Partially Bounded Transformations have Trivial Centralizer
  We prove that for infinite rank-one transformations satisfying a property called "partial boundedness," the only commuting transformations are powers of the original transformation. This shows that a large class of infinite measure-preserving rank-one transformations with bounded cuts have trivial centralizers. We also characterize when partially bounded transformations are isomorphic to their inverse. 
Johann Gaebler, Alexander Kastner, Cesar E. Silva, Xiaoyu Xu, and   Zirui Zhou
math.DS