Finitary isomorphism of some renewal processes to Bernoulli schemes
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.
scientific article; zbMATH DE number 5702865
scientific article