The problem of isomorphy for general discrete memoryless stationary correlated sources

  • K. Marton
Article

Summary

Necessary and sufficient conditions are given for the isomorphy of discrete memoryless stationary correlated sources with maximal correlation less than 1.

Keywords

Stochastic Process Probability Theory Mathematical Biology Maximal Correlation Correlate Source 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Billingsley, P.: Ergodic Theory and Information, New York: Whiley 1965Google Scholar
  2. 2.
    Marton, K.: The Structure of Isomorphisms of Discrete Memoryless Correlated Sources. [Submitted to Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 1980]Google Scholar
  3. 3.
    Ornstein, D.S.: Ergodic Theory, Randomness and Dynamical Systems. Yale Mathematical Monographs 5. Yale University Press (1974)Google Scholar
  4. 4.
    Pinsker, M.S.: Information and Information Stability of Random Variables and Processes. Translated by A. Feinstein. San Francisco: Holden-Day 1964Google Scholar
  5. 5.
    Thouvenot, J.-P.: Remarques sur les systèmes dynamiques donnés avec plusieurs factéurs. Israel J. of Math. 21, 215–232 (1975)Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • K. Marton
    • 1
  1. 1.Mathematics Institute of the Hungarian Academy of SciencesBudapestHungary

Personalised recommendations