Lattice action on the boundary of SL(n,R)

Alexander Gorodnik (Gorodnyk)

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

11 Citations (Scopus)


Let Gamma be a lattice in G = SL(n, R) and X = G/S be a homogeneous space of G, where S is a closed subgroup of G which contains a real algebraic subgroup H such that G/H is compact. We establish the uniform distribution of orbits of Gamma in X analogous to the classical equidistribution on a torus. To obtain this result, we first prove an ergodic theorem along balls in the connected component of a Borel subgroup of G.
Translated title of the contributionLattice action on the boundary of SL(n,R)
Original languageEnglish
Pages (from-to)1817-1837
Number of pages21
JournalErgodic Theory and Dynamical Systems
Issue number6
Publication statusPublished - Dec 2003

Bibliographical note

Publisher: Cambridge Univ Press


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