Existence, uniqueness and ratio decomposition for Gibbs states via duality

• Tipo: Artigo em Revista Científica Internacional
• Data: 2001

Autores

Pinto, AA (Autor) FCUP; Rand, DA (Autor) Outra

Revista

Título: Ergodic Theory and Dynamical Systems

Vol. 21

Páginas: 533-543

ISSN: 0143-3857

Editora: Cambridge University Press

Indexação

ISI Web of Knowledge - 6 Citações

Scopus - 9 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-000-VX9

DOI: 10.1017/s0143385701001262

Resumo (PT): We give an elementary proof of existence and uniqueness of Gibbs states for Hölder weight systems on subshifts of finite type. This uses a notion of duality for such subshifts. The approach of Paterson [2] is used to construct a measure with a prescribed Jacobian and the duality is used to produce an invariant measure from this.

Abstract (EN): We give an elementary proof of existence and uniqueness of Gibbs states for Holder weight systems on subshifts of finite type. This uses a notion of duality for such subshifts. The approach of Paterson [2] is used to construct a measure with a prescribed Jacobian and the duality is used to produce an invariant measure from this.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11