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• W2018336275 abstract "We investigate limit theorems for Birkhoff sums of locally Hölder 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.
• W2018336275 created "2016-06-24" @default.
• W2018336275 creator A5033190149 @default.
• W2018336275 date "2010-10-31" @default.
• W2018336275 modified "2023-10-12" @default.
• W2018336275 title "Characterization of weak convergence of Birkhoff sums for Gibbs-Markov maps" @default.
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• W2018336275 doi "https://doi.org/10.1007/s11856-010-0092-z" @default.
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