Rational Dynamical Systems

Details Rational Dynamical Systems Rational Dynamical Systems

2011-01-17

arxiv.org/abs/1101.3226v1

Mathematics

General Topology

19 pages

Scientific paper

We introduce the notion of a rational dynamical system extending the classical notion of a topological dynamical system and we prove (multiple) recurrence results for such systems via a partition theorem for the rational numbers proved by Farmaki and the author. In particular, we extend classical recurrence results developed by Furstenberg and Weiss. Also, we give some applications of these topological recurrence results to topology, to combinatorics, to diophantine approximations and to number theory.

Affiliated with

Also associated with

No associations

Rating

Rational Dynamical Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rational Dynamical Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rational Dynamical Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-286358