Statistical properties of topological Collet–Eckmann maps

DOI10.1016/j.ansens.2006.11.002zbMath1115.37048arXivmath/0603459OpenAlexW2064375896WikidataQ126254305 ScholiaQ126254305MaRDI QIDQ5297494

Juan Rivera-Letelier, Feliks Przytycki

Publication date: 11 July 2007

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603459

zbMATH Keywords

Hausdorff dimensioninvariant measurecentral limit theoremmixingrational mapsconformal measureinduced mapsnon-uniform hyperbolicity conditiontopological Collet-Eckmann condition

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Ergodic theorems, spectral theory, Markov operators (37A30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (29)

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