Inventiones mathematicae

, Volume 177, Issue 1, pp 137–212 | Cite as

Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces



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.


Invariant Measure Homogeneous Space Haar Measure Closed Orbit Sobolev Norm 
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© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of MathematicsThe Ohio State UniversityColumbusUSA
  2. 2.Department of MathematicsYale UniversityNew HavenUSA
  3. 3.Department of MathematicsStanford UniversityStanfordUSA

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