arXiv Analytics

Sign in

arXiv:1707.05401 [math.DS]AbstractReferencesReviewsResources

Classification of random circle homeomorphisms up to topological conjugacy

Thai Son Doan, Jeroen S. W. Lamb, Julian Newman, Martin Rasmussen

Published 2017-07-17Version 1

We provide a classification of random orientation-preserving homeomorphisms of $\mathbb{S}^1$, up to topological conjugacy of the random dynamical systems generated by i.i.d. iterates of the random homeomorphism. This classification covers all random circle homeomorphisms for which the noise space is a connected Polish space and an additional extremely weak condition is satisfied.

Related articles: Most relevant | Search more
arXiv:1805.07177 [math.DS] (Published 2018-05-18)
Conditioned Lyapunov exponents for random dynamical systems
arXiv:2307.11284 [math.DS] (Published 2023-07-21)
Smooth invariant foliations without a bunching condition and Belitskii's $C^{1}$ linearization for random dynamical systems
arXiv:1106.1954 [math.DS] (Published 2011-06-10, updated 2012-09-12)
Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems