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- Publisher
- Springer Journals
- Copyright
- Copyright © Springer-Verlag 1986
- ISSN
- 0178-8051
- eISSN
- 1432-2064
- DOI
- 10.1007/bf01000210
- Publisher site
- See Article on Publisher Site
Abstract
SummaryNearest neighbour random walks on the homogeneous tree representing a free group withs generators (2≦s∞) are investigated. By use of generating functions and their analytic properties a local limit theorem is derived. A study of the harmonic functions corresponding to the random walk leads to properties that characterize ther-harmonic function connected with the local limits.
Journal
Probability Theory and Related Fields – Springer Journals
Published: Sep 1, 1986
Keywords: Free Group; Stochastic Process; Random Walk; Probability Theory; Harmonic Function