Finitary isomorphism of some renewal processes to Bernoulli schemes |
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Authors: | Stephen M. Shea |
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Affiliation: | Department of Mathematics, St. Anselm College, 100 St. Anselm Drive 1792, Manchester, NH 03102, UK |
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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. |
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Keywords: | 37A35 |
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