scientific article; zbMATH DE number 4188806

zbMath0721.58018MaRDI QIDQ5753241

Franz Hofbauer, Gerhard Keller

Publication date: 1990

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1990__53_4_413_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Schwarzian derivativeattractorunimodal mapinvariant density

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving maps of the interval (37E05)

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Invariant measures for interval maps without Lyapunov exponents ⋮ The attractor of Fibonacci-like renormalization operator ⋮ Teichmüller Space of Fibonacci Maps ⋮ Wild attractors and thermodynamic formalism ⋮ Topological conditions for the existence of absorbing Cantor sets ⋮ The complexity of Fibonacci-like kneading sequences ⋮ Decay of geometry for Fibonacci critical covering maps of the circle ⋮ Topological and metrical conditions for Collet-Eckmann unimodal maps ⋮ The Fibonacci Unimodal Map ⋮ Induced expansion for quadratic polynomials ⋮ Existence of unique SRB-measures is typical for real unicritical polynomial families

Cites Work

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• Quadratic maps without asymptotic measure
• Distortion of S-unimodal maps
• On the concept of attractor
• Topological entropy of the transformation \(x\mapsto ax(1-x)\)
• Measure of solenoidal attractors of unimodal maps of the segment