Furstenberg entropy spectra of stationary actions of semisimple Lie groups

Published 4 Jul 2023 in math.DS, math.GR, and math.PR | (2307.01495v1)

Abstract: We determine Furstenberg entropy spectra of ergodic stationary actions of $SL(d,\mathbb{R})$ 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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