Spatial limit theorem for interval exchange transformations

Alexey Klimenko

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arXiv · 1901.05570

Spatial limit theorem for interval exchange transformations

Alexey Klimenko

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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.

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Alexey Klimenko. 2019-01-17. Spatial limit theorem for interval exchange transformations. https://arxiv.org/abs/1901.05570

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