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Limit Theorems for Reinforced Jump Processes on Regular Trees

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Author Info
Andrea Collevecchio () (Department of Applied Mathematics, University of Venice)

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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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File URL: http://www.dma.unive.it/wpdma/2008wp184.pdf
File Format: application/pdf
File Function: First version, 2008
Download Restriction: no

Publisher Info
Paper provided by Department of Applied Mathematics, University of Venice in its series Working Papers with number 184.

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Length: 24 pages
Date of creation: Nov 2008
Date of revision:
Handle: RePEc:vnm:wpaper:184

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Web page: http://www.dma.unive.it/
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Related research
Keywords: Reinforced random walks; stochastic processes; strong law of large numbers; central limit theorem;

Find related papers by JEL classification:
C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
C00 - Mathematical and Quantitative Methods - - General - - - General

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This page was last updated on 2009-11-25.

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