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arXiv · 1409.6909

Rigorous approximation of diffusion coefficients for expanding maps

Wael Bahsoun·Stefano Galatolo·Isaia Nisoli·Xiaolong Niu
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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.

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Wael Bahsoun, Stefano Galatolo, Isaia Nisoli, Xiaolong Niu. 2014-09-24. Rigorous approximation of diffusion coefficients for expanding maps. https://arxiv.org/abs/1409.6909

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