Decay of correlations for Fibonacci unimodal interval maps

DOI10.1007/s10114-017-6438-2zbMath1384.37049OpenAlexW2749665190MaRDI QIDQ1698326

Rui Gao, Wei Xiao Shen

Publication date: 15 February 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-017-6438-2

zbMATH Keywords

unimodal mapdecay of correlationsabsolutely continuous invariant probabilityFibonacci combinatorics

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving maps of the interval (37E05)

Related Items (3)

Invariant measures for interval maps without Lyapunov exponents ⋮ On the combinatorics of Fibonacci-like non-renormalizable maps ⋮ The attractor of Fibonacci-like renormalization operator

Cites Work

• Unnamed Item
• Non-uniform hyperbolicity and universal bounds for \(S\)-unimodal maps
• Recurrence times and rates of mixing
• Subexponential decay of correlations
• Invariant measures exist without a growth condition
• Decay of geometry for unimodal maps: an elementary proof
• A new class of generalized Fibonacci unimodal maps
• Exponents, attractors and Hopf decompositions for interval maps
• Decay of correlations for nonuniformly expanding systems
• The Fibonacci Unimodal Map
• Fibonacci maps re(aℓ)visited
• Real bounds, ergodicity and negative Schwarzian for multimodal maps
• Statistical properties of one-dimensional maps under weak hyperbolicity assumptions
• Statistical properties of topological Collet–Eckmann maps
• Getting rid of the negative Schwarzian derivative condition

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