Positive K-theory for finitary isomorphisms of Markov chains

Ricardo Gómez

Ergod. Th. and Dynam. Sys. 23 (2003) 1485-1504.

Abstract. We use matrices over formal power series to present irreducible and positive recurrent Markov chains, and identify a natural class of good finitary isomorphisms (the magic word isomorphisms) as those arising from elementary matrix operations. This extends the positive K-theory framework which has been used for other classification problems in symbolic dynamics.

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