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arXiv · 1511.01721

Critical Multi-Type Galton-Watson Trees Conditioned to be Large

Romain Abraham·Jean-François Delmas·Hongsong Guo
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Abstract

Under minimal condition, we prove the local convergence of a critical multi-type Galton-Watson tree conditioned on having a large total progeny by types towards a multi-type Kesten's tree. We obtain the result by generalizing Neveu's strong ratio limit theorem for aperiodic random walks on Z^d .

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Romain Abraham, Jean-François Delmas, Hongsong Guo. 2016-09-27. Critical Multi-Type Galton-Watson Trees Conditioned to be Large. https://arxiv.org/abs/1511.01721

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