Polynomial decay of correlations for nonpositively curved surfaces
Dynamical Systems
2024-07-26 v2 Differential Geometry
Abstract
We prove polynomial decay of correlations for geodesic flows on a class of nonpositively curved surfaces where zero curvature only occurs along one closed geodesic. We also prove that various statistical limit laws, including the central limit theorem, are satisfied by this class of geodesic flows.
Keywords
Cite
@article{arxiv.2107.11805,
title = {Polynomial decay of correlations for nonpositively curved surfaces},
author = {Yuri Lima and Carlos Matheus and Ian Melbourne},
journal= {arXiv preprint arXiv:2107.11805},
year = {2024}
}
Comments
52 pages, 9 figures. Added an appendix and fixed some typos