Isomorphisms of certain correlated probability spaces and of discrete memoryless correlated sources |
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Authors: | K. Marton |
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Affiliation: | (1) Mathematical Institute of the Hungarian Academy of Sciences, POB 127, H-1364 Budapest, Hungary |
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Abstract: | Summary In an earlier paper [5], we defined a sufficient set of invariants for the isomorphy of discrete memoryless correlated sources with maximal correlation <1. Using the structure of isomorphisms of certain correlated probability spaces, we give here a sufficient set of invariants also for the case of maximal correlation equal to 1. We show, in particular, that two discrete memoryless stationary correlated sources with maximal correlation 1 may be isomorphic in a non-trivial way. |
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