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The rate of mixing for geodesic and horocycle flows

Published online by Cambridge University Press:  19 September 2008

Marina Ratner
Marina Ratner
Affiliation:
Department of Mathematics, University of California, Berkeley, CA 94720, USA
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 2 , June 1987 , pp. 267 - 288
Copyright
Copyright © Cambridge University Press 1987

References

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