Absolutely continuous invariant measures for \(C^ 2\) unimodal maps satisfying the Collet-Eckmann conditions

DOI10.1007/BF01410202zbMath0659.58034MaRDI QIDQ1112403

Sebastian J. van Strien, Tomasz Nowicki

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/143611

zbMATH Keywords

Schwarzian derivativeperiodic orbitsCollet-Eckmann conditioninvariant measurenon-flat critical point\(C^ 2\)-unimodal map

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Iteration of real functions in one variable (26A18) Ergodic theory (37A99)

Related Items

Positive Lyapunov exponent for generic one-parameter families of unimodal maps, Expansion properties of double standard maps, Hyperbolicity and invariant measures for general \(C^ 2\) interval maps satisfying the Misiurewicz condition, Quadratic maps without asymptotic measure, Topological conditions for the existence of absorbing Cantor sets, Positive Lyapunov exponents in families of one dimensional dynamical systems, Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters, Invariant measures exist under a summability condition for unimodal maps, STATISTICAL PROPERTIES OF ONE-DIMENSIONAL MAPS WITH CRITICAL POINTS AND SINGULARITIES, Unnamed Item, Young towers for product systems

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