English

On one property of distances in the infinite random quadrangulation

Probability 2008-12-18 v1

Abstract

We show that the Schaeffer's tree for an infinite quadrangulation only changes locally when changing the root of the quadrangulation. This follows from one property of distances in the infinite uniform random quadrangulation.

Keywords

Cite

@article{arxiv.0805.1907,
  title  = {On one property of distances in the infinite random quadrangulation},
  author = {Maxim Krikun},
  journal= {arXiv preprint arXiv:0805.1907},
  year   = {2008}
}