Open Access
Translator Disclaimer
2011 Random laminations and multitype branching processes
Nicolas Curien, Yuval Peres
Author Affiliations +
Electron. Commun. Probab. 16: 435-446 (2011). DOI: 10.1214/ECP.v16-1641

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.

Citation

Download Citation

Nicolas Curien. Yuval Peres. "Random laminations and multitype branching processes." Electron. Commun. Probab. 16 435 - 446, 2011. https://doi.org/10.1214/ECP.v16-1641

Information

Accepted: 19 August 2011; Published: 2011
First available in Project Euclid: 7 June 2016

zbMATH: 1254.60016
MathSciNet: MR2831082
Digital Object Identifier: 10.1214/ECP.v16-1641

Subjects:
Primary: 60C05
Secondary: 60D05

JOURNAL ARTICLE
12 PAGES


SHARE
Back to Top