Existence, uniqueness and ratio decomposition for Gibbs states via duality

• Type: Article in International Scientific Journal
• Date: 2001

Authors

Pinto, AA (Author) FCUP; Rand, DA (Author) Other

Journal

Title: Ergodic Theory and Dynamical Systems

Vol. 21

Pages: 533-543

ISSN: 0143-3857

Publisher: Cambridge University Press

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 9 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11