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arxiv: 0910.2856 · v1 · submitted 2009-10-15 · 🧮 math.DS

Rank-one flows of transformations with infinite ergodic index

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

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