On $v$-Positive Type Transformations in Infinite Measure
Dynamical Systems
2013-10-11 v2
Abstract
For each vector we define the notion of a -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 -positive type. We study this notion in the context of Markov shifts and multiple recurrence and give several examples.
Cite
@article{arxiv.1309.6257,
title = {On $v$-Positive Type Transformations in Infinite Measure},
author = {Tudor Pădurariu and Cesar E. Silva and Evangelie Zachos},
journal= {arXiv preprint arXiv:1309.6257},
year = {2013}
}