Weak mixing for compact Lie extensions of interval exchange transformations
Dynamical Systems
2019-10-09 v1
Abstract
We prove that for any compact connected Lie group G and a typical interval exchange transformation T, not isomorphic to a rotation, the skew product of T with a typical G-valued function, constant on the intervals, is weakly mixing.
Keywords
Cite
@article{arxiv.1910.03015,
title = {Weak mixing for compact Lie extensions of interval exchange transformations},
author = {Dmitri Scheglov},
journal= {arXiv preprint arXiv:1910.03015},
year = {2019}
}
Comments
11 pages