Densidade do conjunto de endomorfismos com medida maximizante suportada em órbita periódica / Density of the set of endomorphisms with maximizing measure suported on a periodic orbit
AUTOR(ES)
Juliano dos Santos Gonschorowski
FONTE
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia
DATA DE PUBLICAÇÃO
26/04/2012
RESUMO
We prove the following theorem: Let M be a bondaryless, compact and connected Riemannian Manifold. Given an endomorphism f on M, a continuous function \\phi : M ightarrow R and \\epsilon >0, then there exist an endomorphism \\tilde f on M with d(f; \\tilde f) <\\epsilon such that, some \\phi-maximizing measure for \\tilde f is supported on a periodic orbit. This theorem is a generalization of the results obtained by S. Addas-Zanatta and F. Tal.
ASSUNTO(S)
ergodic optimization órbita periódica. otimização ergódica periodic orbit
