On Dynamical Systems With Slow Recurrence Time
Dynamical Systems
2015-06-26 v1 Number Theory
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.
Cite
@article{arxiv.math/0507345,
title = {On Dynamical Systems With Slow Recurrence Time},
author = {I. Shkredov},
journal= {arXiv preprint arXiv:math/0507345},
year = {2015}
}
Comments
18 pages