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Thermodynamic Formalism for Quasimorphisms: Lattices in Higher Rank Semisimple Lie Groups
We give a new proof, based on thermodynamic formalism, of a foundational result of Burger and Monod in bounded cohomology. Let $G$ be a noncompact connected semisimple real Lie group with finite center and no factors of real rank one, and let $Γ<G$ be a uniform lattice. We prove that, for every orth
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