Escape rates formulae and metastablilty for randomly perturbed maps
journal contribution
posted on 2017-09-01, 08:30 authored by Wael BahsounWael Bahsoun, Sandro VaientiWe provide escape rates formulae for piecewise expanding interval maps with 'random holes'. Then we obtain rigorous approximations of invariant densities of randomly perturbed metastable interval maps. We show that our escape rates formulae can be used to approximate limits of invariant densities of randomly perturbed metastable systems.
Funding
SV research was supported by the ANR ‘Perturbations’, and by the CNRS-PEPS ‘Mathematical methods of climate models’ and by the CNRS-PICS N 05968.
History
School
- Science
Department
- Mathematical Sciences
Published in
NonlinearityVolume
26Issue
5Pages
1415 - 1438Citation
BAHSOUN, W. and VAIENTI, S., 2013. Escape rates formulae and metastablilty for randomly perturbed maps. Nonlinearity, 26 (5), pp.1415-1438.Publisher
© IOP and London Mathematical SocietyVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2013ISSN
0951-7715eISSN
1361-6544Publisher version
Language
- en
