Rigorous approximation of diffusion coefficients for expanding maps

Bahsoun, Wael; Galatolo, Stefano; Nisoli, Isaia; Niu, Xiaolong

Bahsoun_et_al.,_2016.pdf (405.65 kB)

Rigorous approximation of diffusion coefficients for expanding maps

journal contribution

posted on 2016-06-10, 10:11 authored by Wael BahsounWael Bahsoun, Stefano Galatolo, Isaia Nisoli, Xiaolong Niu

The use of computers is essential for predicting and understanding the behaviour of many physical systems. Sensitive dependence on initial conditions is typical in many physical systems. This sensitivity problem raises nontrivial reliability and stability issues regarding any computational approach to such systems. Moreover, it strongly motivates the study of reliable computational methods for understanding statistical properties of physical systems.

Funding

WB and SG would like to thank The Leverhulme Trust for supporting mutual research visits through the Network Grant IN-2014-021. The research of SG and IN is partially supported by EU Marie-Curie IRSES “Brazilian-European partnership in Dynamical Systems” (FP7-PEOPLE-2012-IRSES 318999 BREUDS).

History

School

Science

Department

Mathematical Sciences

Published in

Journal of Statistical Physics

Volume

163

Issue

6

Pages

1486 - 1503

Citation

BAHSOUN, W. et al., 2016. Rigorous approximation of diffusion coefficients for expanding maps. Journal of Statistical Physics, 163 (6), pp.1486-1503.

Publisher

Springer (© the authors)

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/ by/4.0/