Rigorous approximation of diffusion coefficients for expanding maps
Dynamical Systems
2016-04-13 v4
Abstract
We use Ulam's method to provide rigorous approximation of diffusion coefficients for uniformly expanding maps. An algorithm is provided and its implementation is illustrated using Lanford's map.
Keywords
Cite
@article{arxiv.1409.6909,
title = {Rigorous approximation of diffusion coefficients for expanding maps},
author = {Wael Bahsoun and Stefano Galatolo and Isaia Nisoli and Xiaolong Niu},
journal= {arXiv preprint arXiv:1409.6909},
year = {2016}
}
Comments
In this version Lanford's map has been used to illustrate the computer implementation of the algorithm. To appear in Journal of Statistical Physics