On Dynamical Systems With Slow Recurrence Time
arXiv:math/0507345 · doi:10.1070/SM2006v197n11ABEH003818
Abstract
Using a result of Behrend concerning sets without arithmetic progressions, we construct some examples of dynamical systems with slow time of multiple recurrence. Our theorem is a quatitative analog of Furstenberg's Correspondence Principle.
18 pages