On the equivalence of certain ergodic properties for Gibbs states

Ergodic Theory and Dynamical Systems

Volumn 20, Issue 1, 2000, Pages 231-239

  Den Hollander, Frank ^a   Steif, Jeffrey E ^b,c  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038998733     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385700000109     Document Type: Article

References (9)

1. H. C. P. Berbee and W. Th. F. den Hollander. Tail triviality for sums of stationary random variables. Ann. Probab. 17 (1989), 1635-1645.
2. J. P. Conze. Entropie d'un groupe abelien de tranformations. Z. Wahrscheinlichkeitstheorie verw. Gebiete 25 (1972), 11-30.
3. A. van Enter. On a question of Bratteli and Robinson. Lett. Math. Phys. 6 (1982), 289-291.
4. J. Fröhlich and T. Spencer. The Kosterlitz-Thouless transition in two-dimensional Abelian spin systems and the Coulomb gas. Commun. Math. Phys. 81 (1981), 527-602.
5. H.-O. Georgii. Gibbs Measures and Phase Transitions. de Gruyter, New York, 1988.
6. C. Hoffman. A Markov random field which is K but not Bernoulli. Israel J. Math. 112 (1999), 249-269.
7. F. den Hollander and J. E. Steif. On K-automorphisms, Bernoulli shifts and Markov random fields. Ergod. Th. & Dynam. Sys. 17 (1997), 405-415.
8. d-actions and the Ising model. Unpublished manuscript, 1973.
9. K. Schmidt. Dynamical Systems of Algebraic Origin. Birkhäuser, 1995.