The existence of absolutely continuous invariant measures is not a topological invariant for unimodal maps

DOI10.1017/S0143385798100469zbMath0928.37004MaRDI QIDQ4236830

Henk Bruin

Publication date: 16 January 2000

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

zbMATH Keywords

Schwarzian derivativeMarkov mapunimodal mapskneading sequencesFibonacci mapabsolutely continuous invariant probability measuresorientation reversing fixed pointsaddle node returns

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items (3)

Ergodic properties of bimodal circle maps ⋮ Large derivatives, backward contraction and invariant densities for interval maps ⋮ Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps

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