On finitary shifts (Q1389877)
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: On finitary shifts |
scientific article; zbMATH DE number 1172204
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On finitary shifts |
scientific article; zbMATH DE number 1172204 |
Statements
On finitary shifts (English)
0 references
8 February 1999
0 references
Studying functionals of Markov chains, \textit{A. Heller} [Ann. Math. Stat. 36, 1286-1291 (1965; Zbl 0139.34603)] introduced a class of processes called \({\mathcal F}\)-processes. The main purpose of the paper is to give a probabilistic description of \({\mathcal F}\)-processes, and to show that the class of \({\mathcal F}\)-processes is closed under factors, products and roots. It is shown that the class of \({\mathcal F}\)-shifts is not closed under taking inverse limits.
0 references
probabilistic description of \({\mathcal F}\)-processes
0 references
\({\mathcal F}\)-shifts
0 references
