Thermodynamic formalism for general IFS and quantum channels
dc.contributor.advisor | Souza, Rafael Rigão | pt_BR |
dc.contributor.author | Brasil, Jader Eckert | pt_BR |
dc.date.accessioned | 2022-08-20T04:55:08Z | pt_BR |
dc.date.issued | 2022 | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/247521 | pt_BR |
dc.description.abstract | This chapter is part of [BOS22] and introduces a theory of Thermodynamic Formalism for Iterated Function Systems with Measures (IFSm). We study the spectral properties of the Transfer and Markov operators associated to a IFSm. We introduce variational formulations for the topological entropy of holonomic measures and the topological pressure of IFSm given by a potential. A definition of equilibrium state is then natural and we prove its existence for any continuous potential. We show, in this setting, a uniqueness result for the equilibrium state requiring only the Gâteaux differentiability of the pressure functional. | en |
dc.format.mimetype | application/pdf | pt_BR |
dc.language.iso | eng | pt_BR |
dc.rights | Open Access | en |
dc.subject | Formalismo termodinamico | pt_BR |
dc.subject | Entropia | pt_BR |
dc.subject | Autovalores | pt_BR |
dc.subject | Operadores | pt_BR |
dc.title | Thermodynamic formalism for general IFS and quantum channels | pt_BR |
dc.type | Tese | pt_BR |
dc.contributor.advisor-co | Lopes, Artur Oscar | pt_BR |
dc.identifier.nrb | 001147086 | pt_BR |
dc.degree.grantor | Universidade Federal do Rio Grande do Sul | pt_BR |
dc.degree.department | Instituto de Matemática e Estatística | pt_BR |
dc.degree.program | Programa de Pós-Graduação em Matemática | pt_BR |
dc.degree.local | Porto Alegre, BR-RS | pt_BR |
dc.degree.date | 2022 | pt_BR |
dc.degree.level | doutorado | pt_BR |
Files in this item
This item is licensed under a Creative Commons License
![](/themes/Mirage2Novo//images/lume/cc.png)
-
Exact and Earth Sciences (5095)Mathematics (362)