Large deviations for equilibrium measures and selection of subaction
dc.contributor.author | Mengue, Jairo Krás | pt_BR |
dc.date.accessioned | 2021-06-15T04:28:40Z | pt_BR |
dc.date.issued | 2018 | pt_BR |
dc.identifier.issn | 1678-7544 | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/222145 | pt_BR |
dc.description.abstract | Given a Lipschitz function f : {1, . . . , d}N → R, for eachβ > 0 we denote by μβ the equilibrium measure of β f and by hβ the main eigenfunction of the Ruelle Operator Lβ f . Assuming that {μβ}β>0 satisfy a large deviation principle, we prove the existence of the uniform limit V = limβ→+∞ 1 β log(hβ). Furthermore, the expression of the deviation function is determined by its values at the points of the union of the supports of maximizing measures. We study a class of potentials having two ergodic maximizing measures and prove that a L.D.P. is satisfied. The deviation function is explicitly exhibited and does not coincide with the one that appears in the paper by Baraviera-Lopes-Thieullen which considers the case of potentials having a unique maximizing measure. | en |
dc.format.mimetype | application/pdf | pt_BR |
dc.language.iso | eng | pt_BR |
dc.relation.ispartof | Bulletin of the Brazilian Mathematical Society = Boletim da Sociedade Brasileira de Matemática. New series. Rio de Janeiro. Vol. 49, no. 1 (Mar. 2018), p. 17-42. | pt_BR |
dc.rights | Open Access | en |
dc.subject | Equilibrium measure | en |
dc.subject | Medida de equilibrio | pt_BR |
dc.subject | Teoria da probabilidade | pt_BR |
dc.subject | Maximizing measure | en |
dc.subject | Matemática aplicada | pt_BR |
dc.subject | Large deviation principle | en |
dc.title | Large deviations for equilibrium measures and selection of subaction | pt_BR |
dc.type | Artigo de periódico | pt_BR |
dc.identifier.nrb | 001065297 | pt_BR |
dc.type.origin | Nacional | pt_BR |
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