Abelian Cocycles for Nonsingular Ergodic Transformations and the Genericity of Type III... Transformations.
J.R. Choksi, J.M. Hawkins (1987)
Monatshefte für Mathematik
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J.R. Choksi, J.M. Hawkins (1987)
Monatshefte für Mathematik
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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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