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Rigorous numerical approximation of escape rates
An interval map with holes is a mathematical model which is used in the study of nonequilibrium statistical mechanics. We use Ulam's method to approximate the escape rate for an interval map with holes and find a bound on the approximation error.
Funding
WB is a recipient of PIMS postdoctoral fellowship.
History
School
- Science
Department
- Mathematical Sciences
Published in
NonlinearityVolume
19Pages
. 2529 - 2542Citation
BAHSOUN, W., 2006. Rigorous numerical approximation of escape rates. Nonlinearity, 19 (11), pp.2529-2542.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
2006ISSN
0951-7715eISSN
1361-6544Publisher version
Language
- en