S-unimodal Misiurewicz maps with flat critical points

DOI10.4064/fm181-1-1zbMath1065.28009OpenAlexW2004700796MaRDI QIDQ4811325

Roland Zweimüller

Publication date: 19 August 2004

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/fm/Inf/181-1-1.html

zbMATH Keywords

central limit theoremslow mixingstable limit lawneutral orbit

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Measure-preserving transformations (28D05) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the interval (37E05) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (11)

Limit theory for the sample autocovariance for heavy-tailed stationary infinitely divisible processes generated by conservative flows ⋮ Measure preserving transformations similar to Markov shifts ⋮ Repellers for non-uniformly expanding maps with singular or critical points ⋮ Infinite measure preserving transformations with compact first regeneration ⋮ Return- and hitting-time distributions of small sets in infinite measure preserving systems ⋮ On cusps and flat tops ⋮ Wild attractors and thermodynamic formalism ⋮ Some dynamical properties of Benford sequences ⋮ The pressure function for infinite equilibrium measures ⋮ Large deviation principle for \(S\)-unimodal maps with flat critical points ⋮ Subexponential instability in one-dimensional maps implies infinite invariant measure

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