Variance continuity for Lorenz flows

Annales Henri Poincaré 21 (2020) 1873-1892.

Wael Bahsoun, Ian Melbourne and Marks Ruziboev

Abstract

The classical Lorenz flow, and any flow which is close to it in the C^1+α-topology, satisfies a Central Limit Theorem (CLT). We prove that the variance in the CLT varies continuously for this family of flows.