Dynamics of iterated function systems on the circle close to rotations

DOI10.1017/ETDS.2013.112zbMath1352.37121arXiv1303.2521OpenAlexW1980272746MaRDI QIDQ3195364

Pablo G. Barrientos, Artem Raibekas

Publication date: 16 October 2015

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

Full work available at URL: https://arxiv.org/abs/1303.2521

zbMATH Keywords

minimalityCantor setsiterated function systemscircle diffeomorphisms

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (7)

Examples of minimal set for IFSs ⋮ Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics ⋮ A NEW EXAMPLE OF A DETERMINISTIC CHAOS GAME ⋮ Density of fiberwise orbits in minimal iterated function systems on the circle ⋮ Some examples of minimal Cantor sets for iterated function systems with overlap ⋮ On the symmetric and Rees algebras of certain determinantal ideals ⋮ Expanding actions: minimality and ergodicity

Cites Work

• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Physical measures and absolute continuity for one-dimensional center direction
• On one-dimensional dynamics in intermediary regularity

This page was built for publication: Dynamics of iterated function systems on the circle close to rotations