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Onμ-recurrent nonsingular endomorphisms

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Abstract

We show that the Maharam skew product ofμ-recurrent nonsingular endomorphisms is conservative and give some applications. Among them is the construction of a conservative ergodic invertible natural extension forμ-recurrent ergodic nonsingular endomorphisms.

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Authors and Affiliations

  1. Department of Mathematics, Williams College, 01267, Williamstown, MA, USA

    Cesar E. Silva

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  1. Cesar E. Silva
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Supported in part by a Williams College Faculty Research Grant.

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Silva, C.E. Onμ-recurrent nonsingular endomorphisms. Israel J. Math. 61, 1–13 (1988). https://doi.org/10.1007/BF02776298

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  • DOI: https://doi.org/10.1007/BF02776298

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