Statistical properties of unimodal maps: the quadratic family

Simple item page
dc.creatorAvila, Artur
dc.creatorMoreira, Carlos Gustavo
dc.date2000-10-06
dc.date2003-06-10
dc.date.accessioned2026-07-07T04:37:52Z
dc.date.available2026-07-07T04:37:52Z
dc.descriptionWe prove that almost every non-regular real quadratic map is Collet-Eckmann and has polynomial recurrence of the critical orbit (proving a conjecture by Sinai). It follows that typical quadratic maps have excellent ergodic properties, as exponential decay of correlations (Keller and Nowicki, Young) and stochastic stability in the strong sense (Baladi and Viana). This is an important step to get the same results for more general families of unimodal maps.
dc.description42 pages, no figures, fifth version, to appear in Annals of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0010062
dc.identifierhttp://arxiv.org/abs/math/0010062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60067
dc.subjectDynamical Systems
dc.subject37E05;37F10
dc.titleStatistical properties of unimodal maps: the quadratic family
dc.typetext

Files

Collections

arXiv