English

Quenched decay of correlations for one dimensional random Lorenz maps

Dynamical Systems 2021-11-29 v3

Abstract

We study rates of mixing for small random perturbations of one dimensional Lorenz maps. Using a random tower construction, we prove that, for Holder observables, the random system admits exponential rates of quenched correlation decay.

Keywords

Cite

@article{arxiv.2102.12875,
  title  = {Quenched decay of correlations for one dimensional random Lorenz maps},
  author = {Andrew Larkin},
  journal= {arXiv preprint arXiv:2102.12875},
  year   = {2021}
}