On K-automorphisms, Bernoulli shifts and Markov random fields
- 17 April 1997
- journal article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 17 (2) , 405-415
- https://doi.org/10.1017/s0143385797069861
Abstract
We show that for translation invariant Markov random fields: (1) the K-property implies a trivial full tail; (2) the Bernoulli property implies Følner independence. The existence of bilaterally deterministic Bernoulli shifts tells us that neither result is true without the Markov assumption (even in one dimension). We also show that for general translation invariant random fields: (3) Følner independence implies a trivial full tail.Keywords
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