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Remarks on recurrence and orbit equivalence of nonsingular endomorphisms

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References

  1. J. Aaronson, Ergodic theory for inner functions of the upper half plane, Ann. Inst. H. Poincaré Sect B, 14 (1978), 233–253.

    MathSciNet  MATH  Google Scholar 

  2. A. Connes, J. Feldman and B. Weiss, An amenable equivalence relation is generated by a single transformation, Ergod. Th. & Dynam. Sys. 1(1981), 431–450.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Y.N. Dowker. A new proof of the general ergodic theorem, Acta Sci. Math. (Szeged) XII B(1950), 162–166.

    MathSciNet  MATH  Google Scholar 

  4. H.A. Dye, On groups of measure preserving transformations I, Amer. J. Math. 81(1959) 119–159.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. S.J. Eigen and C.E. Silva, A structure theorem for n-to-1 endomorphisms and existence of non-recurrent measures, preprint.

    Google Scholar 

  6. G. Letac, Which functions preserve Cauchy laws? Proc. Amer. Math. Soc. 67 (1977), 277–286.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. W. Krieger, On ergodic flows and the isomorphism of factors, Math. Ann. 223(1976), 19–70.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. D. Maharam, Incompressible transformations, Fund. Math. LVI (1964), 35–50.

    MathSciNet  MATH  Google Scholar 

  9. D. Rudolph, Restricted Orbit equivalence, Memoirs Amer. Math. Soc. 323, 1985.

    Google Scholar 

  10. K. Schmidt, Cocycles of ergodic transformation groups, New Delhi, India, 1977.

    Google Scholar 

  11. K. Schmidt, On Recurrence, Z. Wahrs. verw.Geb.68 (1984), 75–95.

    CrossRef  MATH  Google Scholar 

  12. C.E. Silva, On μ-recurrent nonsingular endomorphisms, Israel J. Math. (to appear).

    Google Scholar 

  13. R. Zimmer, Ergodic Theory and Semisimple groups, Birkhauser, Boston, 1984.

    Google Scholar 

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© 1988 Springer-Verlag

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Hawkins, J.M., Silva, C.E. (1988). Remarks on recurrence and orbit equivalence of nonsingular endomorphisms. In: Alexander, J.C. (eds) Dynamical Systems. Lecture Notes in Mathematics, vol 1342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082837

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  • DOI: https://doi.org/10.1007/BFb0082837

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