Proximality and equidistribution on the Furstenberg boundary

A Gorodnik, F Maucourant

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

8 Citations (Scopus)

Abstract

Let G be a connected semisimple Lie group with finite center and without compact factors, P a minimal parabolic subgroup of G, and Gamma a lattice in G. We prove that every Gamma-orbits in the Furstenberg boundary G/P is equidistributed for the averages over Riemannian balls. The proof is based on the proximality of the action of Gamma on G/P.
Translated title of the contributionProximality and equidistribution on the Furstenberg boundary
Original languageEnglish
Pages (from-to)197 - 213
Number of pages17
JournalGeometriae Dedicata
Volume113 (1)
DOIs
Publication statusPublished - Jun 2005

Bibliographical note

Publisher: Springer

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