Uniform Infinite Planar Triangulations
Probability
2009-11-07 v3 Mathematical Physics
math.MP
Abstract
The existence of the weak limit as n --> infinity of the uniform measure on rooted triangulations of the sphere with n vertices is proved. Some properties of the limit are studied. In particular, the limit is a probability measure on random triangulations of the plane.
Cite
@article{arxiv.math/0207153,
title = {Uniform Infinite Planar Triangulations},
author = {Omer Angel and Oded Schramm},
journal= {arXiv preprint arXiv:math/0207153},
year = {2009}
}
Comments
36 pages, 4 figures; Journal revised version