Adding machines and wild attractors

DOI10.1017/S0143385797086392zbMath0898.58012OpenAlexW2093476021MaRDI QIDQ4372056

Gerhard Keller, Matthias st. Pierre, Henk Bruin

Publication date: 25 October 1998

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

Full work available at URL: https://doi.org/10.1017/s0143385797086392

zbMATH Keywords

adic transformationswild attractoradding machine-like dynamical systemCantor omega limit setinterval unimodal mapunimodal Fibonacci map

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99)

Related Items (15)

The topological complexity of Cantor attractors for unimodal interval maps ⋮ Dynamical directions in numeration ⋮ Choquet simplices as spaces of invariant probability measures on post-critical sets ⋮ An auto-homeomorphism of a Cantor set with derivative zero everywhere ⋮ AN ALMOST EVERYWHERE VERSION OF SMÍTAL’S ORDER–CHAOS DICHOTOMY FOR INTERVAL MAPS ⋮ Topological orbit equivalence classes and numeration scales of logistic maps ⋮ Topological semi-conjugacies between adding machines ⋮ Products and decompositions of adding machines ⋮ The complexity of Fibonacci-like kneading sequences ⋮ Invariant measures of minimal post-critical sets of logistic maps ⋮ On the Lebesgue measure of Li-Yorke pairs for interval maps ⋮ Combinatorial and probabilistic properties of systems of numeration ⋮ Topological properties of Lorenz maps derived from unimodal maps ⋮ Ergodic properties of -adic Halton sequences ⋮ Thick hyperbolic repelling invariant Cantor sets and wild attractors

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