E. Oliveira

collaborators

2 papers

math.DS2007

Entropy and Variational principles for holonomic probabilities of IFS

Artur O. Lopes, Elismar R. Oliveira

Associated to a IFS one can consider a continuous map $σ^: [0, 1] \times Σ \to [0, 1] \times Σ$ , defined by $σ^(x, w) = (τ_{X_{1} (w)} (x), σ (w))$ were $Σ=\{0,1, ..., d-1\}^{\mathbb{N…

math.DS2006

On generic properties of Lagrangians on surfaces: the Kupka-Smale theorem

Elismar R. Oliveira

We consider generic properties of Lagrangians. Our main result is the Theorem of Kupka-Smale, in the Lagrangian setting, claiming that, for a convex and superlinear Lagrangian defi…