Infinite rank one actions and nonsingular Chacon transformations
نویسندگان
چکیده
منابع مشابه
Rank One Power Weakly Mixing Nonsingular Transformations
We show that Chacon's nonsingular type III transformation T , 0 < 1, is power weakly mixing, i.e., for all sequences of nonzero integers fk1; : : : ; krg, T k1 : : : T kr is ergodic. We then show that in in nite measure, this condition is not implied by in nite ergodic index (having all nite Cartesian products ergodic), and that in nite ergodic index does not imply 2-recurrence.
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2004
ISSN: 0019-2082
DOI: 10.1215/ijm/1258131052