Inverse pressure estimates and the independence of stable dimension for non-invertible maps

Simple item page
dc.creatorMihailescu, Eugen
dc.creatorUrbanski, Mariusz
dc.date2008-11-19
dc.date.accessioned2026-07-07T10:19:41Z
dc.date.available2026-07-07T10:19:41Z
dc.descriptionWe use the inverse pressure concept to estimate the stable dimension for hyperbolic non-invertible maps which are conformal in the stable fibers. The non-invertible case is different than the diffeomorphism case. In particular we show that if the map is open on the respective basic set, then the stable dimension is constant everywhere. We prove also in this setting the Lipschitz continuity of the stable distribution.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0811.3227
dc.identifierhttp://arxiv.org/abs/0811.3227
dc.identifierCanadian Journal of Mathematics, vol. 60, no.3, 2008, 658-684
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174601
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37D20, 37A35, 37F35
dc.titleInverse pressure estimates and the independence of stable dimension for non-invertible maps
dc.typetext

Files

Collections

arXiv