Induced expansion for quadratic polynomials
Inflationary tilings with a similarity structure.
Invariant densities for C¹ maps
We consider the set of expanding maps of the circle which have a unique absolutely continuous invariant probability measure whose density is unbounded, and show that this set is dense in the space of expanding maps with the topology. This is in contrast with results for or maps, where the invariant densities can be shown to be continuous.
Invariant measures exist under a summability condition for unimodal maps.
Invariant measures for a diffeomorphism which expands the leaves of a foliation
Invariant Sets of Anosovs Diffeomorphisms.
Invariant sets with zero measure and full Hausdorff dimension.