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• W2953308191 abstract "We establish stability of random absolutely continuous invariant measures (acims) for cocycles of random Lasota-Yorke maps under a variety of perturbations. Our family of random maps need not be close to a fixed map; thus, our results can handle very general driving mechanisms. We consider (i) perturbations via convolutions, (ii) perturbations arising from finite-rank transfer operator approximation schemes and (iii) static perturbations, perturbing to a nearby cocycle of Lasota-Yorke maps. The former two results provide a rigorous framework for the numerical approximation of random acims using a Fourier-based approach and Ulam's method, respectively; we also demonstrate the efficacy of these schemes." @default.
• W2953308191 created "2019-06-27" @default.
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• W2953308191 date "2012-12-10" @default.
• W2953308191 modified "2023-09-27" @default.
• W2953308191 title "Stability and approximation of random invariant densities for Lasota-Yorke map cocycles" @default.
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