English

Random walks of circle packings

Metric Geometry 2009-09-25 v1 Complex Variables

Abstract

A notion of random walks for circle packings is introduced. The geometry behind this notion is discussed, together with some applications. In particular, we obtain a short proof of a result regarding the type problem for circle packings, which shows that the type of a circle packing is closely related to the type of its tangency graph.

Keywords

Cite

@article{arxiv.math/9508215,
  title  = {Random walks of circle packings},
  author = {Tomasz Dubejko},
  journal= {arXiv preprint arXiv:math/9508215},
  year   = {2009}
}