Uniform infinite planar triangulation and related time-reversed critical branching process
Probability
2007-05-23 v1 Combinatorics
Abstract
We establish a connection between the uniform infinite planar triangulation and some critical time-reversed branching process. This allows to find a scaling limit for the principal boundary component of a ball of radius R for large R (i.e. for a boundary component separating the ball from infinity). We show also that outside of R-ball a contour exists that has length linear in R.
Keywords
Cite
@article{arxiv.math/0311127,
title = {Uniform infinite planar triangulation and related time-reversed critical branching process},
author = {Maxim Krikun},
journal= {arXiv preprint arXiv:math/0311127},
year = {2007}
}
Comments
27 pages, 5 figures, LaTeX