Spatial limit theorem for interval exchange transformations
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Publication:5112486
zbMATH Open1460.37038arXiv1901.05570MaRDI QIDQ5112486
Publication date: 29 May 2020
Abstract: We prove a spatial limit theorem for generic interval exchange transformations (IETs): for a generic IET the normalized ergodic sums of a sufficiently regular (e.g., Lipschitz) function have the same asymptotic behavior of distributions as the behaviour of ergodic integrals for a generic translation flow on a flat surface, described by A. Bufetov.
Full work available at URL: https://arxiv.org/abs/1901.05570
Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving maps of the interval (37E05) Flows on surfaces (37E35)
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