Shrinking Targets for Semisimple Groups
Dynamical Systems
2016-05-30 v2 Number Theory
Abstract
We study the shrinking target problem for actions of semisimple groups on homogeneous spaces, with applications to logarithm laws and Diophantine approximation.
Cite
@article{arxiv.1512.05848,
title = {Shrinking Targets for Semisimple Groups},
author = {Anish Ghosh and Dubi Kelmer},
journal= {arXiv preprint arXiv:1512.05848},
year = {2016}
}
Comments
We correct a mistake in the upper bound for the critical exponent and sharpen the lower bound