Convergence to the time average by stochastic regularization
Dynamical Systems
2012-07-23 v1 Analysis of PDEs
Abstract
We compare the rate of convergence to the time average of a function over an integrable Hamiltonian flow with the one obtained by a stochastic perturbation of the same flow. Precisely, we provide detailed estimates in different Fourier norms and we prove the convergence even in a Sobolev norm for a special vanishing limit of the stochastic perturbation.
Cite
@article{arxiv.1207.4897,
title = {Convergence to the time average by stochastic regularization},
author = {Olga Bernardi and Franco Cardin and Massimiliano Guzzo},
journal= {arXiv preprint arXiv:1207.4897},
year = {2012}
}