A logarithm law for automorphism groups of trees

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dc.creatorHersonsky, Sa'ar
dc.creatorPaulin, Frederic
dc.date2005-11-09
dc.date2006-12-08
dc.date.accessioned2026-07-07T06:51:02Z
dc.date.available2026-07-07T06:51:02Z
dc.descriptionLet Γbe a geometrically finite tree lattice. We prove a Khintchine-Sullivan type theorem for the Hausdorff measure of the points at infinity of the tree that are well approximated by the parabolic fixed points of G. Using Bruhat-Tits trees, an application is given for the Diophantine approximation of formal Laurent series in the variable 1/X over the finite field Fq by rational fractions in X over Fq, satisfying some congruence properties
dc.description11 pages, a minor revision, to appear in Archiv der Mathematik
dc.identifierhttps://arxiv.org/abs/math/0511231
dc.identifierhttp://arxiv.org/abs/math/0511231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104854
dc.subjectGroup Theory
dc.subjectMetric Geometry
dc.subject20E08, 11J61, 20G25
dc.titleA logarithm law for automorphism groups of trees
dc.typetext

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