Limit theorems for vertex-reinforced jump processes on regular trees
Andrea Collevecchio, Università Ca' Foscari-Venice
Abstract
Consider a vertex-reinforced jump process defined on a regular tree, where each vertex has exactly b children, with b ≥ 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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