0.44. For 0.5<J2/J1<0.61, we
find dimer correlations and PVB textures whose decay lengths grow strongly with
increasing system width, consistent with a long-range PVB order in the
two-dimensional limit. The dimer-dimer correlations reveal the s-wave character
of the PVB order. For 0.44<J2/J1<0.5, spin order, dimer order, and spin gap are
small on finite-size systems and appear to scale to zero with increasing system
width, which is consistent with a possible gapless SL or a near-critical
behavior. We compare and contrast our results with earlier numerical studies.


title: Generalized F-signature of invariant subrings

abstract:
  It is known that a certain invariant subring $R$ has finite
$F$-representation type. Thus, we can write the $R$-module ${}^eR$ as a finite
direct sum of finitely many $R$-modules. In such a decomposition of ${}^eR$, we
pay attention to the multiplicity of each direct summand. For the multiplicity
of free direct summand, there is the notion of $F$-signature defined by C.
Huneke and G. Leuschke and it characterizes some singularities. In this paper,
we extend this notion to non free direct summands and determine the explicit
values of them.


title:
Twin image elimination in digital holography by combination of Fourier
  transformations

abstract:
  We present a new technique for removing twin image in in-line digital Fourier
holography using a combination of Fourier transformations. Instead of recording
only a Fourier transform hologram of the object, we propose to record a
combined Fourier transform hologram by simultaneously recording the hologram of
the Fourier transform and the inverse Fourier transform of the object with
suitable weighting coefficients. Twin image is eliminated by appropriate
inverse combined Fourier transformation and proper choice of the weighting
coefficients. An optical configuration is presented for recording combined
Fourier transform holograms. Simulations demonstrate the feasibility of twin
image elimination. The hologram reconstruction is sensitive to phase
aberrations of the object, thereby opening a way for holographic phase sensing.


title: A Statistical Model of Current Loops and Magnetic Monopoles

abstract:
  We formulate a natural model of current loops and magnetic monopoles for
arbitrary planar graphs, which we call the monopole-dimer model, and express
the partition function of this model as a determinant. We then extend the
method of Kasteleyn and Temperley-Fisher to calculate the partition function
exactly in the case of rectangular grids. This partition function turns out to
be a square of the partition function of an emergent monomer-dimer model when
the grid sizes are even. We use this formula to calculate the local monopole
density, free energy and entropy exactly. Our technique is a novel
determinantal formula for the partition function of a model of vertices and
loops for arbitrary graphs.

categories: cond-mat.stat-mech math-ph math.CO math.MP math.PR


title: Optimal mechanisms with simple menus

abstract:
  We consider optimal mechanism design for the case with one buyer and two
items. The buyer's valuations towards the two items are independent and
additive. In this setting, optimal mechanism is unknown for general valuation
distributions. We obtain two categories of structural results that shed light
on the optimal mechanisms.
  The first category of results state that, under certain mild condition, the
optimal mechanism has a monotone menu. In other words, in the menu that
represents the optimal mechanism, as payment increases, the allocation
probabilities for both items increase simultaneously. Applying this theorem, we
derive a version of revenue monotonicity theorem that states stochastically
superior distributions yield more revenue. Moreover, our theorem subsumes a
previous result regarding sufficient conditions under which bundling is
optimal. The second category of results state that, under certain conditions,
the optimal mechanisms have few menu items. Our first result in this category
says, for certain distributions, the optimal menu contains at most 4 items. The
condition admits power (including uniform) density functions. Based on a
similar proof of this result, we are able to obtain a wide class of
distributions where bundling is optimal. Our second result in this category
works for a weaker condition, under which the optimal menu contains at most 6
items. This condition includes exponential density functions. Our last result
in this category works for unit-demand setting. It states that, for uniform
distributions, the optimal menu contains at most 5 items. All these results are
in sharp contrast to Hart and Nisan's recent result that finite-sized menu
cannot guarantee any positive fraction of optimal revenue for correlated
valuation distributions.


title:
Dual F-signature of special Cohen-Macaulay modules over cyclic quotient
  surface singularities

abstract:
  The notion of $F$-signature is defined by C. Huneke and G. Leuschke and this
numerical invariant characterizes some singularities. This notion is extended
to finitely generated modules and called dual $F$-signature. In this paper, we
determine the dual $F$-signature of a certain class of Cohen-Macaulay modules
(so-called "special") over cyclic quotient surface singularities. Also, we
compare the dual $F$-signature of a special Cohen-Macaulay module with that of
its Auslander-Reiten translation. This gives a new characterization of the
Gorensteiness.


title:
The specificity of searches for $W^{\prime}$, $Z^{\prime}$ and
  $\gamma^{\prime}$ coming from extra dimensions

abstract:
  We discuss the specificity of searches for hypothetical $W^{\prime}$,
$Z^{\prime}$ and $\gamma^{\prime}$ bosons at hadron colliders in single top
quark and $\mu^{+}\nu_{\mu}$ production and Drell-Yan processes assuming these
particles to be the Kaluza-Klein excitations of the gauge bosons of the
Standard Model. In this case any process mediated by $W$ is also mediated by
the whole KK tower of its excitations, whereas to the processes mediated by $Z$
and $\gamma$ there is not only a contribution from their KK towers, but also
from that of the graviton. The contributions of the towers above $W^{\prime}$,
$Z^{\prime}$ and $\gamma^{\prime}$ and above the first excitation of the
graviton are included with the help of effective four-fermion Lagrangians. We
compute the cross-sections of these processes taking into account the
contributions of the Standard Model gauge bosons, of their first KK modes and
of the corresponding KK towers and discuss the impact of the interference
between them. For pp-collisions at the LHC with the center of mass energy 14
TeV we found specific changes of the distribution tails due to the interference
effects. Such a modification of distribution tails is characteristic for the
processes mediated by particles coming from extra dimensions and should always
be taken into account when looking for them.


title: X-ray Development of the Classical Nova V2672 Ophiuchi with Suzaku

abstract:
  We report the Suzaku detection of a rapid flare-like X-ray flux amplification
early in the development of the classical nova V2672 Ophiuchi. Two
target-of-opportunity ~25 ks X-ray observations were made 12 and 22 days after
the outburst. The flux amplification was found in the latter half of day 12.
Time-sliced spectra are characterized by a growing supersoft excess with
edge-like structures and a relatively stable optically-thin thermal component
with Ka emission lines from highly ionized Si. The observed spectral evolution
is consistent with a model that has a time development of circumstellar
absorption, for which we obtain the decline rate of ~10-40 % in a time scale of
0.2 d on day 12. Such a rapid drop of absorption and short-term flux
variability on day 12 suggest inhomogeneous ejecta with dense blobs/holes in
the line of sight. Then on day 22 the fluxes of both supersoft and thin-thermal
plasma components become significantly fainter. Based on the serendipitous
results we discuss the nature of this source in the context of both short- and
long-term X-ray behavior.


title: Explicit calculation of strong solution on linear parabolic equation

abstract:
  In this paper, we give the existence and uniqueness of the strong solution of
one dimensional linear parabolic equation with mixed boundary conditions. The
boundary conditions can be any kind of mixed Dirichlet, Neumann and Robin
boundary conditions. We use the extension method to get the unique solution.
Furthermore, the method can also be easily implemented as a numerical method.
Some simple examples are presented.


title:
A test for a conjecture on the nature of attractors for smooth dynamical
  systems

abstract:
  Dynamics arising persistently in smooth dynamical systems ranges from regular
dynamics (periodic, quasiperiodic) to strongly chaotic dynamics (Anosov,
uniformly hyperbolic, nonuniformly hyperbolic modelled by Young towers). The
latter include many classical examples such as Lorenz and H\'enon-like
attractors and enjoy strong statistical properties.
  It is natural to conjecture (or at least hope) that most dynamical systems
fall into these two extreme situations. We describe a numerical test for such a
conjecture/hope and apply this to the logistic map where the conjecture holds
by a theorem of Lyubich, and to the Lorenz-96 system in 40 dimensions where
there is no rigorous theory. The numerical outcome is almost identical for both
(except for the amount of data required) and provides evidence for the validity
of the conjecture.


title:
Numerical methods for reconstruction of source term of heat equation
  from the final overdetermination

abstract:
  This paper deals with the numerical methods for the reconstruction of source
term in linear parabolic equation from final overdetermination. We assume that
the source term has the form f(x)h(t) and h(t) is given, which guarantees the
uniqueness of the inverse problem for determining the source term $f(x)$ from
final overdetermination. We present the numerical methods for both free
boundary and Neumann boundary situations. Moreover, we show that the solution
of the boundary conditions problem has the form of the free boundary solution
problem by using the extension method. Numerical experiments are done for the
inverse problem with the boundary conditions.


title:
Gauging Structural Aspects of ZnO nano-Crystal Growth ThroughX-ray
  Diffraction Studies and PAC

abstract:
  The structural characterization of sol-gel based nano crystalline ZnO
material is being reported as we observe several previously unreported
structural aspects following a sequence of annealing stages. As-grown samples
were characterised by Fourier Transform Infrared Spectroscopy (FTIR). Chemical
purity of the nano-grains and their crystallinity has been monitored by energy
dispersive X-ray (EDAX) analysis and transmission electron microscopy (TEM),
while the unusual changes in nano-crystal growth structure have been studied by
X-ray diffraction method. In addition, such samples have been studied by using
perturbed angular correlation (PAC) technique with the short-lived radioactive
probe 111mCd. Changes in the local electronic environment following sintering
of the nano-crystalline grains have been observed by this method.


title:
Searching for the squark flavor mixing in CP violations of Bs -> K+ K-
  and K0bar K0 decays

abstract:
  We study CP violations in the B_s-> K+K- and Bs->K0K0 decays in order to find
the contribution of the supersymmetry, which comes from the gluino-squark
mediated flavor changing current. We obtain the allowed region of the squark
flavor mixing parameters by putting the experimental data, the mass difference
Delta M_Bs, the CP violating phase phi_s in Bs to J/psi phi decay and the b to
s gamma branching ratio. In addition to these data, we take into account the
constraint from the asymmetry of B0->K+pi because the Bs->K+K- decay is related
with the B0->K+pi- decay by replacing the spectator s with d. Under these
constraints, we predict the magnitudes of the CP violation in the Bs->K+K- and
Bs->K0K0 decays. The predicted region of the CP violation C_{K+K-} is strongly
cut from the direct CP violation of barB0 to K-pi+, therefore, the deviation
from the SM prediction of C_{K+K-} is not found. On the other hand, the CP
violation S_{K+K-} is possibly deviated from the SM prediction considerably, in
the region of 0.1- 0.5. Since the standard model predictions of C_{K0bar K0}
and S_{K0bar K0} are very small, the squark contribution can be detectable in
C_{K0bar K0} and S_{K0bar K0}. These magnitudes are expected in the region
C_{K0bar K0}=-0.06-0.06 and S_{K0bar K0}=-0.5-0.3. More precise data of these
CP violations provide us a crucial test for the gluino-squark mediated flavor
changing current.


title: Exact results for a toy model exhibiting dynamic criticality

abstract:
  In this article we discuss an exactly solvable, one-dimensional, periodic toy
charge density wave model introduced in [D.C. Kaspar, M. Mungan, EPL {\bf 103},
46002 (2013)]. In particular, driving the system with a uniform force, we show
that the depinning threshold configuration is an explicit function of the
underlying disorder, as is the evolution from the negative threshold to the
positive threshold, the latter admitting a description in terms of record
sequences. This evolution is described by an avalanche algorithm, which
identifies a sequence of static configurations that are stable at successively
stronger forcing, and is useful both for analysis and simulation. We focus in
particular on the behavior of the polarization $P$, which is related to the
cumulative avalanche size, as a function of the threshold force minus the
current force $(F_{\mathrm{th}} - F)$, as this has been the focus of several
prior numerical and analytical studies of CDW systems. The results presented
are rigorous, with exceptions explicitly indicated, and show that the depinning
transition in this model is indeed a dynamic critical phenomenon.

categories: math-ph cond-mat.dis-nn cond-mat.stat-mech math.MP math.PR


title: Phase Diagram in Quantum Chromodynamics

abstract:
  It is suggested that the hadronization of the quark-gluon plasma is a
first-order phase transition described by a critical curve in the
temperature-(quark) density plane which terminates in a critical point. Such a
critical curve is derived from the van der Waals equation and its parameters
are estimated by using the theoretical approach given in M. Apostol, Roum.
Reps. Phys. 59 249 (2007); Mod. Phys. Lett. B21 893 (2007). The main assumption
is that quark-gluon plasma created by high-energy nucleus-nucleus collisions is
a gas of ultrarelativistic quarks in equilibrium with gluons (vanishing
chemical potential, indefinite number of quarks). This plasma expands, gets
cool and dilute and hadronizes at a certain transition temperature and
transition density. The transition density is very close to the saturation
density of the nuclear matter and, it is suggested that both these points are
very close to the critical point n~1fm^{-3} (quark density) and T~200MeV
(temperature).


title: Electronic structure of nanorod of strongly prolate ellipsoidal shape

abstract:
  A charged particle (electron or hole) confined in nanorod of strongly prolate
ellipsoidal shape is considered. The effective-mass Schr\"odinger equation is
solved in prolate spheroidal coordinates and asymptotically exact expressions
for the energy spectrum and wavefunctions are derived. It is shown that the
treatment of the confinement energies is incorrect if the actual shape of
ellipsoidal nanorod is not taken into account. In particular, developed earlier
the approach based on the consideration of the problem in cylindrical
coordinates with the use of parabolic potential leads to the incorrect
expression for the energy spectrum. Rule of correlation between the states
corresponding to spherical quantum dot and nanorod of strongly prolate
ellipsoidal shape is suggested and an appropriate energy correlation diagram is
constructed. The correlation diagram is in complete qualitative and
quantitative agreement with the energy diagram obtained by numerical solution
of the Schr\"odinger equation in spheroidal coordinates.


title: Event Evolution Tracking from Streaming Social Posts

abstract:
  Online social post streams such as Twitter timelines and forum discussions
have emerged as important channels for information dissemination. They are
noisy, informal, and surge quickly. Real life events, which may happen and
evolve every minute, are perceived and circulated in post streams by social
users. Intuitively, an event can be viewed as a dense cluster of posts with a
life cycle sharing the same descriptive words. There are many previous works on
event detection from social streams. However, there has been surprisingly
little work on tracking the evolution patterns of events, e.g., birth/death,
growth/decay, merge/split, which we address in this paper. To define a tracking
scope, we use a sliding time window, where old posts disappear and new posts
appear at each moment. Following that, we model a social post stream as an
evolving network, where each social post is a node, and edges between posts are
constructed when the post similarity is above a threshold. We propose a
framework which summarizes the information in the stream within the current
time window as a ``sketch graph'' composed of ``core'' posts. We develop
incremental update algorithms to handle highly dynamic social streams and track
event evolution patterns in real time. Moreover, we visualize events as word
clouds to aid human perception. Our evaluation on a real data set consisting of
5.2 million posts demonstrates that our method can effectively track event
dynamics in the whole life cycle from very large volumes of social streams on
the fly.


title:
A Search for Moderate-Redshift Survivors from the Population of Luminous
  Compact Passive Galaxies at High Redshift

abstract:
  From a search of a ~ 2400 square degree region covered by both the SDSS and
UKIDSS databases, we have attempted to identify galaxies at z ~ 0.5 that are
consistent with their being essentially unmodified examples of the luminous
passive compact galaxies found at z ~ 2.5. After isolating good candidates via
deeper imaging, we further refine the sample with Keck moderate-resolution
spectroscopy and laser-guide-star adaptive-optics imaging. For 4 of the 5
galaxies that so far remain after passing through this sieve, we analyze
plausible star-formation histories based on our spectra in order to identify
galaxies that may have survived with little modification from the population
formed at high redshift. We find 2 galaxies that are consistent with having
formed > 95% of their mass at z > 5. We attempt to estimate masses both from
our stellar population determinations and from velocity dispersions. Given the
high frequency of small axial ratios, both in our small sample and among
samples found at high redshifts, we tentatively suggest that some of the more
extreme examples of passive compact galaxies may have prolate morphologies.


title: On cusped solitary waves in finite water depth

abstract:
  It is well-known that the Camassa-Holm (CH) equation admits both of the
peaked and cusped solitary waves in shallow water. However, it was an open
question whether or not the exact wave equations can admit them in finite water
depth. Besides, it was traditionally believed that cusped solitary waves, whose
1st-derivative tends to infinity at crest, are essentially different from
peaked solitary ones with finite 1st-derivative. Currently, based on the
symmetry and the exact water wave equations, Liao [1] proposed a unified wave
model (UWM) for progressive gravity waves in finite water depth. The UWM admits
not only all traditional smooth progressive waves but also the peaked solitary
waves in finite water depth: in other words, the peaked solitary progressive
waves are consistent with the traditional smooth ones. In this paper, in the
frame of the linearized UWM, we further give, for the first time, the cusped
solitary waves in finite water depth, and besides reveal a close relationship
between the cusped and peaked solitary waves: a cusped solitary wave is consist
of an infinite number of peaked solitary ones with the same phase speed, so
that it can be regarded as a special peaked solitary wave. This also well
explains why and how a cuspon has an infinite 1st-derivative at crest. It is
found that, like peaked solitary waves, the vertical velocity of a cusped
solitary wave in finite water depth is also discontinuous at crest (x=0), and
especially its phase speed has nothing to do with wave height, too. In
addition, it is unnecessary to consider whether the peaked/cusped solitary
waves given by the UWM are weak solution or not, since the governing equation
is not necessary to be satisfied at crest. All of these would deepen and enrich
our understandings about the cusped solitary waves.


title: Constraining flavoured contact interactions at the LHC

abstract:
  Contact interactions are the low-energy footprints of New Physics, so
ideally, constraints upon them should be as generic and model independent as
possible. Hadron colliders search for four-quark contact interactions with
incident valence quarks, and the LHC currently sets limits on a flavour sum
(over uu,dd and ud) of selected interactions. We approximately translate these
bounds to a more complete (and larger) set of dimension-six interactions of
specified flavours. These estimates are obtained at the parton level, are
mostly analytic and are less restrictive than the experimental bounds on
flavour-summed interactions. The estimates may scale in a simple way to higher
energy and luminosity.


title: $p$-Johnson homomorphisms and pro-p groups

abstract:
  We propose an approach to study non-Abelian Iwasawa theory, using the idea of
Johnson homomorphisms in low dimensional topology. We introduce arithmetic
analogues of Johnson homomorphisms/maps, called the p-Johnson
homomorphisms/maps, associated to the Zassenhaus filtration of a pro-p Galois
group over a Z_p-extension of a number field. We give their cohomological
interpretation in terms of Massey products in Galois cohomology.


title:
Absence of Differential Correlations Between the Wave Equations for
  Upper-Lower One-Index Twistor Fields Borne by the Infeld-van der Waerden
  Spinor Formalisms for General Relativity

abstract:
  It is pointed out that the wave equations for any upper-lower one-index
twistor fields which take place in the frameworks of the Infeld-van der Waerden
{\gamma}{\epsilon}-formalisms must be formally the same. The only reason for
the occurrence of this result seems to be directly related to the fact that the
spinor translation of the traditional conformal Killing equation yields twistor
equations of the same form. It thus appears that the conventional torsionless
devices for keeping track in the {\gamma}-formalism of valences of spinor
differential configurations turn out not to be useful for sorting out the
typical patterns of the equations at issue.


title: Spin effects and compactification

abstract:
  We consider the dynamics of Dirac particles moving in the curved spaces with
one coordinate subjected to compactification and thus interpolating smoothly
between three- and two-dimensional spaces. We use the model of
compactification, which allows us to perform the exact Foldy-Wouthuysen
transformation of the Dirac equation and then to obtain the exact solutions of
the equations of motion for momentum and spin in the classical limit. The spin
precesses with the variable angular velocity, and a "flick" may appear in the
remnant two-dimensional space once or twice during the period. We note an
irreversibility in the particle dynamics because the particle can always
penetrate from the lower-dimensional region to the higher-dimensional region,
but not inversely.


title: Enhanced propagation of photon density waves in random amplifying media

abstract:
  We demonstrate enhanced wave-like character of diffuse photon density waves
(DPDW) in an amplifying random medium. The amplifying nature makes it
contingent to choose the wave solution that grows inside the amplifying medium,
and has a propagation vector pointing opposite to the growth direction. This
results in negative refraction of the DPDW at an absorbing-amplifying random
medium interface as well as the possibility of supporting "anti"-surface-like
modes at the interface. A slab of amplifying random medium sandwiched between
two absorbing random media supports waveguide resonances that can be utilized
to extend the imaging capabilities of DPDW.


title: Approximate convexity and an edge-isoperimetric estimate

abstract:
  We study extremal properties of the function
  $$ F(x) := \min\{k\|x\|^{1-1/k}\colon k\ge 1\},\ x\in[0,1], $$ where
$\|x\|=\min\{x,1-x\}$. In particular, we show that $F$ is the pointwise largest
function of the class of all real-valued functions $f$ defined on the interval
$[0,1]$, and satisfying the relaxed convexity condition
  $$ f(tx_1+(1-t)x_2) \le tf(x_1)+(1-t)f(x_2)+|x_2-x_1|, \ x_1,x_2,t\in[0,1] $$
and the boundary condition $\max\{f(0),f(1)\}\le 0$.
  As an application, we prove that if $A$ and $S$ are subsets of a finite
abelian group $G$, such that $S$ is generating and all of its elements have
order at most $m$, then the number of edges from $A$ to its complement
$G\setminus A$ in the directed Cayley graph induced by $S$ on $G$ is
  $$ \partial_S(A) \ge \frac{1}{m} |G| F(|A|/|G|). $$


title: Thermoelectric efficiency in momentum-conserving systems

abstract:
  We show that for a two-dimensional gas of elastically interacting particles
the thermoelectric efficiency reaches the Carnot efficiency in the
thermodynamic limit. Numerical simulations, by means of the multi-particle
collision dynamics method, show that this result is robust under perturbations.
That is, the thermoelectric figure of merit remains large when momentum
conservation is broken by weak noise.


title: The Two Dimensional Euler Equations on Singular Exterior Domains

abstract:
  This paper is a follow-up of article [Gerard-Varet and Lacave, ARMA 2013], on
the existence of global weak solutions to the two dimensional Euler equations
in singular domains. In [Gerard-Varet and Lacave, ARMA 2013], we have
established the existence of weak solutions for a large class of bounded
domains, with initial vorticity in $L^p$ ($p>1$). For unbounded domains, we
have proved a similar result only when the initial vorticity is in $L^p_{c}$
($p>2$) and when the domain is the exterior of a single obstacle. The goal here
is to retrieve these two restrictions: we consider general initial vorticity in
$L^1\cap L^p$ ($p>1$), outside an arbitrary number of obstacles (not reduced to
points).


title:
Robust Cosparse Greedy Signal Reconstruction for Compressive Sensing
  with Multiplicative and Additive Noise

abstract:
  Greedy algorithms are popular in compressive sensing for their high
computational efficiency. But the performance of current greedy algorithms can
be degenerated seriously by noise (both multiplicative noise and additive
noise). A robust version of greedy cosparse greedy algorithm (greedy analysis
pursuit) is presented in this paper. Comparing with previous methods, The
proposed robust greedy analysis pursuit algorithm is based on an optimization
model which allows both multiplicative noise and additive noise in the data
fitting constraint. Besides, a new stopping criterion that is derived. The new
algorithm is applied to compressive sensing of ECG signals. Numerical
experiments based on real-life ECG signals demonstrate the performance
improvement of the proposed greedy algorithms.


title:
Maximum likelihood q-estimator reveals nonextensivity regulated by
  extracellular potassium in the mammalian neuromuscular junction

abstract:
  Recently, we demonstrated the existence of nonextensivity in neuromuscular
transmission [Phys. Rev. E 84, 041925 (2011)]. In the present letter, we
propose a general criterion based on the q-calculus foundations and
nonextensive statistics to estimate the values for both scale factor and
q-index using the maximum likelihood q-estimation method (MLqE). We next
applied our theoretical findings to electrophysiological recordings from
neuromuscular junction (NMJ) where spontaneous miniature end plate potentials
(MEPP) were analyzed. These calculations were performed in both normal and high
extracellular potassium concentration, [K+]o. This protocol was assumed to test
the validity of the q-index in electrophysiological conditions closely
resembling physiological stimuli. Surprisingly, the analysis showed a
significant difference between the q-index in high and normal [K+]o, where the
magnitude of nonextensivity was increased. Our letter provides a general way to
obtain the best q-index from the q-Gaussian distribution function. It also
expands the validity of Tsallis statistics in a more realistic stimulus
condition. Physical and physiological implications of these findings are
discussed in detail.


title:
Baryon octet and decuplet phenomenology in a three-flavor extended
  linear sigma model

abstract:
  We present an effective model, which is an extension of the usual linear
sigma model, that contains a low energy multiplet for every hadronic particle
type. These multiplets are a scalar nonet, a pseudoscalar nonet, a vector
nonet, an axialvector nonet, a baryon octet and a baryon decuplet. Tree level
baryon masses and possible two body decuplet decays are calculated. The baryon
masses are generated through spontaneous symmetry breaking. The calculated
quantities are used to determine the model parameters through a multiparametric
minimalization process, which compares the calculated physical quantities with
their experimental values. We found that the calculated quantities are in good
agreement with the experimental data.


title:
On the modified q-Genocchi numbers and polynomials and their
  applications

abstract:
  The main objective of this paper is to introduce the modified q-Genocchi
polynomials and to define their generating function. In the paper, we show new
relations, which are explicit formula, derivative formula, multiplication
formula, and some others, for mentioned q-Genocchi polynomials. By applying
Mellin transformation to the generating function of the modified q-Genocchi
polynomials, we define q-Genocchi zeta-type functions which are interpolated by
the modified q-Genocchi polynomials at negative integers.


title:
One-loop $W_L W_L$ and $Z_L Z_L$ scattering from the Electroweak Chiral
  Lagrangian with a light Higgs-like scalar

abstract:
  By including the recently discovered Higgs-like scalar $\varphi$ in the
Electroweak Chiral Lagrangian, and using the Equivalence Theorem, we carry out
the complete one-loop computation of the elastic scattering amplitude for the
longitudinal components of the gauge bosons $V=W, Z$ at high energy. We also
compute $\varphi\varphi \rightarrow \varphi\varphi$ and the inelastic process
$VV\rightarrow \varphi\varphi$, and identify the counterterms needed to cancel
the divergences, namely the well known $a_4$ and $a_5$ chiral parameters plus
three additional ones only superficially treated in the literature because of
their dimension 8. Finally we compute all the partial waves and discuss the
limitations of the one-loop computation due to only approximate unitarity.


title:
Geometric Measure of Entanglement and Schmidt Decomposition of
  Multipartite Systems

abstract:
  The thesis includes the original results of our articles [30, 37, 40, 42, 51,
53, 75].
  A method is developed to compute analytically entanglement measures of
three-qubit pure states. Owing to it closed-form expressions are presented for
the geometric measure of entanglement for three-qubit states that are linear
combinations of four orthogonal product states. It turns out that the geometric
measure for these states has three different expressions depending on the range
of definition in parameter space and the Hilbert space of three-qubits consists
of three different entangled regions. The states that lie on joint surfaces
separating different entangled regions, designated as shared states, have
particularly interesting features and are dual quantum channels for the perfect
teleportation and superdense coding [42].
  A powerful method is developed to compute analytically multipartite
entanglement measures. The method uses the duality concept and creates a
bijection between highly entangled quantum states and their nearest separable
states. The bijection gives explicitly the geometric entanglement measure of
arbitrary generalized W states of n qubits [30, 75]. Additionaly, the behavior
of the geometric entanglement measure of many-qubit W states is analyzed and an
interpolating formula is derived [51].
  Generalized Schmidt decomposition of pure three-qubit states has four
positive and one complex coefficients. In contrast to the bipartite case, they
are not arbitrary and the largest Schmidt coefficient restricts severely other
coefficients. It is derived a non-strict inequality between three-qubit Schmidt
coefficients, where the largest coefficient defines the least upper bound for
the three nondiagonal coefficients or, equivalently, the three nondiagonal
coefficients together define the greatest lower bound for the largest
coefficient [53].


title:
Boas-type formulas in Banach spaces with applications to analysis on
  manifolds

abstract:
  The paper contains Boas-type formulas for trajectories of one-parameter
groups of operators in Banach spaces. The results are illustrated using
one-parameter groups of operators which appear in representations of Lie
groups.


title: Studies of charmed states in amplitude analyses at LHCb

abstract:
  Amplitude analysis is a powerful tool to study the properties of intermediate
resonances produced in the decays of B mesons. At LHCb we have studied B+
decays to X(3872) K+, where X(3872) decays to J/psi pi+ pi-, to determine the
quantum numbers of the X(3872), and B+ decays to proton anti-proton K+ to learn
more about (charm anti-charm) to proton anti-proton transitions. We also
exploit the spin of the J/psi to perform amplitude analyses of the decays B0_s
to J/psi pi+ pi-, B0_s to J/psi K+ K-, B0 to J/psi pi+ pi-, and B0 to J/psi K+
K-. Our results use 1.0 inverse femtobarn of data taken in 2011 from 7 TeV
proton-proton collisions, provided by the LHC.


title: Superopers on Supercurves

abstract:
  In this note, we introduce the generalization of opers (superopers) for a
certain class of superalgebras, which have pure odd simple root system. We
study in detail $SPL_2$-superopers and in particular derive the corresponding
Bethe ansatz equations, which describe the spectrum of $osp(2|1)$ Gaudin model.


title: A brief network analysis of Artificial Intelligence publication

abstract:
  In this paper, we present an illustration to the history of Artificial
Intelligence(AI) with a statistical analysis of publish since 1940. We
collected and mined through the IEEE publish data base to analysis the
geological and chronological variance of the activeness of research in AI. The
connections between different institutes are showed. The result shows that the
leading community of AI research are mainly in the USA, China, the Europe and
Japan. The key institutes, authors and the research hotspots are revealed. It
is found that the research institutes in the fields like Data Mining, Computer
Vision, Pattern Recognition and some other fields of Machine Learning are quite
consistent, implying a strong interaction between the community of each field.
It is also showed that the research of Electronic Engineering and Industrial or
Commercial applications are very active in California. Japan is also publishing
a lot of papers in robotics. Due to the limitation of data source, the result
might be overly influenced by the number of published articles, which is to our
best improved by applying network keynode analysis on the research community
instead of merely count the number of publish.


title: The Pauli principle and magnetism

abstract:
  According to Heisenberg ferrmagnetism stems from the Pauli magic mediating
between Coulomb interaction and electrons' spins. The primary aim of the paper
is to turn the magic into an algebra by setting a precise bound to the degree a
given electron density can affect spins. An application of the resulting
spin-orbital Pauli constraints to Fe, Co, and Ni provides a new insight into
the origin of magnetic moments in this archetypical ferromagnets.


title: Importance sampling schemes for evidence approximation in mixture models

abstract:
  The marginal likelihood is a central tool for drawing Bayesian inference
about the number of components in mixture models. It is often approximated
since the exact form is unavailable. A bias in the approximation may be due to
an incomplete exploration by a simulated Markov chain (e.g., a Gibbs sequence)
of the collection of posterior modes, a phenomenon also known as lack of label
switching, as all possible label permutations must be simulated by a chain in
order to converge and hence overcome the bias. In an importance sampling
approach, imposing label switching to the importance function results in an
exponential increase of the computational cost with the number of components.
In this paper, two importance sampling schemes are proposed through choices for
the importance function; a MLE proposal and a Rao-Blackwellised importance
function. The second scheme is called dual importance sampling. We demonstrate
that this dual importance sampling is a valid estimator of the evidence and
moreover show that the statistical efficiency of estimates increases. To reduce
the induced high demand in computation, the original importance function is
approximated but a suitable approximation can produce an estimate with the same
precision and with reduced computational workload.


title:
Comparison analysis in Multicast Authentication based on Batch Signature
  (MABS) in Network Security

abstract:
  Conventional block-based multicast authentication schemes overlook the
heterogeneity of receivers by letting the sender choose the block size, divide
a multicast stream into blocks, associate each block with a signature, and
spread the effect of the signature across all the packets in the block through
hash graphs or coding algorithms. The correlation among packets makes them
vulnerable to packet loss, which is inherent in the Internet and wireless
networks. Moreover, the lack of Denial of Service (DoS) resilience renders most
of them vulnerable to packet injection in hostile environments. In this paper,
we propose a novel multicast authentication protocol, namely MABS, including
two schemes. The basic scheme (MABS-B) eliminates the correlation among packets
and thus provides the perfect resilience to packet loss, and it is also
efficient in terms of latency, computation, and communication overhead due to
an efficient cryptographic primitive called batch signature, which supports the
authentication of any number of packets simultaneously.so we discuss their
comparisons and performance evaluation of Packet Loss, Comparisons over Lossy
Channels, Comparisons of Signature Schemes, computationational overheads etc.


title: Aperiodic pseudorandom number generators based on infinite words

abstract:
  In this paper we study how certain families of aperiodic infinite words can
be used to produce aperiodic pseudorandom number generators (PRNGs) with good
statistical behavior. We introduce the \emph{well distributed occurrences}
(WELLDOC) combinatorial property for infinite words, which guarantees absence
of the lattice structure defect in related pseudorandom number generators. An
infinite word $u$ on a $d$-ary alphabet has the WELLDOC property if, for each
factor $w$ of $u$, positive integer $m$, and vector $\mathbf v\in\mathbb
Z_{m}^{d}$, there is an occurrence of $w$ such that the Parikh vector of the
prefix of $u$ preceding such occurrence is congruent to $\mathbf v$ modulo $m$.
(The Parikh vector of a finite word $v$ over an alphabet $\mathcal A$ has its
$i$-th component equal to the number of occurrences of the $i$-th letter of
$\mathcal A$ in $v$.) We prove that Sturmian words, and more generally
Arnoux-Rauzy words and some morphic images of them, have the WELLDOC property.
Using the TestU01 and PractRand statistical tests, we moreover show that not
only the lattice structure is absent, but also other important properties of
PRNGs are improved when linear congruential generators are combined using
infinite words having the WELLDOC property.


title:
Multi-strange baryon production in Pb-Pb and pp collisions at
  $\sqrt{s_{NN}}$ = 2.76 TeV with the ALICE experiment at the LHC

abstract:
  The production of $\Xi^{-}$ and $\Omega^{-}$ baryons and their anti-particles
in Pb-Pb and pp collisions at $\sqrt{s_{NN}}$ = 2.76 TeV has been measured by
the ALICE collaboration. The transverse momentum spectra at mid-rapidity (|y| <
0.5) in pp and Pb-Pb collisions for five centrality intervals have been
compared with model predictions. Hyperon yields and spectra in Pb-Pb
collisions, normalized to the corresponding measurements in pp at the same
centre-of-mass energy, allow the study of the strangeness enhancement and the
nuclear modification factor as a function of the transverse momentum ($p_{T}$)
and collision centrality.


title:
Semiclassical and quantum behavior of the Mixmaster model in the polymer
  approach

abstract:
  We analyze the quantum dynamics of the Bianchi Type IX model, as described in
the so-called polymer representation of quantum mechanics, to characterize the
modifications that a discrete na- ture in the anisotropy variables of the
Universe induces on the morphology of the cosmological sin- gularity. We first
perform a semiclassical analysis, to be regarded as the zeroth-order
approximation of a WKB (Wentzel-Kramers-Brillouin) approximation of the quantum
dynamics, and demonstrate how the features of polymer quantum mechanics are
able to remove the chaotic properties of the Bianchi IX dynamics. Then, we
address the study of the full quantum dynamics of this model in the polymer
representation and analyze the two cases, in which the Bianchi IX spatial
curvature does not affect the wave-packet behavior, as well as the instance,
for which it plays the role of an infinite potential confining the dynamics of
the anisotropic variables. The main development of this analysis consists of
investigating how, differently from the standard canonical quantum evolution,
the high quantum number states are not preserved arbitrarily close to the
cosmological singularity. This property emerges as a consequence, on one hand,
of the no longer chaotic features of the classical dynamics (on which the
Misner analysis is grounded), and, on the other hand, of the impossibility to
remove the quantum effect due to the spatial curvature. In the polymer picture,
the quantum evolution of the Bianchi IX model remains always significantly far
from the semiclassical behavior, as far as both the wave-packet spread and the
occupation quantum numbers are concerned. As a result, from a quantum point of
view, the Mixmaster dynamics loses any predictivity characterization for the
discrete nature of the Universe anisotropy.


title:
Modeling and Simulation of the EV Charging in a Residential Distribution
  Power Grid

abstract:
  There are numerous advantages of using Electric Vehicles (EVs) as an
alternative method of transportation. However, an increase in EV usage in the
existing residential distribution grid poses problems such as overloading the
existing infrastructure. In this paper, we have modeled and simulated a
residential distribution grid in GridLAB-D (an open-source software tool used
to model, simulate, and analyze power distribution systems) to illustrate the
problems associated with a higher EV market penetration rates in the
residential domain. Power grid upgrades or control algorithms at the
transformer level are required to overcome issues such as transformer
overloading. We demonstrate the method of coordinating EV charging in a
residential distribution grid so as to overcome the overloading problem without
any upgrades in the distribution grid.


title: Magnetic wire-based sensors for the micro-rheology of complex fluids

abstract:
  We propose a simple micro-rheology technique to evaluate the viscoelastic
properties of complex fluids. The method is based on the use of magnetic wires
of a few microns in length submitted to a rotational magnetic field. In this
work, the method is implemented on a surfactant wormlike micellar solution that
behaves as an ideal Maxwell fluid. With increasing frequency, the wires undergo
a transition between a steady and a hindered rotation regime. The study shows
that the average rotational velocity and the amplitudes of the oscillations
obey scaling laws with well-defined exponents. From a comparison between model
predictions and experiments, the rheological parameters of the fluid are
determined.


title:
Dynamic Model of Facial Expression Recognition based on Eigen-face
  Approach

abstract:
  Emotions are best way of communicating information; and sometimes it carry
more information than words. Recently, there has been a huge interest in
automatic recognition of human emotion because of its wide spread application
in security, surveillance, marketing, advertisement, and human-computer
interaction. To communicate with a computer in a natural way, it will be
desirable to use more natural modes of human communication based on voice,
gestures and facial expressions. In this paper, a holistic approach for facial
expression recognition is proposed which captures the variation in facial
features in temporal domain and classifies the sequence of images in different
emotions. The proposed method uses Haar-like features to detect face in an
image. The dimensionality of the eigenspace is reduced using Principal
Component Analysis (PCA). By projecting the subsequent face images into
principal eigen directions, the variation pattern of the obtained weight vector
is modeled to classify it into different emotions. Owing to the variations of
expressions for different people and its intensity, a person specific method
for emotion recognition is followed. Using the gray scale images of the frontal
face, the system is able to classify four basic emotions such as happiness,
sadness, surprise, and anger.


title:
Exact and approximate solutions for the quantum minimum-Kullback-entropy
  estimation problem

abstract:
  The minimum Kullback entropy principle (mKE) is a useful tool to estimate
quantum states and operations from incomplete data and prior information. In
general, the solution of a mKE problem is analytically challenging and an
approximate solution has been proposed and employed in different context.
Recently, the form and a way to compute the exact solution for finite
dimensional systems has been found, and a question naturally arises on whether
the approximate solution could be an effective substitute for the exact
solution, and in which regimes this substitution can be performed. Here, we
provide a systematic comparison between the exact and the approximate mKE
solutions for a qubit system when average data from a single observable are
available. We address both mKE estimation of states and weak Hamiltonians, and
compare the two solutions in terms of state fidelity and operator distance. We
find that the approximate solution is generally close to the exact one unless
the initial state is near an eigenstate of the measured observable. Our results
provide a rigorous justification for the use of the approximate solution
whenever the above condition does not occur, and extend its range of
application beyond those situations satisfying the assumptions used for its
derivation.


title: Design of Fast Response Smart Electric Vehicle Charging Infrastructure

abstract:
  The response time of the smart electrical vehicle (EV) charging
infrastructure is the key index of the system performance. The traffic between
the smart EV charging station and the control center dominates the response
time of the smart charging stations. To accelerate the response of the smart EV
charging station, there is a need for a technology that collects the
information locally and relays it to the control center periodically. To reduce
the traffic between the smart EV charger and the control center, a Power
Information Collector (PIC), capable of collecting all the meters power
information in the charging station, is proposed and implemented in this paper.
The response time is further reduced by pushing the power information to the
control center. Thus, a fast response smart EV charging infrastructure is
achieved to handle the shortage of energy in the local grid.


title:
Derivative of Rotation Matrix Direct Matrix Derivation of Well Known
  Formula

abstract:
  In motion Kinematics, it is well-known that the time derivative of a
3x3rotation matrix equals a skew-symmetric matrix multiplied by the rotation
matrix where the skew symmetric matrix is a linear (matrix valued) function of
the angular velocity and the rotation matrix represents the rotating motion of
a frame with respect to a reference frame. The equation is widely used in
engineering, e.g., robotics, control, air/spacecraft modeling, etc. However,
the derivations found in the literature are indirect. Motivated by the fact
that the set of 3x3rotation matrices, i.e., SO(3), is a Lie group, forming a
smooth (differentiable) manifold, we describe the infinitesimal increment of
the rotation matrix in terms of rotation matrices and show that the above
equation immediately follows.


title:
Wigner localization in quantum dots from Kohn-Sham density functional
  theory without symmetry breaking

abstract:
  We address low-density two-dimensional circular quantum dots with
spin-restricted Kohn-Sham density functional theory. By using an
exchange-correlation functional that encodes the effects of the
strongly-correlated regime (and that becomes exact in the limit of infinite
correlation), we are able to reproduce characteristic phenomena such as the
formation of ring structures in the electronic total density, preserving the
fundamental circular symmetry of the system. The observation of this and other
well-known effects in Wigner-localized quantum dots such as the flattening of
the addition energy spectra, has until now only been within the scope of other,
numerically more demanding theoretical approaches


title:
On a Flywheel-Based Regenerative Braking System for Regenerative Energy
  Recovery

abstract:
  This paper presents a unique flywheel-based regenerative energy recovery,
storage and release system developed at the author's laboratory. It can recover
and store regenerative energy produced by braking a motion generator with
intermittent rotary velocity such as the rotor of a wind turbogenerator subject
to intermittent intake wind and the axels of electric and hybrid gas-electric
vehicles during frequent coasting and braking. Releasing of the stored
regenerative energy in the flywheel is converted to electricity by the attached
alternator. A proof-of-concept prototype called the SJSU-RBS was designed,
built and tested by author's students with able assistance of a technical staff
in his school.


title: Efficient Data Collection in Multimedia Vehicular Sensing Platforms

abstract:
  Vehicles provide an ideal platform for urban sensing applications, as they
can be equipped with all kinds of sensing devices that can continuously monitor
the environment around the travelling vehicle. In this work we are particularly
concerned with the use of vehicles as building blocks of a multimedia mobile
sensor system able to capture camera snapshots of the streets to support
traffic monitoring and urban surveillance tasks. However, cameras are high
data-rate sensors while wireless infrastructures used for vehicular
communications may face performance constraints. Thus, data redundancy
mitigation is of paramount importance in such systems. To address this issue in
this paper we exploit sub-modular optimisation techniques to design efficient
and robust data collection schemes for multimedia vehicular sensor networks. We
also explore an alternative approach for data collection that operates on
longer time scales and relies only on localised decisions rather than
centralised computations. We use network simulations with realistic vehicular
mobility patterns to verify the performance gains of our proposed schemes
compared to a baseline solution that ignores data redundancy. Simulation
results show that our data collection techniques can ensure a more accurate
coverage of the road network while significantly reducing the amount of
transferred data.


title:
Robust decision analysis for environmental management of groundwater
  contamination sites

abstract:
  In contrast to many other engineering fields, the uncertainties in subsurface
processes (e.g., fluid flow and contaminant transport in aquifers) and their
parameters are notoriously difficult to observe, measure, and characterize.
This causes severe uncertainties that need to be addressed in any decision
analysis related to optimal management and remediation of groundwater
contamination sites. Furthermore, decision analyses typically rely heavily on
complex data analyses and/or model predictions, which are often poorly
constrained as well. Recently, we have developed a model-driven
decision-support framework (called MADS; http://mads.lanl.gov) for the
management and remediation of subsurface contamination sites in which severe
uncertainties and complex physics-based models are coupled to perform
scientifically defensible decision analyses. The decision analyses are based on
Information Gap Decision Theory (IGDT). We demonstrate the MADS capabilities by
solving a decision problem related to optimal monitoring network design.


title: On the Sustainability of Electrical Vehicles

abstract:
  Many perceive electric vehicles (EVs) to be eco-environmentally sustainable
because they are free of emissions of toxic and greenhouse gases to the
environment. However, few have questioned the sustainability of the electric
power required to drive these vehicles. This paper presents an in-depth study
that indicates that massive infusion of EVs to our society in a short time span
will likely create a colossal demand for additional electric power generation
much beyond what the US electric power generating industry can provide with its
current generating capacity. Additionally, such demand would result in much
adverse environmental consequences if the current technology of electric power
generation by predominant fossil fuels continues. Other rarely accounted facts
on environmental impacts by EVs are the substantial electric energy required to
produce batteries that drive EVs, and the negative consequences relating to the
recycling of spent batteries.


title: Countable connected-homogeneous digraphs

abstract:
  A digraph is connected-homogeneous if every isomorphism between two finite
connected induced subdigraphs extends to an automorphism of the whole digraph.
In this paper, we completely classify the countable connected-homogeneous
digraphs.


title: Variational principles in models of behavioral sciences

abstract:
  This paper develops some mathematical models arising in behavioral sciences,
particularly in psychology, which are formalized via general preferences with
variable ordering structures. Our considerations are based on the recent
variational rationality approach that unifies numerous theories in different
branches of behavioral sciences by using, in particular, worthwhile change and
stay dynamics and variational traps. In the mathematical framework of this
approach, we derive a new variational principle, which can be viewed as an
extension of the Ekeland variational principle to the case of set-valued
mappings on quasi metric spaces with cone-valued ordering variable structures.
Such a general setting is proved to be appropriate for broad applications to
the functioning of goal systems in psychology, which are developed in the
paper. In this way we give a certain answer to the following striking question
in the world, where all things change (preferences, motivations, resistances,
etc.), where goal systems drive a lot of entwined course pursuits between means
and ends what can stay fixed for a while The obtained mathematical results and
new insights open the door to developing powerful models of adaptive behavior,
which strongly depart from pure static general equilibrium models of the
Walrasian type that are typical in economics.


title:
Variance and Covariance Inequalities for Truncated Joint Normal
  Distribution via Monotone Likelihood Ratio and Log-concavity

abstract:
  Let X Nv(0, {\Lambda}) be a normal vector in v dimensions, where {\Lambda} is
diagonal. With reference to the truncated distribution of X on the interior of
a v-dimensional Euclidean ball, we completely prove a variance inequality and a
covariance inequality that were recently discussed by F. Palombi and S. Toti
[J. Multivariate Anal. 122 (2013) 355-376]. These inequalities ensure the
convergence of an algorithm for the reconstruction of {\Lambda} only on the
basis of the covariance matrix of X truncated to the Euclidean ball. The
concept of monotone likelihood ratio is useful in our proofs. Moreover, we also
prove and utilize the fact that the cumulative distribution function of any
positive linear combination of independent chi-square variates is log-concave,
even though the same may not be true for the corresponding density function.


title: Thirty Femtograms Detection of Iron in Mammalian Cells

abstract:
  Inorganic nanomaterials and particles with enhanced optical, mechanical or
magnetic attributes are currently being developed for a wide range of
applications. Safety issues have been formulated however concerning their
potential cyto- and genotoxicity. For in vivo and in vitro experimentations,
recent developments have heightened the need of simple and facile methods to
measure the amount of nanoparticles taken up by cells or tissues. In this work,
we present a rapid and highly sensitive method for quantifying the uptake of
iron oxide nanoparticles in mammalian cells. Our approach exploits the
digestion of incubated cells with concentrated hydrochloric acid reactant and a
colorimetric based UV-Visible absorption technique. The technique allows the
detection of iron in cells over 4 decades in masses, from 0.03 to 300 picograms
per cell. Applied on particles of different surface chemistry and sizes, the
protocol demonstrates that the coating is the key parameter in the
nanoparticle/cell interactions. The data are corroborated by scanning and
transmission electron microscopy and stress the importance of resiliently
adsorbed nanoparticles at the plasma membrane.


title: Security versus Reliability Analysis of Opportunistic Relaying

abstract:
  Physical-layer security is emerging as a promising paradigm of securing
wireless communications against eavesdropping between legitimate users, when
the main link spanning from source to destination has better propagation
conditions than the wiretap link from source to eavesdropper. In this paper, we
identify and analyze the tradeoffs between the security and reliability of
wireless communications in the presence of eavesdropping attacks. Typically,
the reliability of the main link can be improved by increasing the source's
transmit power (or decreasing its date rate) to reduce the outage probability,
which unfortunately increases the risk that an eavesdropper succeeds in
intercepting the source message through the wiretap link, since the outage
probability of the wiretap link also decreases when a higher transmit power (or
lower date rate) is used. We characterize the security-reliability tradeoffs
(SRT) of conventional direct transmission from source to destination in the
presence of an eavesdropper, where the security and reliability are quantified
in terms of the intercept probability by an eavesdropper and the outage
probability experienced at the destination, respectively. In order to improve
the SRT, we then propose opportunistic relay selection (ORS) and quantify the
attainable SRT improvement upon increasing the number of relays. It is shown
that given the maximum tolerable intercept probability, the outage probability
of our ORS scheme approaches zero for $N \to \infty$, where $N$ is the number
of relays. Conversely, given the maximum tolerable outage probability, the
intercept probability of our ORS scheme tends to zero for $N \to \infty$.


title: Lecture notes about a simpler approach to Riemann integration

abstract:
  It is of course well known that the usual definitions of Riemann integration
and Riemann integrals are equivalent to simpler definitions which can be
expressed in terms of just one sequence of partitions, using dyadic intervals
or dyadic squares or dyadic cubes for univariate, double, or triple integrals
respectively. These lecture notes, intended mainly for undergraduates, present
and prove some basic standard results of Riemann integration in detail, taking
advantage of this simpler definition. The last section of the notes provides a
proof of the equivalence of this definition with the classical one. But the
implicit suggestion is that the classical definition need be the concern of
specialists only, and that regular students can probably do just about
everything that they need to do with Riemann integration by working only with
the simpler dyadic definition. This is a preliminary version of these notes
which will surely be updated later. It is very difficult to believe that there
do not exist any other documents which give a systematic treatment of Riemann
integration using this approach. The author would be very grateful for any
information about any such documents.


title:
Universal Scaling Law to Predict the Efficiency of Magnetic
  Nanoparticles as MRI T2-Contrast Agents

abstract:
  Magnetic particles are very efficient Magnetic Resonance Imaging (MRI)
contrast agents. In the recent years, chemists have unleashed their imagination
to design multi-functional nanoprobes for biomedical applications including MRI
contrast enhancement. This study is focused on the direct relationship between
the size and magnetization of the particles and their nuclear magnetic
resonance relaxation properties, which condition their efficiency. Experimental
relaxation results with maghemite particles exhibiting a wide range of sizes
and magnetizations are compared to previously published data and to
well-established relaxation theories with a good agreement. This allows
deriving the experimental master curve of the transverse relaxivity versus
particle size and to predict the MRI contrast efficiency of any type of
magnetic nanoparticles. This prediction only requires the knowledge of the size
of the particles impermeable to water protons and the saturation magnetization
of the corresponding volume. To predict the T2 relaxation efficiency of
magnetic single crystals, the crystal size and magnetization obtained through a
single Langevin fit of a magnetization curve is the only information needed.
For contrast agents made of several magnetic cores assembled into various
geometries (dilute fractal aggregates, dense spherical clusters, core-shell
micelles, hollow vesicles), one needs to know a third parameter, namely the
intra-aggregate volume fraction occupied by the magnetic materials relatively
to the whole (hydrodynamic) sphere. Finally a calculation of the maximum
achievable relaxation effect and the size needed to reach this maximum is
performed for different cases: maghemite single crystals and dense clusters,
core-shell particles (oxide layer around a metallic core) and zinc manganese
ferrite crystals.


title: Third Order Intermodulation Power Estimation for N Sinusoidal Channels

abstract:
  In this paper analysis is given to find the third order intermodulation power
given sinusoids are fed into a nonlinear device. A simple expression of the
third order intermodulation power is given for the case that the center
frequencies of the input sinusoids are equally spaced. Further, if the powers
of the signals are equal, the expression becomes a closed form expression. The
analysis will be helpful for communication system engineering in estimating the
adjacent channel interference due to nonlinearity. Numerical results are
presented for various values of (number of input channels). Though the analysis
assumes the input signals to be sinusoids without phase modulation, the third
order intermodulation power estimate serves as a good estimate for link budget
computation purpose. For the case that the center frequencies of the input
sinusoids are not spaced equally, the analysis can still highly likely be
applied if we insert pseudo channels in between the real channels so that all
(real and pseudo) channels are spaced equally (or approximately equally for
approximation). In this case, the pseudo channel powers are set to zero so that
the interference powers due to the pseudo channels will not be included in the
analysis. In other words, the analysis is highly likely applicable without the
constraint of the input channel center frequencies being equally likely.
Simulations are also provided for the case that the input sinusoids are QPSK
modulated.


title:
Approximation Algorithms for Regret-Bounded Vehicle Routing and
  Applications to Distance-Constrained Vehicle Routing

abstract:
  We consider vehicle-routing problems (VRPs) that incorporate the notion of
{\em regret} of a client, which is a measure of the waiting time of a client
relative to its shortest-path distance from the depot. Formally, we consider
both the additive and multiplicative versions of, what we call, the {\em
regret-bounded vehicle routing problem} (RVRP). In these problems, we are given
an undirected complete graph $G=(\{r\}\cup V,E)$ on $n$ nodes with a
distinguished root (depot) node $r$, edge costs $\{c_{uv}\}$ that form a
metric, and a regret bound $R$. Given a path $P$ rooted at $r$ and a node $v\in
P$, let $c_P(v)$ be the distance from $r$ to $v$ along $P$. The goal is to find
the fewest number of paths rooted at $r$ that cover all the nodes so that for
every node $v$ covered by (say) path $P$: (i) its additive regret
$c_P(v)-c_{rv}$, with respect to $P$ is at most $R$ in {\em additive-RVRP}; or
(ii) its multiplicative regret, $c_P(c)/c_{rv}$, with respect to $P$ is at most
$R$ in {\em multiplicative-RVRP}.
  Our main result is the {\em first} constant-factor approximation algorithm
for additive-RVRP by devising rounding techniques for a natural {\em
configuration-style LP}. This is a substantial improvement over the
previous-best $O(\log n)$-approximation. Additive-RVRP turns out be a rather
central vehicle-routing problem, whose study reveals insights into a variety of
other regret-related problems as well as the classical {\em
distance-constrained VRP} ({DVRP}). We obtain approximation ratios of
$O\bigl(\log(\frac{R}{R-1})\bigr)$ for multiplicative-RVRP, and
$O\bigl(\min\bigl\{\mathit{OPT},\frac{\log D}{\log\log D}\bigr\}\bigr)$ for
DVRP with distance bound $D$ via reductions to additive-RVRP; the latter
improves upon the previous-best approximation for DVRP.


title:
Weighted norm inequalities for fractional maximal operators--a Bellman
  function approach

abstract:
  We study classical weighted $L^p\to L^q$ inequalities for the fractional
maximal operators on $\R^d$, proved originally by Muckenhoupt and Wheeden in
the 70's. We establish a slightly stronger version of this inequality with the
use of a novel extension of Bellman function method.
  More precisely, the estimate is deduced from the existence of a certain
special function which enjoys appropriate majorization and concavity. From this
result and an explicit version of the ``$A_{p-\varepsilon}$ theorem," derived
also with Bellman functions, we obtain the sharp inequality of Lacey, Moen,
P\'erez and Torres.


title:
Research and innovative design of a zeroemissions vehicle by
  multidisciplinary student teams in multi-years

abstract:
  This paper presents a unique learning and research experience for students
from mechanical and electrical engineering majors in a course on senior design
projects involving research and development, design and production of a
proof-of-concept electric vehicle, the ZEM (Zero EMissions) vehicle. The ZEM
vehicle combined positive aspects and latest technologies in electric vehicle
design,solar-electric power conversions, and ergonomic human power into one
affordable and environmentally sustainable vehicle for urban transportation.
The 43 mechanical and 10 electrical engineering majors plus 7 students from
business participated in this multidisciplinary project spanned over two
academic years. The students involved in this multiyear endeavor gained
valuable experiences in real-world working environment with multifunctional and
multi-year sub-groups. The success of this new attempt in conducting senior
design projects classes have set a model for faculty members in the authors'
university in conducting similar courses.


title: Left-wing asymptotics of the implied volatility in the presence of atoms

abstract:
  We consider the asymptotic behavior of the implied volatility in stochastic
asset price models with atoms. In such models, the asset price distribution has
a singular component at zero. Examples of models with atoms include the
constant elasticity of variance model, jump-to-default models, and stochastic
models described by processes stopped at the first hitting time of zero. For
models with atoms, the behavior of the implied volatility at large strikes is
similar to that in models without atoms. On the other hand, the behavior of the
implied volatility at small strikes is influenced significantly by the atom at
zero. S. De Marco, C. Hillairet, and A. Jacquier found an asymptotic formula
for the implied volatility at small strikes with two terms and also provided an
incomplete description of the third term. In the present paper, we obtain a new
asymptotic formula for the left wing of the implied volatility, which is
qualitatively different from the De Marco-Hillairet-Jacquier formula. The new
formula contains three explicit terms and an error estimate. We show how to
derive the De Marco-Hillairet-Jacquier formula from our formula, and compare
the performance of the two formulas in the case of the CEV model. The resulting
graphs show that the new formula provides a notably better approximation to the
smile in the CEV model than the De Marco-Hillairet-Jacquier formula.


title:
Post-Newtonian approximation for isolated systems by matched asymptotic
  expansions I. General structure revisited

abstract:
  In recent years post-Newtonian approximations for isolated slowly-moving
systems in general relativity have been studied by means of matched asymptotic
expansions. A paper by Poujade & Blanchet in 2002 made great progress by
effectively reducing the use of such expansions to an algorithmic form. It gave
systematic procedures for the development of both near-zone and far-zone
asymptotic expansions, avoiding the divergent integrals which often bedevilled
such methods, and showed that these two expansions could be made to match
exactly, a result described there as somewhat remarkable.
  This paper revisits that work and shows that there is unfortunately an error
in it which invalidates the results of the matching process as given therein.
The present paper identifies that error and shows how it may be corrected to
give valid matching results. The correction is presented in a redevelopment
somewhat different from that of their paper. This shows that far from being
somewhat remarkable, it is in fact inevitable that the match is exact. It is
indeed remarkable that they could carry both expansions to the point at which
matching becomes possible, but if it can be done at all, then the match is
necessarily exact.
  A companion paper will apply this asymptotic matching to a model problem in
which the correct near-zone expansion was obtained by approximation from an
exact solution. It will be shown that there is a discrepancy between this
expansion and results from the original development of Poujade & Blanchet but
that the corrected development presented here reproduces the result of the
model problem exactly.


title:
Strong Enhancement of Thermal Properties of Copper Films after Chemical
  Vapor Deposition of Graphene

abstract:
  We demonstrated that chemical vapor deposition of graphene on Cu films
strongly enhances their thermal diffusivity and thermal conductivity.
Deposition of graphene increases the thermal conductivity of 9 micrometer (25
micrometer) thick Cu films by up to 24% (16%) near room temperature.
Interestingly, the observed improvement of thermal properties of graphene
coated Cu films is primarily due to changes in Cu morphology during graphene
deposition and associated with it temperature treatment rather than graphene's
action as an additional heat conducting channel. Enhancement of thermal
properties of metal films via graphene coating may lead to applications in
electronic circuits and metallurgy.


title: Nonlinear transport of Cosmic Rays in turbulent magnetic field

abstract:
  Recent advances in both the MHD turbulence theory and cosmic ray observations
call for revisions in the paradigm of cosmic ray transport. We use the models
of magnetohydrodynamic turbulence that were tested in numerical simulation, in
which turbulence is injected at large scale and cascades to to small scales. We
shall present the nonlinear results for cosmic ray transport, in particular,
the cross field transport of CRs and demonstrate that the concept of cosmic ray
subdiffusion in general does not apply and the perpendicular motion is well
described by normal diffusion with M_A^4 dependence. Moreover, on scales less
than injection scale of turbulence, CRs' transport becomes super-diffusive.
Quantitative predictions for both the normal diffusion on large scale and super
diffusion are confronted with recent numerical simulations. Implication for
shock acceleration is briefly discussed.


title: Collective behaviours: from biochemical kinetics to electronic circuits

abstract:
  In this work we aim to highlight a close analogy between cooperative
behaviors in chemical kinetics and cybernetics; this is realized by using a
common language for their description, that is mean-field statistical
mechanics. First, we perform a one-to-one mapping between paradigmatic
behaviors in chemical kinetics (i.e., non-cooperative, cooperative,
ultra-sensitive, anti-cooperative) and in mean-field statistical mechanics
(i.e., paramagnetic, high and low temperature ferromagnetic,
anti-ferromagnetic). Interestingly, the statistical mechanics approach allows a
unified, broad theory for all scenarios and, in particular, Michaelis-Menten,
Hill and Adair equations are consistently recovered. This framework is then
tested against experimental biological data with an overall excellent
agreement. One step forward, we consistently read the whole mapping from a
cybernetic perspective, highlighting deep structural analogies between the
above-mentioned kinetics and fundamental bricks in electronics (i.e.
operational amplifiers, flashes, flip-flops), so to build a clear bridge
linking biochemical kinetics and cybernetics.


title:
On the Determination of Elastic and Inelastic Nuclear Observables from
  Lattice QCD

abstract:
  One of the overarching goals of nuclear physics is to rigorously compute
properties of hadronic systems directly from the fundamental theory of the
strong interaction, Quantum Chromodynamics (QCD). Currently, lattice QCD (LQCD)
provides the only reliable option for performing calculations of low-energy
hadronic observables. LQCD calculations are necessarily performed in a finite
Euclidean spacetime. As a result, it is necessary to construct formalism that
maps the finite-volume observables determined via LQCD to the infinite-volume
quantities of interest. This methodology is commonly referred to as the Luscher
method, as it was Martin Luscher who first developed such formalism for scalar
bosons with zero total momentum below inelastic thresholds. In this work, we
review recent progress on the generalization of this formalism. We present a
detailed derivation of the extension of Luscher's seminal work for
multi-channel two-body scalar systems, two-nucleon non-relativistic systems,
and three-body non-relativistic scalar systems. For all of these scenarios we
allow for the total momenta of the systems of interest to be nonzero. We also
present steps towards being able to study weak processes involving two-nucleon
systems, in particular we show how to determine the transition amplitude for
proton-proton fusion (pp->e^+ + nu_e) directly from LQCD.


title: Packing and Covering a Polygon with Geodesic Disks

abstract:
  Given a polygon $P$, for two points $s$ and $t$ contained in the polygon,
their \emph{geodesic distance} is the length of the shortest $st$-path within
$P$. A \emph{geodesic disk} of radius $r$ centered at a point $v \in P$ is the
set of points in $P$ whose geodesic distance to $v$ is at most $r$. We present
a polynomial time $2$-approximation algorithm for finding a densest geodesic
unit disk packing in $P$. Allowing arbitrary radii but constraining the number
of disks to be $k$, we present a $4$-approximation algorithm for finding a
packing in $P$ with $k$ geodesic disks whose minimum radius is maximized. We
then turn our focus on \emph{coverings} of $P$ and present a $2$-approximation
algorithm for covering $P$ with $k$ geodesic disks whose maximal radius is
minimized. Furthermore, we show that all these problems are $\mathsf{NP}$-hard
in polygons with holes. Lastly, we present a polynomial time exact algorithm
which covers a polygon with two geodesic disks of minimum maximal radius.


title: On Lobachevsky's trigonometric formulae

abstract:
  We elaborate on some important ideas contained in Lobachevsky's Pangeometry
and in some of his other memoirs. The ideas include the following: (1) The
trigonometric formulae, which express the dependence between angles and edges
of triangles, are not only tools, but they are used as the basic elements of
any geometry. In fact, Lobachevsky developed a large set of analytical and
geometrical theorems in non-Euclidean geometry using these formulae. (2)
Differential and integral calculus are developed in hyperbolic space without
the use of any Euclidean model of hyperbolic space. (3) There exist models of
spherical and of Euclidean geometry within hyperbolic geometry, and these
models are used to prove the hyperbolic trigonometry formulae. (4) If
hyperbolic geometry were contradictory, then either Euclidean or spherical
geometry would be contradictory. We shall also see that some of these ideas
were rediscovered by later mathematicians.


title: Terahertz Science and Technology of Carbon Nanomaterials

abstract:
  The diverse applications of terahertz radiation and its importance to
fundamental science makes finding ways to generate, manipulate, and detect
terahertz radiation one of the key areas of modern applied physics. One
approach is to utilize carbon nanomaterials, in particular, single-wall carbon
nanotubes and graphene. Their novel optical and electronic properties offer
much promise to the field of terahertz science and technology. This article
describes the past, current, and future of the terahertz science and technology
of carbon nanotubes and graphene. We will review fundamental studies such as
terahertz dynamic conductivity, terahertz nonlinearities, and ultrafast carrier
dynamics as well as terahertz applications such as terahertz sources,
detectors, modulators, antennas, and polarizers.


title:
Decorrelation estimates for random discrete Schr\"odinger operators in
  dimension one and applications to spectral statistics

abstract:
  The purpose of the present work is to establish decorrelation estimates for
some random discrete Schrodinger operator in dimension one. We prove that the
Minami estimates are consequences of the Wegner estimates and Localization. We
also prove decorrelation estimates at distinct energies for the random hopping
model and Schrodinger operators with alloy-type potentials. These results are
used to give a description of the spectral statistics.


title: Carbon neutron star atmospheres

abstract:
  The accuracy of measuring the basic parameters of neutron stars is limited in
particular by uncertainties in chemical composition of their atmospheres. For
example, atmospheres of thermally - emitting neutron stars in supernova
remnants might have exotic chemical compositions, and for one of them, the
neutron star in CasA, a pure carbon atmosphere has recently been suggested by
Ho & Heinke (2009). To test such a composition for other similar sources, a
publicly available detailed grid of carbon model atmosphere spectra is needed.
We have computed such a grid using the standard LTE approximation and assuming
that the magnetic field does not exceed 10^8 G. The opacities and pressure
ionization effects are calculated using the Opacity Project approach. We
describe the properties of our models and investigate the impact of the adopted
assumptions and approximations on the emergent spectra.


title: Wanted! Nuclear Data for Dark Matter Astrophysics

abstract:
  Astronomical observations from small galaxies to the largest scales in the
universe can be consistently explained by the simple idea of dark matter. The
nature of dark matter is however still unknown. Empirically it cannot be any of
the known particles, and many theories postulate it as a new elementary
particle. Searches for dark matter particles are under way: production at
high-energy accelerators, direct detection through dark matter-nucleus
scattering, indirect detection through cosmic rays, gamma rays, or effects on
stars. Particle dark matter searches rely on observing an excess of events
above background, and a lot of controversies have arisen over the origin of
observed excesses. With the new high-quality cosmic ray measurements from the
AMS-02 experiment, the major uncertainty in modeling cosmic ray fluxes is in
the nuclear physics cross sections for spallation and fragmentation of cosmic
rays off interstellar hydrogen and helium. The understanding of direct
detection backgrounds is limited by poor knowledge of cosmic ray activation in
detector materials, with order of magnitude differences between simulation
codes. A scarcity of data on nucleon spin densities blurs the connection
between dark matter theory and experiments. What is needed, ideally, are more
and better measurements of spallation cross sections relevant to cosmic rays
and cosmogenic activation, and data on the nucleon spin densities in nuclei.


title:
Variable density sampling with continuous trajectories. Application to
  MRI

abstract:
  Reducing acquisition time is a crucial challenge for many imaging techniques.
Compressed Sensing (CS) theory offers an appealing framework to address this
issue since it provides theoretical guarantees on the reconstruction of sparse
signals by projection on a low dimensional linear subspace. In this paper, we
focus on a setting where the imaging device allows to sense a fixed set of
measurements. We first discuss the choice of an optimal sampling subspace
(smallest subset) allowing perfect reconstruction of sparse signals. Its
standard design relies on the random drawing of independent measurements. We
discuss how to select the drawing distribution and show that a mixed strategy
involving partial deterministic sampling and independent drawings can help
breaking the so-called "coherence barrier". Unfortunately, independent random
sampling is irrelevant for many acquisition devices owing to acquisition
constraints. To overcome this limitation, the notion of Variable Density
Samplers (VDS) is introduced and defined as a stochastic process with a
prescribed limit empirical measure. It encompasses samplers based on
independent measurements or continuous curves. The latter are crucial to extend
CS results to actual applications. Our main contribution lies in two original
continuous VDS. The first one relies on random walks over the acquisition space
whereas the second one is heuristically driven and rests on the approximate
solution of a Traveling Salesman Problem. Theoretical analysis and
retrospective CS simulations in magnetic resonance imaging highlight that the
TSP-based solution provides improved reconstructed images in terms of
signal-to-noise ratio compared to standard sampling schemes (spiral, radial, 3D
iid...).


title: Homogenization of elliptic equations with large random potential

abstract:
  We consider an elliptic equation with purely imaginary, highly heterogeneous,
and large random potential with a sufficiently rapidly decaying correlation
function. We show that its solution is well approximated by the solution to a
homogeneous equation with a real-valued homogenized potential as the
correlation length of the random medium $\varepsilon\rightarrow 0$ and estimate
the size of the random fluctuations in the setting $d\geq3$.


title:
No Free Lunch Theorem and Bayesian probability theory: two sides of the
  same coin. Some implications for black-box optimization and metaheuristics

abstract:
  Challenging optimization problems, which elude acceptable solution via
conventional calculus methods, arise commonly in different areas of industrial
design and practice. Hard optimization problems are those who manifest the
following behavior: a) high number of independent input variables; b) very
complex or irregular multi-modal fitness; c) computational expensive fitness
evaluation. This paper will focus on some theoretical issues that have strong
implications for practice. I will stress how an interpretation of the No Free
Lunch theorem leads naturally to a general Bayesian optimization framework. The
choice of a prior over the space of functions is a critical and inevitable step
in every black-box optimization.


title:
Fermi Surface and Band Structure of (Ca,La)FeAs2 Superconductor from
  Angle-Resolved Photoemission Spectroscopy

abstract:
  The (Ca,R)FeAs2 (R=La,Pr and etc.) superconductors with a signature of
superconductivity transition above 40 K possess a new kind of block layers that
consist of zig-zag As chains. In this paper, we report the electronic structure
of the new (Ca,La)FeAs2 superconductor investigated by both band structure
calculations and high resolution angle-resolved photoemission spectroscopy
measurements. Band structure calculations indicate that there are four
hole-like bands around the zone center $\Gamma$(0,0) and two electron-like
bands near the zone corner M(pi,pi) in CaFeAs2. In our angle-resolved
photoemission measurements on (Ca0.9La0.1})FeAs2, we have observed three
hole-like bands around the Gamma point and one electron-like Fermi surface near
the M(pi,pi) point. These results provide important information to compare and
contrast with the electronic structure of other iron-based compounds in
understanding the superconductivity mechanism in the iron-based
superconductors.


title:
Asymptotic properties of Brownian motion delayed by inverse
  subordinators

abstract:
  We study the asymptotic behaviour of the time-changed stochastic process
$\vphantom{X}^f\!X(t)=B(\vphantom{S}^f\!S (t))$, where $B$ is a standard
one-dimensional Brownian motion and $\vphantom{S}^f\!S$ is the (generalized)
inverse of a subordinator, i.e. the first-passage time process corresponding to
an increasing L\'evy process with Laplace exponent $f$. This type of processes
plays an important role in statistical physics in the modeling of anomalous
subdiffusive dynamics. The main result of the paper is the proof of the mixing
property for the sequence of stationary increments of a subdiffusion process.
We also investigate various martingale properties, derive a generalized
Feynman-Kac formula, the laws of large numbers and of the iterated logarithm
for $\vphantom{X}^f\!X$.


title: Large solutions to elliptic equations involving fractional Laplacian

abstract:
  In this article, we study the boudary blow-up solutions for semilinear
fractional equations with power absorption. Our main purpose is to obtain the
existence, nonuniqueness and behavior asymptotic near the boundary.


title: Build Electronic Arabic Lexicon

abstract:
  There are many known Arabic lexicons organized on different ways, each of
them has a different number of Arabic words according to its organization way.
This paper has used mathematical relations to count a number of Arabic words,
which proofs the number of Arabic words presented by Al Farahidy. The paper
also presents new way to build an electronic Arabic lexicon by using a hash
function that converts each word (as input) to correspond a unique integer
number (as output), these integer numbers will be used as an index to a lexicon
entry.


title: Multi-agent flocking under topological interactions

abstract:
  In this paper, we consider a multi-agent system consisting of mobile agents
with second-order dynamics. The communication network is determined by the
so-called topological interaction rule: agents interact with a fixed number of
their closest neighbors. This rule comes from observations of real flock of
starlings. The non-symmetry of the interactions adds to the difficulty of the
analysis. The goal of this paper is to determine practical conditions (on the
initial positions and velocities of agents) ensuring that the agents
asymptotically agree on a common velocity (\ie a flocking behavior is
achieved). For this purpose, we define a notion of hierarchical structure in
the interaction graph which allows to establish such conditions, building upon
previous work on multi-agent systems with switching communication networks.
Though conservative, our approach gives conditions that can be verified a
priori. Our result is illustrated through simulations.


title: Irrational behavior of algebraic discrete valuations

abstract:
  We study algebraic discrete valuations dominating normal local domains of
dimension two. We construct a family of examples to show that the
Hilbert-Samuel function of the associated graded ring of the valuation can fail
to be asymptotically of the form: quasi-polynomial plus a bounded function. We
also show that the associated multiplicity can be irrational, or even
transcendental.


title: On the Design and Analysis of Multiple View Descriptors

abstract:
  We propose an extension of popular descriptors based on gradient orientation
histograms (HOG, computed in a single image) to multiple views. It hinges on
interpreting HOG as a conditional density in the space of sampled images, where
the effects of nuisance factors such as viewpoint and illumination are
marginalized. However, such marginalization is performed with respect to a very
coarse approximation of the underlying distribution. Our extension leverages on
the fact that multiple views of the same scene allow separating intrinsic from
nuisance variability, and thus afford better marginalization of the latter. The
result is a descriptor that has the same complexity of single-view HOG, and can
be compared in the same manner, but exploits multiple views to better trade off
insensitivity to nuisance variability with specificity to intrinsic
variability. We also introduce a novel multi-view wide-baseline matching
dataset, consisting of a mixture of real and synthetic objects with ground
truthed camera motion and dense three-dimensional geometry.


title: Skin Texture Recognition Using Neural Networks

abstract:
  Skin recognition is used in many applications ranging from algorithms for
face detection, hand gesture analysis, and to objectionable image filtering. In
this work a skin recognition system was developed and tested. While many skin
segmentation algorithms relay on skin color, our work relies on both skin color
and texture features (features derives from the GLCM) to give a better and more
efficient recognition accuracy of skin textures. We used feed forward neural
networks to classify input textures images to be skin or non skin textures. The
system gave very encouraging results during the neural network generalization
face.


title:
A Quantum Probability Explanation in Fock Space for Borderline
  Contradictions

abstract:
  The construction of a consistent theory for structuring and representing how
concepts combine and interact is one of the main challenges for the scholars
involved in cognitive studies. All traditional approaches are still facing
serious hindrances when dealing with combinations of concepts and concept
vagueness. One of the main consequences of these difficulties is the existence
of borderline cases which is hardly explainable from the point of view of
classical (fuzzy set) logic and probability theory. Resting on a
quantum-theoretic approach which successfully models conjunctions and
disjuncions of two concepts, we propound a quantum probability model in Fock
space which accords with the experimental data collected by Alxatib and
Pelletier (2011) on borderline contradictions. Our model allows one to explain
the occurrence of the latter contradictions in terms of genuine quantum
effects, such as contextuality, superposition, interference and emergence. In
particular, we claim that it is the specific mechanism of `emergence of a new
concept' that is responsible of these deviations from classical logical
thinking in the cognitive studies on human thought. This result seems to be
compatible with a recent interesting application of quantum probabilistic
modeling in the study of borderline vagueness (Blutner, Pothos & Bruza, 2012),
and analogies and differences with it are sketched here.


title:
Source Number Estimation via Entropy Estimation of Eigenvalues (EEE) in
  Gaussian and Non-Gaussian Noise

abstract:
  In this paper, a novel method based on the entropy estimation of the
observation space eigenvalues is proposed to estimate the number of the sources
in Gaussian and Non-Gaussian noise. In this method, the eigenvalues of
correlation matrix of the observation space will be divided by two sets:
eigenvalues of signal subspace and eigenvalues of noise subspace. We will use
estimated entropy of eigenvalues to determine the number of sources. In this
method we do not need any a priory information about signals and noise. The
advantages of the proposed algorithm based on the performance is compared with
the existing methods in the presence of Gaussian and Non-Gaussian noise. We
have shown that our proposed method outperforms those methods in the
literature, for different values of observation time and Signal to Noise Ratio,
i. e. SNR. It is shown that the algorithm is consistent and also its
probability of false alarm and probability of missed detection tend to zero for
long observation time.


title: Tangent spaces to motivic cohomology groups

abstract:
  BY using Green-Griffiths' results on tangent spaces to algebraic cycles [4],
we study the tangent space to $CH^{2}(X,1)$, where $X$ is a nonsingular
projective curve over a field $k$ of characteristic $0$.