On the statistical stability of Lorenz attractors with a $C^{1+\alpha }$ stable foliation

Abstract

We prove statistical stability for a family of Lorenz attractors with a $C^{1+\alpha }$ stable foliation.

arXiv commentTo appear in ETDS. The part on the variance stability from the older version has been removed. It will be written as a separate paper where the class of observables will be natural and the result will be definitive