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arXiv · 1309.6257

On $v$-Positive Type Transformations in Infinite Measure

Tudor Pădurariu·Cesar E. Silva·Evangelie Zachos
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Abstract

For each vector $v$ we define the notion of a $v$-positive type for infinite measure-preserving transformations, a refinement of positive type as introduced by Hajian and Kakutani. We prove that a positive type transformation need not be $(1,2)$-positive type. We study this notion in the context of Markov shifts and multiple recurrence and give several examples.

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Tudor Pădurariu, Cesar E. Silva, Evangelie Zachos. 2013-10-10. On $v$-Positive Type Transformations in Infinite Measure. https://arxiv.org/abs/1309.6257

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