Random laminations and multitype branching processes

Details Random laminations and multitype branching processes Random laminations and multitype branching processes

2011-03-27

arxiv.org/abs/1103.5217v1

Mathematics

Probability

Scientific paper

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.

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