On $v$-positive type transformations in infinite measure
Volume 140 / 2015
Colloquium Mathematicum 140 (2015), 149-170
MSC: Primary 37A40.
DOI: 10.4064/cm140-2-1
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.
