A minicourse on entropy theory on the interval

dc.creatorBuzzi, Jerome
dc.date2006-11-11
dc.date.accessioned2026-07-07T07:32:47Z
dc.date.available2026-07-07T07:32:47Z
dc.descriptionWe give a survey of the entropy theory of interval maps as it can be analyzed using ergodic theory, especially measures of maximum entropy and periodic points. The main tools are (i) a version of Hofbauer's Markov diagram, (ii) the shadowing property and the implied entropy bound and weak rank one property, (iii) strongly positively recurrent countable state Markov shifts. Proofs are given for selected results. This article is based on the lectures given at the Ecole thematique de theorie ergodique at the C.I.R.M., Marseilles, in April 2006.
dc.identifierhttps://arxiv.org/abs/math/0611337
dc.identifierhttp://arxiv.org/abs/math/0611337
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119233
dc.subjectDynamical Systems
dc.subject37E05;37A35;37B10
dc.titleA minicourse on entropy theory on the interval
dc.typetext

Files

Collections