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Uniform bounds for period integrals and sparse equidistribution.

Tanis, J. and Vishe, P. (2015) 'Uniform bounds for period integrals and sparse equidistribution.', International mathematics research notices., 2015 (24). pp. 13728-13756.


Let M=Γ∖PSL(2,R) be a compact manifold, and let f∈C∞(M) be a function of zero average. We use spectral methods to get uniform (i.e., independent of spectral gap) bounds for twisted averages of f along long horocycle orbit segments. We apply this to obtain an equidistribution result for sparse subsets of horocycles on M.

Item Type:Article
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Publisher statement:This is a pre-copyedited, author-produced PDF of an article accepted for publication in International mathematics research notices following peer review. The version of record Tanis, J. & Vishe, P. (2015). Uniform Bounds for Period Integrals and Sparse Equidistribution. International Mathematics Research Notices 2015(24): 13728-13756 is available online at:
Date accepted:31 March 2015
Date deposited:13 September 2017
Date of first online publication:30 April 2015
Date first made open access:No date available

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