Uniform distribution of orbits of lattices on spaces of frames

A Gorodnik

Research output: Contribution to journalArticle (Academic Journal)peer-review

10 Citations (Scopus)

Abstract

We study distribution of orbits of a lattice Gamma subset of or equal to SL(n, R) in the the space V-n,V-l of l-frames in R-n (1 less than or equal to l less than or equal to n - 1). Examples of dense Gamma-orbits are known from the work of Dani, Raghavan, and Veech. We show that dense orbits of Gamma are uniformly distributed in V-n,V-l with respect to an explicitly described measure. We also establish an analogous result for lattices in Sp(n, R) which act on the space of isotropic n-frames.
Translated title of the contributionUniform distribution of orbits of lattices on spaces of frames
Original languageEnglish
Pages (from-to)549 - 589
Number of pages41
JournalDuke Mathematical Journal
Volume122 (3)
DOIs
Publication statusPublished - Apr 2004

Bibliographical note

Publisher: Duke University Press

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