Gap distributions and homogeneous dynamics
Dynamical Systems
2014-09-24 v2 Geometric Topology
Number Theory
Abstract
We survey the use of dynamics of -actions to understand gap distributions for various sequences of subsets of , particularly those arising from special trajectories of various two-dimensional dynamical systems. We state and prove an abstract theorem that gives a unified explanation for some of the examples we present.
Cite
@article{arxiv.1210.0816,
title = {Gap distributions and homogeneous dynamics},
author = {Jayadev S. Athreya},
journal= {arXiv preprint arXiv:1210.0816},
year = {2014}
}
Comments
to appear in Proceedings of ICM Satellite Conference on Geometry, Topology, and Dynamics in Negative Curvarture