Local mixing on abelian covers of hyperbolic surfaces with cusps

Pan, Wenyu

doi:10.1090/proc/15340

Local mixing on abelian covers of hyperbolic surfaces with cusps
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Proc. Amer. Math. Soc. 149 (2021), 2501-2514 Request permission

Abstract:

We prove the local mixing theorem for geodesic flows on abelian covers of finite volume hyperbolic surfaces with cusps, which is a continuation of the work [Hee Oh and Wenyu Pan, Int. Math. Res. Not. 19 (2019), pp. 6036–6088]. We also describe applications to counting problems and the prime geodesic theorem.

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