Triangulating stable laminations
Probability
2016-02-17 v1
Abstract
We study the asymptotic behavior of random simply generated noncrossing planar trees in the space of compact subsets of the unit disk, equipped with the Hausdorff distance. Their distributional limits are obtained by triangulating at random the faces of stable laminations, which are random compact subsets of the unit disk made of non-intersecting chords coded by stable L\'evy processes. We also study other ways to "fill-in" the faces of stable laminations, which leads us to introduce the iteration of laminations and of trees.
Keywords
Cite
@article{arxiv.1509.02829,
title = {Triangulating stable laminations},
author = {Igor Kortchemski and Cyril Marzouk},
journal= {arXiv preprint arXiv:1509.02829},
year = {2016}
}
Comments
34 pages, 5 figures