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Natural coefficients and invariants for Markov-shifts

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References

  1. Adler, R.L., Marcus, B.: Topological entropy and equivalence of dynamical systems. Mem. Amer. Math. Soc.20, (No. 219) (1979)

  2. Butler, R., Schmidt, K.: An information cocycle for groups of non-singular transformations. (Preprint)

  3. Hewitt, E., Savage, L.J.: Symmetric measures on Cartesian products. Trans. Amer. Math. Soc.80, 470–501 (1955)

    Google Scholar 

  4. Ibragimov, I.A., Linnik, Yu.V.: Independent and stationary sequences of random variables. Groningen: Wolters-Noordhoff 1971

    Google Scholar 

  5. Keane, M., Smorodinsky, M.: Finitary isomorphisms of irreducible Markov shifts. Israel J. Math.34, 281–286 (1979)

    Google Scholar 

  6. Krieger, W.: On the finitary isomorphisms of Markov shifts that have finite expected coding time. Z. Wahrscheinlichkeitstheorie verw. Gebiete65, 323–328 (1983)

    Google Scholar 

  7. Moore, C.C., Schmidt, K.: Coboundaries and homomorphisms for non-singular actions and a problem of H. Helson. Proc. London Math. Soc.40, 443–475 (1980)

    Google Scholar 

  8. Parry, W.: Endomorphisms of a Lebesgue space. III. Israel J. Math.21, 167–172 (1975)

    Google Scholar 

  9. Parry, W.: Finitary isomorphisms with finite expected code-lengths. Bull. London Math. Soc.11, 170–176 (1979)

    Google Scholar 

  10. Parry, W., Tuncel, S.: On the classification of Markov chains by finite equivalence. Ergod. Th. and Dynam. Sys.1, 305–335 (1981)

    Google Scholar 

  11. Parry, W., Tuncel, S.: On the stochastic and topological structure of Markov chains. Bull. London Math. Soc.14, 16–27 (1982)

    Google Scholar 

  12. Tuncel, S.: Conditional pressure and coding. Israel J. Math.39, 101–112 (1981)

    Google Scholar 

  13. Tuncel, S.: A dimension, dimension modules and Markov chains. Proc. London Math. Soc.46, 100–116 (1983)

    Google Scholar 

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Parry, W., Schmidt, K. Natural coefficients and invariants for Markov-shifts. Invent Math 76, 15–32 (1984). https://doi.org/10.1007/BF01388488

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  • DOI: https://doi.org/10.1007/BF01388488

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