A Markov random field which is \(K\) but not Bernoulli (Q1806722)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A Markov random field which is \(K\) but not Bernoulli |
scientific article; zbMATH DE number 1358189
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Markov random field which is \(K\) but not Bernoulli |
scientific article; zbMATH DE number 1358189 |
Statements
A Markov random field which is \(K\) but not Bernoulli (English)
0 references
29 June 2000
0 references
The author constructs a \(Z^2\) Markov random field which is of completely positive entropy but is not isomorphic to a Bernoulli shift. The basis of this example is a discrete time exclusion process which was originally studied by Yaguchi. The author also proves that such random field does not belong to the class of loosely Bernoulli transformations.
0 references
Markov random field
0 references
Bernoulli shift
0 references
entropy
0 references
exclusion process
0 references
