arXiv Analytics

Sign in

arXiv:2307.02562 [math.DS]AbstractReferencesReviewsResources

On the completely irregular set for systems with the shadowing property

Maria Carvalho, Vinícius Coelho, Luciana Salgado

Published 2023-07-05Version 1

We prove that the completely irregular set is Baire generic for every transitive continuous map, acting on a compact metric space without isolated points, which is not 31uniquely ergodic and satisfies the shadowing property.

Related articles: Most relevant | Search more
arXiv:0905.0739 [math.DS] (Published 2009-05-06, updated 2012-05-02)
Irregular sets, the $β$-transformation and the almost specification property
arXiv:1710.06106 [math.DS] (Published 2017-10-17)
Chaos on compact metric spaces generated from symbolic dynamical systems
arXiv:1603.00268 [math.DS] (Published 2016-03-01)
Ergodic measures on compact metric spaces for isometric actions by inductively compact groups