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 NiuThe 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 PhysicsVolume
163Issue
6Pages
1486 - 1503Citation
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/Publication date
2016-04-26ISSN
0022-4715eISSN
1572-9613Publisher version
Language
- en
