Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups

Detalhes bibliográficos
Autor(a) principal: Knorst, Josué
Data de Publicação: 2022
Tipo de documento: Tese
Idioma: eng
Título da fonte: Biblioteca Digital de Teses e Dissertações da UFRGS
Texto Completo: http://hdl.handle.net/10183/252591
Resumo: 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.
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spelling Knorst, JosuéLopes, Artur OscarNeumann, Adriana2022-12-09T05:00:16Z2022http://hdl.handle.net/10183/252591001153957This 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.application/pdfengFormalismo termodinamicoOperadoresOperador de RuelleEntropiaAutovaloresCadeias de MarkovContinuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroupsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisUniversidade Federal do Rio Grande do SulInstituto de Matemática e EstatísticaPrograma de Pós-Graduação em MatemáticaPorto Alegre, BR-RS2022doutoradoinfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT001153957.pdf.txt001153957.pdf.txtExtracted Texttext/plain112280http://www.lume.ufrgs.br/bitstream/10183/252591/2/001153957.pdf.txt13e345136c60702cfae6e9524b7c05a8MD52ORIGINAL001153957.pdfTexto completo (inglês)application/pdf867991http://www.lume.ufrgs.br/bitstream/10183/252591/1/001153957.pdf898b4d993abaf95f92540b98ca4dc98dMD5110183/2525912023-03-29 03:25:19.025257oai:www.lume.ufrgs.br:10183/252591Biblioteca Digital de Teses e Dissertaçõeshttps://lume.ufrgs.br/handle/10183/2PUBhttps://lume.ufrgs.br/oai/requestlume@ufrgs.br||lume@ufrgs.bropendoar:18532023-03-29T06:25:19Biblioteca Digital de Teses e Dissertações da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups
title Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups
spellingShingle Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups
Knorst, Josué
Formalismo termodinamico
Operadores
Operador de Ruelle
Entropia
Autovalores
Cadeias de Markov
title_short Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups
title_full Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups
title_fullStr Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups
title_full_unstemmed Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups
title_sort Continuous time thermodynamic formalism: for the Skorokhod space and for quantum Markov semigroups
author Knorst, Josué
author_facet Knorst, Josué
author_role author
dc.contributor.author.fl_str_mv Knorst, Josué
dc.contributor.advisor1.fl_str_mv Lopes, Artur Oscar
dc.contributor.advisor-co1.fl_str_mv Neumann, Adriana
contributor_str_mv Lopes, Artur Oscar
Neumann, Adriana
dc.subject.por.fl_str_mv Formalismo termodinamico
Operadores
Operador de Ruelle
Entropia
Autovalores
Cadeias de Markov
topic Formalismo termodinamico
Operadores
Operador de Ruelle
Entropia
Autovalores
Cadeias de Markov
description 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.
publishDate 2022
dc.date.accessioned.fl_str_mv 2022-12-09T05:00:16Z
dc.date.issued.fl_str_mv 2022
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dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
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