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Anosov groups: local mixing, counting and equidistribution

Anosov groups: local mixing, counting and equidistribution

Let G be a connected semisimple real algebraic group, and Γ < G be a Zariski dense Anosov subgroup with respect to a minimal parabolic subgroup.We describe the asymptotic behavior of matrix coefficients (exp tv).f1, f2 in L 2 (Γ\G) as t → ∞ for any f1, f2 ∈ Cc(Γ\G) …