Abstract
We construct nonsingular Chacon transformations with $2$-cuts of type $\mathrm{III}_{\lambda}$, for every $0 \leq \lambda \leq 1$, and type $\mathrm{II}_{\infty}$ and show that their $2$-fold Cartesian product is ergodic.
Citation
Toshihiro Hamachi. Cesar E. Silva. "On nonsingular Chacon transformations." Illinois J. Math. 44 (4) 868 - 883, Winter 2000. https://doi.org/10.1215/ijm/1255984697
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