A note on eventually periodic endomorphisms and their maximizing measures
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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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2017-10-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/30819 |