Random laminations and multitype branching processes
Probability
2011-03-29 v1
Abstract
We consider multitype branching processes arising in the study of random laminations of the disk. We classify these processes according to their subcritical or supercritical behavior and provide Kolmogorov-type estimates in the critical case corresponding to the random recursive lamination process of [1]. The proofs use the infinite dimensional Perron-Frobenius theory and quasi-stationary distributions.
Cite
@article{arxiv.1103.5217,
title = {Random laminations and multitype branching processes},
author = {Nicolas Curien and Yuval Peres},
journal= {arXiv preprint arXiv:1103.5217},
year = {2011}
}