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• W3100873050 startingPage "2050025" @default.
• W3100873050 abstract "We study dynamical systems arising as time-dependent compositions of Pomeau-Manneville-type intermittent maps. We establish central limit theorems for appropriately scaled and centered Birkhoff-like partial sums, with estimates on the rate of convergence. For maps chosen from a certain parameter range, but without additional assumptions on how the maps vary with time, we obtain a self-norming CLT provided that the variances of the partial sums grow sufficiently fast. When the maps are chosen randomly according to a shift-invariant probability measure, we identify conditions under which the quenched CLT holds, assuming fiberwise centering. Finally, we show a multivariate CLT for intermittent quasi-static systems. Our approach is based on Stein’s method of normal approximation." @default.
• W3100873050 created "2020-11-23" @default.
• W3100873050 creator A5043251282 @default.
• W3100873050 creator A5057094509 @default.
• W3100873050 date "2019-10-18" @default.
• W3100873050 modified "2023-10-17" @default.
• W3100873050 title "Central limit theorems with a rate of convergence for time-dependent intermittent maps" @default.
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• W3100873050 doi "https://doi.org/10.1142/s0219493720500252" @default.
• W3100873050 hasPublicationYear "2019" @default.
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