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
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.