Article ID Journal Published Year Pages File Type
4673226 Indagationes Mathematicae 2009 14 Pages PDF
Abstract

Using the marker and filler methods of Keane and Smorodinsky, we prove that entropy is a complete finitary isomorphism invariant for r-processes. It is conjectured that entropy is a complete finitary isomorphism invariant for finitary factors of Bernoulli schemes. We present a weaker version of this conjecture with hope that its proof is more attainable with present methods. In doing so, we define a one-way finitary isomorphism and prove one-way finitary results for random walks. We will also extend the marker and filler methods of Keane and Smorodinsky to a class of countable state processes.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)