| Texto completo | |
| Autor(es): |
Gouveia, Marcio
;
Oler, Juliano G.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 53, n. 4, p. 24-pg., 2022-08-25. |
| Resumo | |
Given an one-dimensional Lorenz-like expanding map we describe a class A of potentials phi : [0, 1] -> R admitting at most one equilibrium measure and we construct a family of continuous but not weak-Holder continuous potentials for which we observe phase transitions. This give a certain generalization of the results proved in Pesin and Zhang (J Stat Phys 122(6):1095-1110, 2006), where the authors have proved this for a smaller class of potentials, that is, for uniformly expanding maps and weakHolder continuous potentials. Indeed, the class A form an open and dense subset of C ([0, 1], R), with the usual C-0 topology. (AU) | |
| Processo FAPESP: | 19/10269-3 - Teorias ergódica e qualitativa dos sistemas dinâmicos II |
| Beneficiário: | Claudio Aguinaldo Buzzi |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |