Idempotent ultrafilters and polynomial recurrence

Abstract

We give a new proof of a polynomial recurrence result due to Bergelson, Furstenberg, and McCutcheon, using idempotent ultrafilters instead of IP-limits.

25 pages

Cited by in corpus (3)

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• Actions of trees on semigroups, and an infinitary Gowers--Hales--Jewett Ramsey theorem
• Applications of Ultrafilters in Ergodic Theory and Combinatorial Number Theory