Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups
dc.contributor.advisor | Lopes, Artur Oscar | pt_BR |
dc.contributor.author | Knorst, Josué | pt_BR |
dc.date.accessioned | 2022-12-09T05:00:16Z | pt_BR |
dc.date.issued | 2022 | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/252591 | pt_BR |
dc.description.abstract | This thesis consists of two different works with a similar motivation. The common ground for them is the theory of Thermodynamic Formalism, (see, for instance, [LMMS15]). In the classical setting, one seeks the thermodynamical equilibrium states of a system under the action of a potential. This is done by looking for variational principles, where entropy and the Ruelle operator play central roles. An important issue is to introduce an a priori probability for defining the Ruelle operator. The two works are extensions of this theory to adjacent subjects. | 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 | Operadores | pt_BR |
dc.subject | Operador de Ruelle | pt_BR |
dc.subject | Entropia | pt_BR |
dc.subject | Autovalores | pt_BR |
dc.subject | Cadeias de Markov | pt_BR |
dc.title | Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups | pt_BR |
dc.type | Tese | pt_BR |
dc.contributor.advisor-co | Neumann, Adriana | pt_BR |
dc.identifier.nrb | 001153957 | 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 |
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