Abstract
The affine group of a homogeneous tree is the group of all its isometries fixing an end of its boundary. We consider a random walk with law μ on this group and the associated random processes on the tree and its boundary. In the drift-free case there exists on the boundary of the tree a unique μ-invariant Radon measure. In this paper we describe its behaviour at infinity.
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This research project has been partially supported by MNiSW grant N N201 393937.
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Buraczewski, D., Kolesko, K. Random Walks on the Affine Group of a Homogeneous Tree in the Drift-Free Case. J Theor Probab 25, 189–204 (2012). https://doi.org/10.1007/s10959-010-0323-6
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DOI: https://doi.org/10.1007/s10959-010-0323-6