Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces

2007/08/30 by M. Einsiedler, Einsiedler, M., G. Margulis +3 · 2 citations
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #math.DS #math.NT

paper · pdf · doi:10.48550/arxiv.0708.4040

arxiv created 2007/08/30 · arxiv updated 2009/12/01

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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