Decay of correlations for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations and the central limit theorem for the Teichmüller flow on the moduli space of Abelian differentials
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Publication:5469248
DOI10.1090/S0894-0347-06-00528-5zbMath1100.37002arXivmath/0506222OpenAlexW1752786328MaRDI QIDQ5469248
Publication date: 17 May 2006
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0506222
Central limit and other weak theorems (60F05) Measure-preserving transformations (28D05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Ergodicity, mixing, rates of mixing (37A25) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Dynamical systems involving maps of the interval (37E05) Renormalization of holomorphic dynamical systems (37F25)
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