Furstenberg entropy spectra of stationary actions of semisimple Lie groups

2023/07/04 by Brieussel, Jérémie, Zheng, Tianyi
#Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Probability (math.PR)

paper · doi:10.48550/arxiv.2307.01495

Abstract

We determine Furstenberg entropy spectra of ergodic stationary actions of SL(d,ℝ) and its lattices. The constraints on entropy spectra are derived from a refinement of the Nevo-Zimmer projective factor theorem. The realisation part is achieved by means of building Poisson bundles over stationary random subgroups.

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