×

zbMATH — the first resource for mathematics

SRB measures for partially hyperbolic systems whose central direction is mostly expanding. (English) Zbl 0962.37012
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.

MSC:
37D30 Partially hyperbolic systems and dominated splittings
37A05 Dynamical aspects of measure-preserving transformations
PDF BibTeX XML Cite
Full Text: DOI