English

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

Dynamical Systems 2018-03-09 v4

Abstract

We prove statistical stability for a family of Lorenz attractors with a C1+αC^{1+\alpha} stable foliation.

Keywords

Cite

@article{arxiv.1701.08601,
  title  = {On the statistical stability of Lorenz attractors with a $C^{1+\alpha}$ stable foliation},
  author = {Wael Bahsoun and Marks Ruziboev},
  journal= {arXiv preprint arXiv:1701.08601},
  year   = {2018}
}

Comments

To 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