2 papers
math.DS2004
On the continuity of the SRB entropy for endomorphisms
Jose F. Alves, Krerley Oliveira, Ali Tahzibi
We consider classes of dynamical systems admitting Markov induced maps. Under general assumptions, which in particular guarantee the existence of SRB measures, we prove that the en…
math.DG2003
Geometrical versus Topological Properties of Manifolds
Carlos Matheus, Krerley Oliveira
Given a compact -dimensional immersed Riemannian manifold in some Euclidean space we prove that if the Hausdorff dimension of the singular set of the Gauss map is small, t…