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On The Deviation Of Ergodic Averages For Horocycle Flows
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2013 (English)In: Journal of Modern Dynamics, ISSN 1930-5311, Vol. 7, no 2, 291-328 p.Article in journal (Refereed) Published
Abstract [en]

We give effective bounds on the deviation of ergodic averages for the horocycle flow on the unit tangent bundle of a noncompact hyperbolic surface of finite area. The bounds depend on the small eigenvalues of the Laplacian and on the rate of excursion into cusps for the geodesic corresponding to the given initial point. We also prove Omega-results which show that in a certain sense our bounds are essentially the best possible for any given initial point.

Place, publisher, year, edition, pages
2013. Vol. 7, no 2, 291-328 p.
Keyword [en]
Horocycle flow, effective equidistribution, small eigenvalues
National Category
Natural Sciences Mathematics
URN: urn:nbn:se:uu:diva-209881DOI: 10.3934/jmd.2013.7.291ISI: 000325010900006OAI: oai:DiVA.org:uu-209881DiVA: diva2:659844
Available from: 2013-10-28 Created: 2013-10-28 Last updated: 2013-10-28Bibliographically approved

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Strömbergsson, Andreas
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