Multifractal formalism for Benedicks–Carleson quadratic maps

DOI10.1017/etds.2012.188zbMath1314.37024arXiv1112.1827OpenAlexW2051622369MaRDI QIDQ2925259

Yong Moo Chung, Hiroki Takahasi

Publication date: 21 October 2014

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

Full work available at URL: https://arxiv.org/abs/1112.1827

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Dimension theory of smooth dynamical systems (37C45)

Related Items (9)

Birkhoff spectrum for Hénon-like maps at the first bifurcation ⋮ Equilibrium states, pressure and escape for multimodal maps with holes ⋮ Contracting singular horseshoe ⋮ Multifractal analysis of ergodic averages in some non-uniformly hyperbolic systems ⋮ Birkhoff spectrum for piecewise monotone interval maps ⋮ Lyapunov spectrum for Hénon-like maps at the first bifurcation ⋮ Large deviation principle for \(S\)-unimodal maps with flat critical points ⋮ Large deviation principle in one-dimensional dynamics ⋮ Multifractal spectrum of quotients of Birkhoff averages for a family of quadratic maps

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