Finitary isomorphism of some renewal processes to Bernoulli schemes (Q967567)
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: Finitary isomorphism of some renewal processes to Bernoulli schemes |
scientific article; zbMATH DE number 5702865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finitary isomorphism of some renewal processes to Bernoulli schemes |
scientific article; zbMATH DE number 5702865 |
Statements
Finitary isomorphism of some renewal processes to Bernoulli schemes (English)
0 references
29 April 2010
0 references
A renewal process for which a renewal state has a \(n\)-Bernoulli distribution for some nonnegative integer \(n\) is called an \(r\)-process. Using the ``marker and filler'' method due to Keane and Smorodinsky the author proves that entropy is a complete finitary isomorphism invariant for \(r\)-processes. A similar conjecture for finitary factors is discussed and its weaker version is proved.
0 references
renewal process
0 references
Bernoulli distribution
0 references
finitary isomorphism
0 references
