Rigorous approximation of diffusion coefficients for expanding maps

DOI10.1007/s10955-016-1523-yzbMath1360.37177arXiv1409.6909OpenAlexW2211892999WikidataQ59469408 ScholiaQ59469408MaRDI QIDQ310035

Wael Bahsoun, Xiaolong Niu, Stefano Galatolo, Isaia Nisoli

Publication date: 7 September 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6909

zbMATH Keywords

diffusioncentral limit theoremtransfer operatorsrigorous computationUlam's method

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stability, separation, extension, and related topics for functional equations (39B82) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving maps of the interval (37E05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items

Accurate bounds on Lyapunov exponents for expanding maps of the interval, Explicit examples in ergodic optimization, Fourier approximation of the statistical properties of Anosov maps on tori, A rigorous computational approach to linear response, Spectral Galerkin methods for transfer operators in uniformly expanding dynamics, Rigorous computation of diffusion coefficients for expanding maps, Stability and approximation of statistical limit laws for multidimensional piecewise expanding maps, Locating Ruelle–Pollicott resonances*

Uses Software

• mctoolbox

Cites Work

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