The Cohomological Equation and Invariant Distributions for Horocycle Maps
Dynamical Systems
2019-02-20 v5
Abstract
We study the invariant distributions for the horocycle map on and prove Sobolev estimates for the cohomological equation of the horocycle map. As an application, we obtain an estimate for the rate of equidistribution for horocycle maps on compact manifolds.
Keywords
Cite
@article{arxiv.1109.3495,
title = {The Cohomological Equation and Invariant Distributions for Horocycle Maps},
author = {James Tanis},
journal= {arXiv preprint arXiv:1109.3495},
year = {2019}
}
Comments
44 pages