Rigorous pointwise approximations for invariant densities of non-uniformly expanding maps

DOI10.1017/etds.2013.91zbMath1355.37058arXiv1301.4033OpenAlexW2116751377MaRDI QIDQ5262254

Yuejiao Duan, Wael Bahsoun, Christopher J. Bose

Publication date: 13 July 2015

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.4033

zbMATH Keywords

interval mapsneutral fixed pointUlam-type discretization

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) 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 (7)

Arcsine and Darling–Kac laws for piecewise linear random interval maps ⋮ Rigorous approximation of diffusion coefficients for expanding maps ⋮ Parameter estimation in Manneville-Pomeau processes ⋮ Rigorous computation of linear response for intermittent maps ⋮ A rigorous computational approach to linear response ⋮ Linear response in the intermittent family: differentiation in a weighted \(C^0\)-norm ⋮ Invariant densities for intermittent maps with critical points

Cites Work

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• Metastability of certain intermittent maps
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• A convergence rate analysis for markov finite approximations to a class of Frobenius-Perron operators
• Decay of correlations for piecewise smooth maps with indifferent fixed points
• Ruelle Perron Frobenius spectrum for Anosov maps
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