Criterion of unlimited growth of critical multidimensional stochastic models

Etienne Adam

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arXiv · 1502.04046

Criterion of unlimited growth of critical multidimensional stochastic models

Etienne Adam

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Abstract

We give a criterion for unlimited growth with positive probability for a large class of multidimensional stochastic models. As a by-product, we recover the necessary and sufficient conditions for recurrence and transience for critical multitype Galton-Watson with immigration processes. We also significantly improve some results on multitype size-dependent Galton-Watson processes.

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Etienne Adam. 2015-02-13. Criterion of unlimited growth of critical multidimensional stochastic models. https://arxiv.org/abs/1502.04046

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