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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 ...
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...
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...
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 ...
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...
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...
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...
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...
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...
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...
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 ...
In problems of estimation and control which involve a network, efficient distributed computation of averages is a key issue.

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