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• W2140159428 abstract "In the setting of abstract Markov maps, we prove results concerning the convergence of renormalized Birkhoff sums to normal laws or stable laws. They apply to one-dimensional maps with a neutral fixed point at 0 of the form x+x 1+α , for α∈(0, 1). In particular, for α>1/2, we show that the Birkhoff sums of a Hölder observable f converge to a normal law or a stable law, depending on whether f(0)=0 or f(0)≠0. The proof uses spectral techniques introduced by Sarig, and Wiener’s Lemma in non-commutative Banach algebras." @default.
• W2140159428 created "2016-06-24" @default.
• W2140159428 creator A5033190149 @default.
• W2140159428 date "2003-11-04" @default.
• W2140159428 modified "2023-10-16" @default.
• W2140159428 title "Central limit theorem and stable laws for intermittent maps" @default.
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• W2140159428 doi "https://doi.org/10.1007/s00440-003-0300-4" @default.
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