Showing 2003Show all
2 papers · 1 filter
math.DS2003
Equilibrium States for Random Non-uniformly Expanding Maps
Alexander Arbieto, Carlos Matheus, Krerley Oliveira
We show that, for a robust (-open) class of random non-uniformly expanding maps, there exists equilibrium states for a large class of potentials.In particular, these sytems ha…
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…