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Limit theorems for vertex-reinforced jump processes on regular trees

   
@article{EJP693,
	author = {Andrea Collevecchio},
	title = {Limit theorems for vertex-reinforced jump processes on regular trees},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {14},
	year = {2009},
	keywords = {Reinforced random walks; strong law of large numbers; central limit theorem},
	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.},
	pages = {no. 66, 1936-1962},
	issn = {1083-6489},
	doi = {10.1214/EJP.v14-693},    
        url = {http://ejp.ejpecp.org/article/view/693}}