2 papers
math.DS2023
Quenched decay of correlations for random contracting Lorenz maps
Andrew Larkin, Marks Ruziboev
In this work, we consider i.i.d. random perturbations of contracting Lorenz maps sufficiently close to a Rovella parameter. We prove that the quenched correlations of the random dy…
math.DS2021
Quenched decay of correlations for one dimensional random Lorenz maps
Andrew Larkin
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…