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IP-systems and Recurrence in Ergodic Theory: an Update

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Abstract

In contemporary dynamical systems theory one studies families of transformations acting on a space, the structure of the family usually that of a group or semigroup. IP-systems of transformations with a more general multiplicative structure provide a natural setting for recurrence and multiple recurrence phenomena. We study these as well as their consequences for number theory and combinatorics.

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Authors and Affiliations

  1. Einstaein Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, Jerusalem, 91904, Israel

    Hillel Furstenberg

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  1. Hillel Furstenberg
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Correspondence to Hillel Furstenberg.

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Dedicated to Benjamin Weiss in gratitude and admiration.

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Furstenberg, H. IP-systems and Recurrence in Ergodic Theory: an Update. Isr. J. Math. 251, 423–441 (2022). https://doi.org/10.1007/s11856-022-2435-y

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  • DOI: https://doi.org/10.1007/s11856-022-2435-y

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