A logarithm law for automorphism groups of trees

Abstract : Let G 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
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00014041
Contributor : Frédéric Paulin <>
Submitted on : Thursday, November 17, 2005 - 12:12:15 PM
Last modification on : Tuesday, April 2, 2019 - 2:15:46 PM

Links full text

Identifiers

Collections

Citation

Sa'Ar Hersonsky, Frederic Paulin. A logarithm law for automorphism groups of trees. 2005. ⟨hal-00014041⟩

Share

Metrics

Record views

151