Translator Disclaimer
2021 The speed of random walk on Galton-Watson trees with vanishing conductances
Tabea Glatzel, Jan Nagel
Author Affiliations +
Electron. J. Probab. 26: 1-19 (2021). DOI: 10.1214/21-EJP645

Abstract

In this paper we consider random walks on Galton-Watson trees with random conductances. On these trees, the distance of the walker to the root satisfies a law of large numbers with limit the effective velocity, or speed of the walk. We study the regularity of the speed as a function of the distribution of conductances, in particular when the distribution of conductances converges to a non-elliptic limit.

Acknowledgments

We thank two anonymous referees for helpful comments on an earlier version of this paper.

Citation

Download Citation

Tabea Glatzel. Jan Nagel. "The speed of random walk on Galton-Watson trees with vanishing conductances." Electron. J. Probab. 26 1 - 19, 2021. https://doi.org/10.1214/21-EJP645

Information

Received: 4 December 2020; Accepted: 4 May 2021; Published: 2021
First available in Project Euclid: 7 July 2021

Digital Object Identifier: 10.1214/21-EJP645

Subjects:
Primary: 60F15, 60J80, 60K37, 60K40

JOURNAL ARTICLE
19 PAGES


SHARE
Vol.26 • 2021
Back to Top