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Local mixing on abelian covers of hyperbolic surfaces with cusps
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2021-03-22 , DOI: 10.1090/proc/15340
Wenyu Pan

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.


中文翻译:

双曲曲面的阿贝尔覆盖上具有尖点的局部混合

摘要:我们证明了带有尖点的有限体积双曲曲面的阿贝尔封面上的测地流的局部混合定理,这是这项工作的延续[Hee Oh and Panwenyu,Int。数学。Res。不是。19(2019),pp.6036-6088]。我们还描述了计数问题和素测地线定理的应用。
更新日期:2021-04-22
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