On v-positive type transformations in infinite measure

Tudor Pădurariu, Cesar E. Silva, and Evangelie Zachos. "On v-positive type transformations in infinite measure." Colloquium Mathematicae 140.2 (2015): 149-170. <http://eudml.org/doc/283478>.

@article{TudorPădurariu2015,
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.},
author = {Tudor Pădurariu, Cesar E. Silva, Evangelie Zachos},
journal = {Colloquium Mathematicae},
keywords = {infinite measure-preserving; ergodic; positive type; rank-one},
language = {eng},
number = {2},
pages = {149-170},
title = {On v-positive type transformations in infinite measure},
url = {http://eudml.org/doc/283478},
volume = {140},
year = {2015},
}

TY - JOUR
AU - Tudor Pădurariu
AU - Cesar E. Silva
AU - Evangelie Zachos
TI - On v-positive type transformations in infinite measure
JO - Colloquium Mathematicae
PY - 2015
VL - 140
IS - 2
SP - 149
EP - 170
AB - 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.
LA - eng
KW - infinite measure-preserving; ergodic; positive type; rank-one
UR - http://eudml.org/doc/283478
ER -