On Dynamical Systems With Slow Recurrence Time

Details On Dynamical Systems With Slow Recurrence Time On Dynamical Systems With Slow Recurrence Time

2005-07-17

arxiv.org/abs/math/0507345v1

Mathematics

Dynamical Systems

18 pages

Scientific paper

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.

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