On the ergodicity of cylindrical transformations given by the logarithm

Bassam Fayad, Mariusz Lemańczyk

Given $\a \in [0,1]$ and $φ: \T \to \R$ measurable, the {\it cylindircal cascade} $S_{\a,φ}$ is the map from $\T \times \R$ to itself given by $S_{\a,φ} (x,y) = (x+\a,y+φ(x))$ that…