Random walks in negative curvature and boundary representations

2020/01/12 by Kévin Boucher, Boucher, Kevin · 1 citation
Mathematics · #37A30 20P05 #Advanced Operator Algebra Research #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Group Theory (math.GR) #Point processes and geometric inequalities #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2001.03932

openalex publication_date 2020/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we establish a version of the Margulis Roblin equidistribution theorem's for harmonic measures. As a consequence a von Neumann type theorem is obtained for boundary actions and the irreducibility of the associated quasi-regular representations is deduced.

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