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Speed of Random Walks in Dirichlet Environment on a Galton-Watson Tree by Qian, Dongjian; Xiao, Yang is a scholarly article available to read on EtoBox.

What is Speed of Random Walks in Dirichlet Environment on a Galton-Watson Tree about?

This paper deals with a transient random walk in Dirichlet environment, or equivalently a linearly edge reinforced random walk, on a Galton-Watson tree. We compute the stationary distribution of the environment seen from the particle of an edge reinforced random walk. We obtain a formula for the speed and give a necessary and sufficient condition for the walk to have a positive speed under some moment conditions on the offspring distribution of the tree.

Author

Qian, Dongjian; Xiao, Yang

Published

2024

Language

EN