arXiv subjects

Andrew Larkin

Publications and source records attributed to Andrew Larkin.

2 recordsLinked to original sources

arXiv2023

Quenched decay of correlations for random contracting Lorenz maps

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 dynamical system decay exponentially.

math.DS↗

arXiv2021

Quenched decay of correlations for one dimensional random Lorenz maps

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.

math.DS↗