An avoidance principle and Margulis functions for expanding translates of unipotent orbits
Dynamical Systems
2022-06-27 v1
Abstract
We prove an avoidance principle for expanding translates of unipotent orbits for some semisimple homogeneous spaces. In addition, we prove a quantitative isolation result of closed orbits and give an upper bound on the number of closed orbits of bounded volume. The proofs of our results rely on the construction of a Margulis function and the theory of finite dimensional representations of semisimple Lie groups.
Keywords
Cite
@article{arxiv.2206.12019,
title = {An avoidance principle and Margulis functions for expanding translates of unipotent orbits},
author = {Anthony Sanchez and Juno Seong},
journal= {arXiv preprint arXiv:2206.12019},
year = {2022}
}
Comments
30 pages