Campo DC | Valor | Idioma |
dc.creator | Paulo, Rafael Moreira | - |
dc.date.accessioned | 2023-10-23T10:18:16Z | - |
dc.date.available | 2023-10-23T10:18:16Z | - |
dc.date.issued | 2023-07-31 | - |
dc.identifier.citation | PAULO, Rafael Moreira. Formalismo Termodinâmico para aplicações do intervalo. 2023. 113 f. Dissertação (Mestrado em Matemática) - Instituto de Matemática - IM, Universidade Federal da Bahia, Salvador (Bahia), 2023. | pt_BR |
dc.identifier.uri | https://repositorio.ufba.br/handle/ri/38178 | - |
dc.description.abstract | This work aims to study known results about the existence and uniqueness of equilibrium states for Holder potentials in transitive C 1+ interval dynamics without using
the classical approach of Hofbauer-Keller Towers. For this, we used zooming measures (a generalization of expanding measures) and Markov maps induced by zooming returns.
With this we were able to study the the equilibrium states among the expanding measures, and get the existênce and uniquiness of equilibrium states for Hölder potentials that favor the expansive measures. | pt_BR |
dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, CAPES | pt_BR |
dc.language | por | pt_BR |
dc.publisher | Universidade Federal da Bahia | pt_BR |
dc.rights | Attribution-NonCommercial 3.0 Brazil | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/3.0/br/ | * |
dc.subject | Formalismo termodinâmico | pt_BR |
dc.subject | Estados de equilı́brio | pt_BR |
dc.subject | Medidas zooming | pt_BR |
dc.subject | Medidas expansoras | pt_BR |
dc.subject.other | Thermodynamic formalism | pt_BR |
dc.subject.other | Equilibrium states | pt_BR |
dc.subject.other | Zooming measures | pt_BR |
dc.subject.other | Expanding measures | pt_BR |
dc.title | Formalismo termodinâmico para aplicações do intervalo. | pt_BR |
dc.title.alternative | Thermodynamic formalism for interval applications. | pt_BR |
dc.type | Dissertação | pt_BR |
dc.publisher.program | Pós-Graduação em Matemática (PGMAT) | pt_BR |
dc.publisher.initials | UFBA | pt_BR |
dc.publisher.country | Brasil | pt_BR |
dc.subject.cnpq | CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA | pt_BR |
dc.contributor.advisor1 | Pinheiro, Vilton Jeovan Viana | - |
dc.contributor.advisor1Lattes | http://lattes.cnpq.br/5377575475537411 | pt_BR |
dc.contributor.referee1 | Pinheiro, Vilton Jeovan Viana | - |
dc.contributor.referee1Lattes | http://lattes.cnpq.br/5377575475537411 | pt_BR |
dc.contributor.referee2 | Varandas, Paulo César Rodrigues Pinto | - |
dc.contributor.referee2ID | https://orcid.org/0000-0002-0902-8718 | pt_BR |
dc.contributor.referee2Lattes | http://lattes.cnpq.br/1450367699820349 | pt_BR |
dc.contributor.referee3 | Lima, Yuri Gomes | - |
dc.contributor.referee3Lattes | http://lattes.cnpq.br/4912847441632780 | pt_BR |
dc.creator.Lattes | http://lattes.cnpq.br/6225400318584626 | pt_BR |
dc.description.resumo | O objetivo do presente trabalho é o estudo da existência e unicidade dos estados de equilı́brio para potenciais Hölder em dinâmicas definidas no intervalo que sejam C 1+ ,
transitivas, e possuam conjunto crı́tico não-flat. Para esse estudo não utilizaremos a abordagem mais clássica, através de Torres de Hofbauer-Keller. Para tanto, usamos
as medidas zooming (generalização das medidas expansoras) e as aplicações de Markov induzidas por retornos zooming. Com isso, obtivemos informações sobre os estados de equilı́brio entre as medidas expansoras e conseguimos obter a existência e unicidade de
estados de equilı́brio para potenciais Hölder que privilegiam as medidas expansoras. | pt_BR |
dc.publisher.department | Instituto de Matemática | pt_BR |
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dc.type.degree | Mestrado Acadêmico | pt_BR |
Aparece nas coleções: | Dissertação (PGMAT)
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