A logarithm law for automorphism groups of trees
Group Theory
2007-05-23 v2 Metric Geometry
Abstract
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
Cite
@article{arxiv.math/0511231,
title = {A logarithm law for automorphism groups of trees},
author = {Sa'ar Hersonsky and Frederic Paulin},
journal= {arXiv preprint arXiv:math/0511231},
year = {2007}
}
Comments
11 pages, a minor revision, to appear in Archiv der Mathematik