Furstenberg entropy spectra of stationary actions of semisimple Lie groups
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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