Variance continuity for Lorenz flows
Dynamical Systems
2021-06-09 v2 Mathematical Physics
math.MP
Abstract
The classical Lorenz flow, and any flow which is close to it in the -topology, satisfies a Central Limit Theorem (CLT). We prove that the variance in the CLT varies continuously.
Keywords
Cite
@article{arxiv.1812.08998,
title = {Variance continuity for Lorenz flows},
author = {Wael Bahsoun and Ian Melbourne and Marks Ruziboev},
journal= {arXiv preprint arXiv:1812.08998},
year = {2021}
}
Comments
Final version. To appear in Annales Henri Poincar\'e