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Isomorphisms of certain correlated probability spaces and of discrete memoryless correlated sources
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  • Published: May 1987

Isomorphisms of certain correlated probability spaces and of discrete memoryless correlated sources

  • K. Marton1 

Probability Theory and Related Fields volume 75, pages 129–142 (1987)Cite this article

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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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References

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Authors and Affiliations

  1. Mathematical Institute of the Hungarian Academy of Sciences, POB 127, H-1364, Budapest, Hungary

    K. Marton

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  1. K. Marton
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Marton, K. Isomorphisms of certain correlated probability spaces and of discrete memoryless correlated sources. Probab. Th. Rel. Fields 75, 129–142 (1987). https://doi.org/10.1007/BF00320086

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  • Received: 12 March 1984

  • Revised: 25 September 1986

  • Issue Date: May 1987

  • DOI: https://doi.org/10.1007/BF00320086

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Keywords

  • Stochastic Process
  • Probability Theory
  • Statistical Theory
  • Probability Space
  • Early Paper
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