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• W2953296936 abstract "We investigate limit theorems for Birkhoff sums of locally Holder functions under the iteration of Gibbs-Markov maps. Aaronson and Denker have given sufficient conditions to have limit theorems in this setting. We show that these conditions are also necessary: there is no exotic limit theorem for Gibbs-Markov maps. Our proofs, valid under very weak regularity assumptions, involve weak perturbation theory and interpolation spaces. For L^2 observables, we also obtain necessary and sufficient conditions to control the speed of convergence in the central limit theorem." @default.
• W2953296936 created "2019-06-27" @default.
• W2953296936 creator A5033190149 @default.
• W2953296936 date "2008-09-03" @default.
• W2953296936 modified "2023-09-27" @default.
• W2953296936 title "Characterization of weak convergence of Birkhoff sums for Gibbs-Markov maps" @default.
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• W2953296936 hasPublicationYear "2008" @default.
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