On Multiple Recurrence
Dynamical Systems
2007-05-23 v1 Number Theory
Abstract
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)}.
Cite
@article{arxiv.math/0406413,
title = {On Multiple Recurrence},
author = {I. D. Shkredov},
journal= {arXiv preprint arXiv:math/0406413},
year = {2007}
}
Comments
7 pages