Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces |
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| Authors: | M. Einsiedler G. Margulis A. Venkatesh |
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| Affiliation: | (1) Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, OH 43210-1174, USA;(2) Department of Mathematics, Yale University, 10 Hillhouse Ave., New Haven, CT 06520-8283, USA;(3) Department of Mathematics, Stanford University, Stanford, CA 94305, USA |
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| Abstract: | We prove effective equidistribution, with polynomial rate, for large closed orbits of semisimple groups on homogeneous spaces, under certain technical restrictions (notably, the acting group should have finite centralizer in the ambient group). The proofs make extensive use of spectral gaps, and also of a closing lemma for such actions. |
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