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 . The proofs use the infinite dimensional Perron-Frobenius theory and quasi-stationary distributions.
"Random laminations and multitype branching processes." Electron. Commun. Probab. 16 435 - 446, 2011. https://doi.org/10.1214/ECP.v16-1641