IP-systems and Recurrence in Ergodic Theory: an Update

Hillel Furstenberg

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)423-441
Number of pages19
JournalIsrael Journal of Mathematics
Issue number2
StatePublished - Dec 2022
Externally publishedYes

Bibliographical note

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


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