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arXiv:2206.13794 [math.DS]AbstractReferencesReviewsResources

Thomae's function and the space of ergodic measures

Anton Gorodetski, Alexandro Luna

Published 2022-06-28Version 1

We study the space of ergodic measures of the map $$f:\mathbb{T}^2\to \mathbb{T}^2, \ f(x, y)=(x, \ x+y)(\text{mod}\, 1),$$ and show that its structure is similar to the graph of Thomae's function.

Comments: 6 pages, 2 figures
Categories: math.DS
Subjects: 37E99
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