Rigorous Approximation of Diffusion Coefficients for Expanding Maps.

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Bibliographic Details
Title: Rigorous Approximation of Diffusion Coefficients for Expanding Maps.
Authors: Bahsoun, Wael1 W.Bahsoun@lboro.ac.uk, Galatolo, Stefano2, Nisoli, Isaia3, Niu, Xiaolong1
Source: Journal of Statistical Physics. Jun2016, Vol. 163 Issue 6, p1486-1503. 18p.
Subjects: Transfer operators, Central limit theorem, Diffusion coefficients, Algorithms, Mathematics theorems, Fourier transforms
Abstract: We use Ulam's method to provide rigorous approximation of diffusion coefficients for uniformly expanding maps. An algorithm is provided and its implementation is illustrated using Lanford's map. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:We use Ulam's method to provide rigorous approximation of diffusion coefficients for uniformly expanding maps. An algorithm is provided and its implementation is illustrated using Lanford's map. [ABSTRACT FROM AUTHOR]
ISSN:00224715
DOI:10.1007/s10955-016-1523-y