The rate of mixing for geodesic and horocycle flows
The rate of mixing for geodesic and horocycle flows
Abstract Using elementary methods we show that for every unitary representation π7 of G = SL(2, ℝ) with no non-zero invariant vectors the matrix coefficients 〈 π(a(t))v, w 〉 of decay exponentially fast for any vectors v , w Holder continuous in the direction of the rotation subgroup of G …