Rank-one flows of transformations with infinite ergodic index

2009/10/15 by Alexandre I. Danilenko, Danilenko, Alexandre I., Kyewon K. Park +1
Mathematics · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0910.2856

Abstract

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

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