IP-systems and Recurrence in Ergodic Theory: an Update

Hillel Furstenberg

doi:10.1007/s11856-022-2435-y

IP-systems and Recurrence in Ergodic Theory: an Update

Hillel Furstenberg

Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	423-441
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	251
Issue number	2
DOIs	https://doi.org/10.1007/s11856-022-2435-y
State	Published - Dec 2022
Externally published	Yes

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Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.

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AB - 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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IP-systems and Recurrence in Ergodic Theory: an Update

Abstract

Bibliographical note

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