Measure theoretical entropy of covers

Simple item page
dc.creatorShapira, Uri
dc.date2008-10-23
dc.date.accessioned2026-07-07T10:12:43Z
dc.date.available2026-07-07T10:12:43Z
dc.descriptionIn this paper we introduce three notions of measure theoretical entropy of a measurable cover U in a measure theoretical dynamical system. Two of them were already introduced in [R] and the new one is defined only in the ergodic case. We then prove that these three notions coincide, thus answering a question posed in [R] and recover a variational inequality (proved in [GW]) and a proof of the classical variational principle based on a comparison between the entropies of covers and partitions.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0810.4300
dc.identifierhttp://arxiv.org/abs/0810.4300
dc.identifierIsrael J. Math. 158 (2007), 225--247
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172275
dc.subjectDynamical Systems
dc.titleMeasure theoretical entropy of covers
dc.typetext

Files

Collections

arXiv