Variance continuity for Lorenz flows

Abstract

The classical Lorenz flow, and any flow which is close to it in the $C^2$-topology, satisfies a Central Limit Theorem (CLT). We prove that the variance in the CLT varies continuously.

Final version. To appear in Annales Henri Poincaré

References in corpus (1)

• Existence and smoothness of the stable foliation for sectional hyperbolic attractors

Cited by in corpus (1)

• Fourier approximation of the statistical properties of Anosov maps on tori