SRB measures for partially hyperbolic systems whose central direction is mostly expanding (Q1568822)

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.