Finitary isomorphism of some renewal processes to Bernoulli schemes
type: Item
instance of: scholarly article
title: Finitary isomorphism of some renewal processes to Bernoulli schemes
zbMATH Open document ID: 1196.37016
DOI: 10.1016/S0019-3577(09)80019-0
author: Stephen M. Shea
published in: Indagationes Mathematicae. New Series
publication date: 2010-04-29T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 37A35
zbMATH DE Number: 5702865
zbMATH Keywords: renewal process
zbMATH Keywords: Bernoulli distribution
zbMATH Keywords: finitary isomorphism
reviewed by: Michael L. Blank
MaRDI profile type: Publication
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full work available at URL: s0019-3577(09)80019-0
OpenAlex ID: W1994057818
description: scientific article; zbMATH DE number 5702865