A logarithm law for automorphism groups of trees

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Let 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
11 pages, a minor revision, to appear in Archiv der Mathematik

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Group Theory, Metric Geometry, 20E08, 11J61, 20G25

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http://salesiana.dossiersoluciones.com/handle/123456789/104854

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511231
 http://arxiv.org/abs/math/0511231

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arXiv