Ergodic boundary representations

2016/08/25 by Boyer, Adrien, Link, Gabriele, Pittet, Christophe
#47 #Dynamical Systems (math.DS) #FOS: Mathematics #Primary: 22D40. Secondary: 43

paper · doi:10.48550/arxiv.1608.07131

Abstract

We prove a von Neumann type ergodic theorem for averages of unitary operators arising from the Furstenberg-Poisson boundary representation (the quasi-regular representation) of any lattice in a non-compact connected semisimple Lie group with finite center.

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