Rank-one flows of transformations with infinite ergodic index

Abstract

A rank-one infinite measure preserving flow $T=(T_t{)}_{t\in \mathbb{R}}$ is constructed such that for each $t\ne 0$, the Cartesian powers of the transformation $T_t$ are all ergodic.

References in corpus (1)

• Mixing constructions with infinite invariant measure and spectral multiplicities