On Multiple Recurrence

Details On Multiple Recurrence On Multiple Recurrence

2004-06-21

arxiv.org/abs/math/0406413v1

Mathematics

Dynamical Systems

7 pages

Scientific paper

Let X be a metric space with metric d and T,S be two commutative
measure-preserving maps of X. In this paper we obtain numerical results about
multiple recurrence of almost every point of this dynamical system. On other
words we study the question about convergence to zero of max{d(T^n x,x), d(S^n
x,x)}.

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