Limit Theorems for Reinforced Jump Processes on Regular Trees

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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Year of publication:	2008-11
Authors:	Collevecchio, Andrea
Institutions:	Dipartimento di Matematica Applicata, Università Ca' Foscari Venezia
Subject:	Reinforced random walks \| stochastic processes \| strong law of large numbers \| central limit theorem

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Extent:	application/pdf
Series:	Working Papers. - ISSN 1828-6887.
Type of publication:	Book / Working Paper
Language:	English
Notes:	Number 184 24 pages
Classification:	C02 - Mathematical Methods ; C00 - Mathematical and Quantitative Methods. General
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005819663