Abstract
AbstractWe study rates of mixing for small random perturbations of one-dimensional Lorenz maps. Using a random tower construction, we prove that, for Hölder observables, the random system admits exponential rates of quenched correlation decay.
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering
Reference18 articles.
1. Alves JF, Bahsoun W, Ruziboev M. Almost sure rates of mixing for partially hyperbolic attractors, arXiv:1904.12844.
2. Alves JF, Soufi M. Statistical stability and limit laws for Rovella maps. Nonlinearity 2012;25:3527–3552.
3. Alves JF, Soufi M. M. Statistical stability of geometric Lorenz attractors. Fund Math 2014;224(3):219–231.
4. Araújo V, Pacífico MJ, Vol. 53. Three-dimensional flows. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics. Results in Mathematics and Related Areas. 3rd Series. Berlin: Springer; 2010.
5. Araújo V, Pacífico MJ, Pujals ER, Viana M. Singular-hyperbolic attractors are chaotic. Trans Amer Math Soc 2009;361(5):2431–2485.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献