SRB measures for partially hyperbolic systems whose central direction is mostly expanding
type: Item
instance of: scholarly article
title: SRB measures for partially hyperbolic systems whose central direction is mostly expanding
zbMATH Open document ID: 0962.37012
author: José F. Alves
author: C. Bonatti
author: Marcelo Viana
published in: Inventiones Mathematicae
publication date: 2000-06-21T00:00:00Z
review text: The authors deal with diffeomorphisms admitting partially hyperbolic invariant sets: the tangent bundle over the set has an invariant dominated splitting into two subbundles, one of which is uniformly hyperbolic. Note that this property provides geometric information such as invariant foliations, so that it is adequate to try to recover for these systems as much of the geometric and ergodic properties of the hyperbolic ones as possible.
Mathematics Subject Classification ID: 37D30
Mathematics Subject Classification ID: 37A05
zbMATH DE Number: 1463433
zbMATH Keywords: diffeomorphisms
zbMATH Keywords: hyperbolic invariant sets
zbMATH Keywords: subbundle
zbMATH Keywords: ergodic property
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: s002220000057
OpenAlex ID: W3162514650
DOI: 10.1007/S002220000057
Recommended article: SRB measures for partially hyperbolic systems whose central direction is weakly expanding
Recommended article: SRB measures for partially hyperbolic systems whose central direction is mostly contracting
Recommended article: SRB measures for non-hyperbolic systems with multidimensional expansion
Recommended article: SRB measures for pointwise hyperbolic systems on open regions
Recommended article: On the smooth dependence of SRB measures for partially hyperbolic systems
Recommended article: SRB measures for a class of partially hyperbolic attractors in Hilbert spaces
Recommended article: SRB measures for partially hyperbolic attractors of local diffeomorphisms
Recommended article: SRB measures for higher dimensional singular partially hyperbolic attractors
Recommended article: SRB-like Measures for C0Dynamics
Recommended article: SRB measures of singular hyperbolic attractors
description: scientific article; zbMATH DE number 1463433