A renormalization approach to irrational rotations

Details A renormalization approach to irrational rotations A renormalization approach to irrational rotations

2007-07-31

arxiv.org/abs/0708.0048v1

Mathematics

Dynamical Systems

27 pages

Scientific paper

We introduce a renormalization procedure which allows us to study in a unified and concise way different properties of the irrational rotations on the unit circle $\beta \mapsto \set{\alpha+\beta}$, $\alpha \in \R\setminus \Q$. In particular we obtain sharp results for the diffusion of the walk on $\Z$ generated by the location of points of the sequence $\{n\alpha +\beta\}$ on a binary partition of the unit interval. Finally we give some applications of our method.

Affiliated with

Also associated with

No associations

Rating

A renormalization approach to irrational rotations 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 A renormalization approach to irrational rotations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A renormalization approach to irrational rotations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-52205