Spatial limit theorem for interval exchange transformations
Dynamical Systems
2019-01-18 v1
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.
Keywords
Cite
@article{arxiv.1901.05570,
title = {Spatial limit theorem for interval exchange transformations},
author = {Alexey Klimenko},
journal= {arXiv preprint arXiv:1901.05570},
year = {2019}
}
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11 pages