Random laminations and multitype branching processes

Nicolas Curien; Yuval Peres

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arXiv · 1103.5217

Random laminations and multitype branching processes

Nicolas Curien·Yuval Peres

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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.

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Nicolas Curien, Yuval Peres. 2011-03-27. Random laminations and multitype branching processes. https://arxiv.org/abs/1103.5217

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