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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


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.


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

Primary: 60K35
Secondary: 60F05 , 60F15

Keywords: central limit theorem , reinforced random walks , Strong law of large numbers

Vol.14 • 2009
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