5 problems

Let $(X,T)$ be a Toeplitz flow with period structure $(p_k)$, and let $(X,S)$ be a bounded speedup of $(X,T)$ with orbit number $c$. For the Kakutani–Rokhlin partition…

Let $(X,T)$ be a Toeplitz flow with period structure $(p_k)$, and let $c$ be a positive integer. A minimal speedup with orbit number $c$ means a minimal bounded speedup $(X,S)$ of…

Let $\theta$ be a constant-length left proper substitution and let $c>1$ satisfy $\gcd(c,|\theta|)=1$. If $l$ is a factor of $c$ with $1\leq l<c$, then $(X_\theta,T^l)$ and…

Let $(X,T)$ be a Toeplitz flow and let $(X,S)$ be a minimal bounded speedup, with $S(x)=T^{p(x)}(x)$. Suppose a Kakutani–Rokhlin partition has a common cyclic orbit permutation and…

Let $(X,T)$ be a Toeplitz flow, meaning a symbolic, minimal, almost one-to-one extension of an odometer, and let $(X,S)$ be its minimal bounded speedup, where $S(x)=T^{p(x)}(x)$ fo…