3 problems

Let $T_\mu$ and $T_\nu$ be symmetric tent maps with $\frac{1}{2}<\mu<\nu\leq 1$, and let $h_\mu$ and $h_\nu$ be their commuter functions. Monotonicity conjecture. … Consequently, t…

Shortest forbidden-pattern conjecture. The shortest $\mu$-forbidden pattern is of the form $\sigma_n$. Equivalently, if $n$ is the length of the shortest $\mu$-forbidden pattern, t…

Let $T:[0,1]\rightarrow[0,1]$ be a tent map with shadowing. A set $L\binom{}{}$?