Rerooting multi-type branching trees: the infinite spine case
Probability
2021-02-24 v2 Combinatorics
Abstract
We prove local convergence results of rerooted conditioned multi-type Galton--Watson trees. The limit objects are multitype variants of the random sin-tree constructed by Aldous (1991), and differ according to which types recur infinitely often along the backwards growing spine.
Keywords
Cite
@article{arxiv.1908.04843,
title = {Rerooting multi-type branching trees: the infinite spine case},
author = {Benedikt Stufler},
journal= {arXiv preprint arXiv:1908.04843},
year = {2021}
}
Comments
The paper was split during the review process following a referee's recommendation. The results on Boltzmann planar maps are now a separate paper: [22]