English

Logarithm Laws for Unipotent Flows, II

Dynamical Systems 2014-11-24 v1

Abstract

We prove analogs of the logarithm laws of Sullivan and Kleinbock-Margulis in the context of unipotent flows. In particular, we prove results for horospherical actions on homogeneous spaces G/ΓG/\Gamma. We describe some relations with multi-dimensional diophantine approximation.

Keywords

Cite

@article{arxiv.1411.5900,
  title  = {Logarithm Laws for Unipotent Flows, II},
  author = {Jayadev S. Athreya and Gregory Margulis},
  journal= {arXiv preprint arXiv:1411.5900},
  year   = {2014}
}
R2 v1 2026-06-22T07:07:29.085Z