The Spread of a Catalytic Branching Random Walk

Philippe Carmona; Yueyun Hu

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arXiv · 1202.0637

The Spread of a Catalytic Branching Random Walk

Philippe Carmona·Yueyun Hu

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Abstract

We consider a random walk on $\Z$ that branches at the origin only. In the supercritical regime we establish a law of large number for the maximal position $M_n$. Then we determine all possible limiting law for the sequence $M_n -αn$ where $α$ is a deterministic constant.

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Philippe Carmona, Yueyun Hu. 2012-09-27. The Spread of a Catalytic Branching Random Walk. https://arxiv.org/abs/1202.0637

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