English

Distribution of orbits of unipotent groups on S-arithmetic homogeneous spaces

Dynamical Systems 2016-05-10 v1

Abstract

We will prove an S-arithmetic version of a theorem of Dani-Margulis on the convergence of ergodic averages of a given bounded continuous function, when the initial point is outside certain compact subsets of the singular set associated to the unipotent flow.

Keywords

Cite

@article{arxiv.1605.02436,
  title  = {Distribution of orbits of unipotent groups on S-arithmetic homogeneous spaces},
  author = {Keivan Mallahi-Karai},
  journal= {arXiv preprint arXiv:1605.02436},
  year   = {2016}
}