Ultrametric Logarithm Laws I
Geometric Topology
2008-11-20 v4 Dynamical Systems
Abstract
We announce ultrametric analogues of the results of Kleinbock-Margulis for shrinking target properties of semisimple group actions on symmetric spaces. The main applications are S-arithmetic Diophantine approximation results and logarithm laws for buildings, generalizing the work of Hersonsky-Paulin on trees.
Keywords
Cite
@article{arxiv.math/0506531,
title = {Ultrametric Logarithm Laws I},
author = {Jayadev S. Athreya and Anish Ghosh and Amritanshu Prasad},
journal= {arXiv preprint arXiv:math/0506531},
year = {2008}
}
Comments
This announcement has been completely revised to reflect many new developments. Please direct all references to this NEW announcement. It is now co-authored work. Submitted to Discrete and Continuous Dynamical Systems