Pinto, A. A. and Rand, D. A. (David A.) (2001) Existence uniqueness and ratio decomposition for Gibbs states via duality. Ergodic Theory and Dynamical Systems, Vol.21 (No.2). pp. 533-543. doi:10.1017/S0143385701001262 ISSN 0143-3857.

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Abstract

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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Probabilities, Probabilistic number theory, Stochastic processes, Jacobians, Functions of several complex variables
Journal or Publication Title:	Ergodic Theory and Dynamical Systems
Publisher:	Cambridge University Press
ISSN:	0143-3857
Official Date:	April 2001
Dates:	Date Event April 2001 Published
Volume:	Vol.21
Number:	No.2
Page Range:	pp. 533-543
DOI:	10.1017/S0143385701001262
Status:	Peer Reviewed
Access rights to Published version:	Open Access (Creative Commons)
Funder:	Fundação Calouste Gulbenkian (FCG), Fundação para a Ciência e a Tecnologia (FCT), PRAXIS (Organization), European Science Foundation (ESF), Universidade do Porto. Centro de Matemática Aplicada (CMA), Science and Engineering Research Council (Great Britain) (SERC), European Union (EU)

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