An elementary way to rigorously estimate convergence to equilibrium and escape rates
Dynamical Systems
2015-01-27 v2
Abstract
We show an elementary method to have (finite time and asymptotic) computer assisted explicit upper bounds on convergence to equilibrium (decay of correlations) and escape rate for systems satisfying a Lasota Yorke inequality. The bounds are deduced by the ones of suitable approximations of the system's transfer operator. We also present some rigorous experiment showing the approach and some concrete result.
Keywords
Cite
@article{arxiv.1404.7113,
title = {An elementary way to rigorously estimate convergence to equilibrium and escape rates},
author = {Stefano Galatolo and Isaia Nisoli and Benoît Saussol},
journal= {arXiv preprint arXiv:1404.7113},
year = {2015}
}
Comments
14 pages, 6 figures