A logarithm law for automorphism groups of trees

Details A logarithm law for automorphism groups of trees A logarithm law for automorphism groups of trees

2005-11-09

arxiv.org/abs/math/0511231v2

Mathematics

Group Theory

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

Scientific paper

Let \Gamma be 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

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