4 problems

Let $(M,\mu)$ be a space with a continuous $\sigma$-finite measure, and let $\operatorname{Gms}(M)$ be the group of nonsingular transformations of $M$. For spaces $(X,\xi)$ and…

For parameters $\alpha,\alpha'$, let $T_\alpha$ and $T_{\alpha'}$ be the continued-fraction transformations in the paper, viewed as systems on their respective $\sigma$-finite meas…

For $\alpha\in(0,1)$, let $(I_\alpha,\mathcal{B}_\alpha,\mu_\alpha,T_\alpha)$ be the measure-preserving continued-fraction system considered in the paper, and let…

Power weak mixing conjecture. Every high staircase transformation is power weakly mixing.