2 problems

Metric conjugacy conjecture. Every ITM endowed with $\mu^*$ is metrically conjugated to an IEM, possibly with more than $n$ intervals. The conjugacy is expected to be continuous al…

Let $f$ be a generalized interval exchange map in the Katznelson–Ornstein class, with genus one and no connections, but without assuming $k$-bounded combinatorics. Let $R^n(f)$ be…