Multiple recurrence for two commuting transformations

Details Multiple recurrence for two commuting transformations Multiple recurrence for two commuting transformations

2009-12-17

arxiv.org/abs/0912.3381v1

Mathematics

Dynamical Systems

Scientific paper

This paper is devoted to a study of the multiple recurrence of two commuting
transformations. We derive a result which is similar but not identical to that
of one single transformation established by Bergelson, Host and Kra. We will
use the machinery of "magic systems" established recently by B. Host for the
proof.

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