Analysis of stochastic models of networks is quite important in light of
the huge influx of network data in social, information and bio sciences, but
a proper statistical analysis of features of different stochastic models of networks
is still underway.We propose bootstrap subsampling methods for finding
empirical distribution of count...
The purpose of this note is to provide a coupling of weak limits in distribution of sequence of (normalized) multiplicative cascade measures under strong disorder in terms of the extremes of an associated branching random walk, assuming i.i.d positive, non-lattice bond weights and a second moment condition. The solution is...
We propose generalized additive partial linear models for complex data
which allow one to capture nonlinear patterns of some covariates, in the presence
of linear components. The proposed method improves estimation efficiency
and increases statistical power for correlated data through incorporating
the correlation information. A unique feature of the proposed...
This article concerns a systemic manifestation of small scale interfacial
heterogeneities in large scale quantities of interest to a variety of
diverse applications spanning the earth, biological and ecological sciences.
Beginning with formulations in terms of partial differential equations governing
the conservative, advective-dispersive transport of mass concentrations
in divergence form,...
Advective skew dispersion is a natural Markov process defined ned
by a di ffusion with drift across an interface of jump discontinuity in
a piecewise constant diff usion coeffcient. In the absence of drift this
process may be represented as a function of -skew Brownian motion
for a uniquely determined...
Importance sampling algorithms are discussed in detail, with an emphasis on implicit sampling, and applied to data assimilation via particle filters. Implicit sampling makes it possible to use the data to find high-probability samples at relatively low cost, making the assimilation more efficient. A new analysis of the feasibility of...
We address the long-time behavior of a non-rotational von Karman plate in an inviscid potential flow. The model arises in aeroelasticity and models the interaction between a thin, nonlinear panel and a flow of gas in which it is immersed [6, 21, 23]. Recent results in [16, 18] show that...
We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are treated with Neumann type flow conditions, and a novel treatment of the so called Kutta-Joukowsky flow conditions are given in the subsonic case. The...
We compare two families of continued fractions algorithms, the
symmetrized Rosen algorithm and the Veech algorithm. Each of these algorithms
expands real numbers in terms of certain algebraic integers. We give
explicit models of the natural extension of the maps associated with these algorithms;
prove that these natural extensions are...
We derive the fundamental solution of the linearized problem of
the motion of a viscous
uid around a rotating body when the axis of rotation
of the body is not parallel to the velocity of the
uid at infinity.