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An important approach to establishing stochastic behavior of dynamical systems is based on the study of systems expanding a foliation and of measures having smooth densities along
the leaves of this ...
EVOLUTION OF ADIABATIC INVARIANTS IN STOCHASTIC AVERAGING
STOCHASTIC AVERAGING ADIABATIC INVARIANTS
2015/9/29
An averaging problem with Markov fast motion is
considered. The di usive limit is obtained for the evolution of adabatic invariants under the assumption that the averaged motion
is ergodic on almost...
AVERAGING OF HAMILTONIAN FLOWS WITH AN ERGODIC COMPONENT
ERGODIC COMPONENT Unperturbed flow
2015/9/29
We consider a process on T2, which consists of fast motion along the
stream lines of an incompressible periodic vector field perturbed by white
noise. It gives rise to a process on the graph n...
Averaging of incompressible ows on two-dimensional surfaces
two-dimensional surfaces incompressible
2015/9/29
We consider a process on a compact two-dimensional surface which consists
of the fast motion along the stream lines of an incompressible periodic vector eld
perturbed by white noise. It gives rise ...
SPEECH NOISE ESTIMATION USING ENHANCED MINIMA CONTROLLED RECURSIVE AVERAGING
noise power spectrum estimation noise control speech enhancement noise cancellation filter
2015/9/29
Accurate noise power spectrum estimation in a noisy speech signal is a key challenge problem in speech enhancement.One state-of-the-art approach is the minima controlledrecursive averaging (MCRA). Thi...
Averaging of Hamiltonian Flows with an Ergodic Component
Rapid movement white noise the vector field perturbation function
2015/9/28
We consider a process on T 2, which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise to a process on the grap...
Averaging principle for quasi-linear parabolic PDE’s and related diffusion processes
Quasi linear disturbance two dimensional flow parabola and small parameter
2015/9/28
Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding parabolic PDE’s with a small parameter at the second order derivatives are considered in th...
Averaging of incompressible flows on two-dimensional surfaces
Averaging Markov Process Incompressible Flow Gluing Conditions Diffusion on a Graph
2015/9/25
We consider a process on a compact two-dimensional surface which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise t...
SELF-AVERAGING FROM LATERAL DIVERSITY IN THE ITO-SCHRODINGER EQUATION
Random media Parabolic approximation Stochastic partial differential equations
2015/7/14
We consider the random Schrodinger equation as it arises in the paraxial regime for wave propagation in random media. In the white noise limit it becomes the Ito-Schrodinger stochastic partial differe...
We consider an elliptic eigenvalue problem with a fast cellular flow of amplitude A, in a twodimensional domain with L2 cells. For fixed A, and L → ∞, the problem homogenizes, and has been well studie...
Typically, models with a heterogeneous property are considerably harder to analyze than the corresponding homogeneous models, in which the heterogeneous property is replaced with its average value. In...
Stochastic averaging lemmas for kinetic equations
Stochastic kinetic equations stochastic conservation laws averaging lemmas fractional Sobolev spaces
2012/4/17
We develop a class of averaging lemmas for stochastic kinetic equations. The velocity is multiplied by a white noise which produces a remarkable change in time scale. Compared to the deterministic cas...
Averaging approximation to singularly perturbed nonlinear stochastic wave equations
stochastic nonlinear wave equations averaging tightness martingale
2011/9/16
Abstract: An averaging method is applied to derive effective approximation to the following singularly perturbed nonlinear stochastic damped wave equation \nu u_{tt}+u_t=\D u+f(u)+\nu^\alpha\dot{W} on...
Abstract: We prove that a sequence of averaged quantities $\int_{\R^m}h_n(x,p)\rho(p)dp$, $n\in \N$, is strongly precompact in $L^1_{loc}(\R^d)$, where $\rho\in C_0(\R^m)$, and $h_n\in L^p(\R^d\times ...
The asymptotical error of broadcast gossip averaging algorithms
asymptotical error of broadcast gossip algorithms
2011/2/21
In problems of estimation and control which involve a network, efficient distributed computation of averages is a key issue.