Thick hyperbolic repelling invariant Cantor set and wild attractor

Yiming Ding, Jianrong Xiao

Let $D$ be the set of $\beta \in (1,2]$ such that $f_{\beta }$ is a symmetric tent map with finite critical orbit. For $\beta \in D$, by operating Denjoy like surgery on $f_{\beta }$, we constructed a $C…