Rapid convergence to frequency for Substitution Tilings of the Plane

Details Rapid convergence to frequency for Substitution Tilings of the Plane Rapid convergence to frequency for Substitution Tilings of the Plane

2010-07-18

arxiv.org/abs/1007.3014v2

Physics

Mathematical Physics

Minor corrections suggested by the referee. To appear in Communications in Mathematical Physics

Scientific paper

This paper concerns self-similar tilings in dimension 2. We consider the number of occurrences of a given tile in any domain bounded by a Jordan curve. For a large class of self-similar tilings, including most known examples, we give estimates of the oscillation of this number of occurrences around its average frequency times the total number of tiles in the domain, which depend only on the Jordan curve.

Affiliated with

Also associated with

No associations

Rating

Rapid convergence to frequency for Substitution Tilings of the Plane 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 Rapid convergence to frequency for Substitution Tilings of the Plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rapid convergence to frequency for Substitution Tilings of the Plane will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-523250