A note on eventually periodic endomorphisms and their maximizing measures

Résumé

Given an eventually periodic endomorphism $T$ defined on a compact metric space $K$ we constructed another endomorphism $\tilde T:K\rightarrow K$ that is $C^0$-close of $T$, has a nonperiodic orbit and such that $\sup_{\mu \in M_{\tilde T}}\int f d\mu \leq \sup_{\mu \in M_{T}}\int f d\mu$.

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Publiée
2016-10-25
Rubrique
Articles