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2009 Limit theorems for vertex-reinforced jump processes on regular trees
Andrea Collevecchio
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Electron. J. Probab. 14: 1936-1962 (2009). DOI: 10.1214/EJP.v14-693

Abstract

Consider a vertex-reinforced jump process defined on a regular tree, where each vertex has exactly $b$ children, with $b \geq 3$. 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. "Limit theorems for vertex-reinforced jump processes on regular trees." Electron. J. Probab. 14 1936 - 1962, 2009. https://doi.org/10.1214/EJP.v14-693

Information

Accepted: 16 September 2009; Published: 2009
First available in Project Euclid: 1 June 2016

zbMATH: 1189.60170
MathSciNet: MR2540854
Digital Object Identifier: 10.1214/EJP.v14-693

Subjects:
Primary: 60K35
Secondary: 60F05, 60F15

JOURNAL ARTICLE
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Vol.14 • 2009
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