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Khinchin theorem for interval exchange transformations

ContributorsMarchese, Luca
Publication date2010
Abstract

We define a diophantine condition for interval exchange transformations (i.e.t.). When the number of intervals is two, that is for rotations on the circle, our condition coincides with the one in the classical Khinchin theorem, modulo the identification of a rotation with its rotation number. We prove that for i.e.t.s we have the same dichotomy of Khinchin theorem.

Classification
  • arxiv : math.DS
Note49 pages
Citation (ISO format)
MARCHESE, Luca. Khinchin theorem for interval exchange transformations. 2010.
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Creation09/24/2010 2:38:00 PM
First validation09/24/2010 2:38:00 PM
Update time03/14/2023 4:06:45 PM
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