IPr* recurrence and nilsystems
We prove that nilsystems possess the IPr*-recurrence property and, moreover, are characterized by this property.
math.DS↗
arXiv subjects
Publications and source records attributed to A. Leibman.
We prove that nilsystems possess the IPr*-recurrence property and, moreover, are characterized by this property.
We introduce methods that allow to derive continuous-time versions of various discrete-time ergodic theorems. We then illustrate these methods by giving simple proofs and refinements of some known results as well as establishing new results of interest.