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

dc.creatorGorodnik, Alexander
dc.date2003-10-16
dc.date.accessioned2026-07-07T05:01:56Z
dc.date.available2026-07-07T05:01:56Z
dc.descriptionLet Γbe a lattice in G=SL(n,R) and X=G/S 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 uniform distribution of orbits of Γin X analogous to the classical equidistribution on torus. To obtain this result, we first prove an ergodic theorem along balls in the connected component of Borel subgroup of G.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0310233
dc.identifierhttp://arxiv.org/abs/math/0310233
dc.identifierErgodic Theory Dynam. Systems 23 (2003), 1--21
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68868
dc.subjectDynamical Systems
dc.subject37A15, 37A17, 22E40
dc.titleLattice action on the boundary of SL(n,R)
dc.typetext

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