论文标题

Thomae的功能和Ergodic措施的空间

Thomae's function and the space of ergodic measures

论文作者

Gorodetski, Anton, Luna, Alexandro

论文摘要

我们研究地图$$ f:\ mathbb {t}^2 \ to \ mathbb {t}^2,\ f(x,y)=(x,x,\ x+y)(\ text {mod} \,1),$和表明其结构与Thomae的结构相似。

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.

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