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arXiv · 0907.4854

Limit theorems for vertex-reinforced jump processes on regular trees

Andrea Collevecchio
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Abstract

Consider a vertex-reinforced jump process defined on a regular tree, where each vertex has exactly $b$ children, with $b \ge 3$. We prove the strong law of large numbers and the central limit theorem for the distance of the process from the root. Notice that it is still unknown if vertex-reinforced jump process is transient on the binary tree.

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Andrea Collevecchio. 2009-07-28. Limit theorems for vertex-reinforced jump processes on regular trees. https://arxiv.org/abs/0907.4854

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