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October, 1986 Regenerative Representation for One-Dimensional Gibbs States
S. P. Lalley
Ann. Probab. 14(4): 1262-1271 (October, 1986). DOI: 10.1214/aop/1176992367


It is shown that one-dimensional Gibbs states may be represented as concatenations of infinite lists of iid "words." It follows that Gibbs states inherit many properties of recurrent Markov chains on denumerable state spaces.


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S. P. Lalley. "Regenerative Representation for One-Dimensional Gibbs States." Ann. Probab. 14 (4) 1262 - 1271, October, 1986.


Published: October, 1986
First available in Project Euclid: 19 April 2007

zbMATH: 0612.60093
MathSciNet: MR866347
Digital Object Identifier: 10.1214/aop/1176992367

Primary: 60G10
Secondary: 60K35

Keywords: chain with complete connections , Gibbs state , regenerative representation

Rights: Copyright © 1986 Institute of Mathematical Statistics

Vol.14 • No. 4 • October, 1986
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