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arXiv · 2307.01495

Furstenberg entropy spectra of stationary actions of semisimple Lie groups

Jérémie Brieussel·Tianyi Zheng
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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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Jérémie Brieussel, Tianyi Zheng. 2023-07-04. Furstenberg entropy spectra of stationary actions of semisimple Lie groups. https://arxiv.org/abs/2307.01495

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