A multiplicative ergodic theoretic characterization of relative equilibrium states
DC Field | Value | Language |
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dc.contributor.author | Antonioli, John | - |
dc.contributor.author | Hong, Soonjo | - |
dc.contributor.author | Quas, Anthony | - |
dc.date.accessioned | 2022-04-25T07:43:14Z | - |
dc.date.available | 2022-04-25T07:43:14Z | - |
dc.date.created | 2022-04-25 | - |
dc.date.issued | 2023-05-24 | - |
dc.identifier.issn | 0143-3857 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/27563 | - |
dc.description.abstract | In this article, we continue the structural study of factor maps between symbolic dynamical systems and the relative thermodynamic formalism. Here, one is studying a factor map from a shift of finite type X (equipped with a potential function) to a sofic shift Z, equipped with a shift-invariant measure nu. We study relative equilibrium states, that is, shift-invariant measures on X that push forward under the factor map to v which maximize the relative pressure: the relative entropy plus the integral of phi. In this paper, we establish a new connection to multiplicative ergodic theory by relating these factor triples to a cocycle of Ruelle-Perron-Frobenius operators, and showing that the principal Lyapunov exponent of this cocycle is the relative pressure; and the dimension of the leading Oseledets space is equal to the number of measures of relative maximal entropy, counted with a previously identified concept of multiplicity. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | CAMBRIDGE UNIV PRESS | - |
dc.subject | FACTOR CODES | - |
dc.title | A multiplicative ergodic theoretic characterization of relative equilibrium states | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Hong, Soonjo | - |
dc.identifier.doi | 10.1017/etds.2022.15 | - |
dc.identifier.scopusid | 2-s2.0-85127585268 | - |
dc.identifier.wosid | 000780310700001 | - |
dc.identifier.bibliographicCitation | ERGODIC THEORY AND DYNAMICAL SYSTEMS, v.43, no.5, pp.1455 - 1470 | - |
dc.relation.isPartOf | ERGODIC THEORY AND DYNAMICAL SYSTEMS | - |
dc.citation.title | ERGODIC THEORY AND DYNAMICAL SYSTEMS | - |
dc.citation.volume | 43 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 1455 | - |
dc.citation.endPage | 1470 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | FACTOR CODES | - |
dc.subject.keywordAuthor | relative thermodynamic formalism | - |
dc.subject.keywordAuthor | multiplicative ergodic theory | - |
dc.subject.keywordAuthor | transfer operators | - |
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