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VOL. 57 | 2010 Stochastic homogenization of horospheric tree products
Vadim A. Kaimanovich, Florian Sobieczky

Editor(s) Motoko Kotani, Masanori Hino, Takashi Kumagai

Abstract

We construct measures invariant with respect to equivalence relations which are graphed by horospheric products of trees. The construction is based on using conformal systems of boundary measures on treed equivalence relations. The existence of such an invariant measure allows us to establish amenability of horospheric products of random trees.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1203.37013
MathSciNet: MR2648261

Digital Object Identifier: 10.2969/aspm/05710199

Subjects:
Primary: 37A20
Secondary: 05C80, ‎43A07‎, 60J80

Rights: Copyright © 2010 Mathematical Society of Japan

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