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 $\sup_{\mu \in M_{\tilde T}}\int f d\mu \leq \sup_{\mu \in M_{T}}\int f d\mu$.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2017-10-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/30819 |
| _version_ | 1828261797954584576 |
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| author | Juliano Gonschorowski |
| author_facet | Juliano Gonschorowski |
| author_sort | Juliano Gonschorowski |
| collection | DOAJ |
| description | 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 $\sup_{\mu \in M_{\tilde T}}\int f d\mu \leq \sup_{\mu \in M_{T}}\int f d\mu$. |
| first_indexed | 2024-04-13T03:46:18Z |
| format | Article |
| id | doaj.art-e9bc6e0d7d70462db6c9e2f046a85ed7 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-04-13T03:46:18Z |
| publishDate | 2017-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-e9bc6e0d7d70462db6c9e2f046a85ed72022-12-22T03:04:01ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882017-10-0135311111610.5269/bspm.v35i3.3081914764A note on eventually periodic endomorphisms and their maximizing measuresJuliano Gonschorowski0Universidade Tecnológica Federal do ParanáGiven 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 $\sup_{\mu \in M_{\tilde T}}\int f d\mu \leq \sup_{\mu \in M_{T}}\int f d\mu$.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/30819Eventually Periodic EndomorphismMaximizing measures |
| spellingShingle | Juliano Gonschorowski A note on eventually periodic endomorphisms and their maximizing measures Boletim da Sociedade Paranaense de Matemática Eventually Periodic Endomorphism Maximizing measures |
| title | A note on eventually periodic endomorphisms and their maximizing measures |
| title_full | A note on eventually periodic endomorphisms and their maximizing measures |
| title_fullStr | A note on eventually periodic endomorphisms and their maximizing measures |
| title_full_unstemmed | A note on eventually periodic endomorphisms and their maximizing measures |
| title_short | A note on eventually periodic endomorphisms and their maximizing measures |
| title_sort | note on eventually periodic endomorphisms and their maximizing measures |
| topic | Eventually Periodic Endomorphism Maximizing measures |
| url | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/30819 |
| work_keys_str_mv | AT julianogonschorowski anoteoneventuallyperiodicendomorphismsandtheirmaximizingmeasures AT julianogonschorowski noteoneventuallyperiodicendomorphismsandtheirmaximizingmeasures |