Rank-one flows of transformations with infinite ergodic index

Danilenko, Alexandre; Park, Kyewon

doi:10.1090/S0002-9939-2010-10460-4

Rank-one flows of transformations with infinite ergodic index
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by Alexandre I. Danilenko and Kyewon K. Park PDF

Proc. Amer. Math. Soc. 139 (2011), 201-207 Request permission

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.

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