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arXiv:2010.04636 [math.DS]AbstractReferencesReviewsResources

Some factors of nonsingular Bernoulli shifts

Zemer Kosloff, Terry Soo

Published 2020-10-09Version 1

We give examples of elementary factors of nonsingular Bernoulli shifts. In particular, we show that some examples of type-III:1 Bernoulli shifts on two symbols have a factor that is equivalent to an independent and identically distributed system. We also prove that there are type-III:1 Bernoulli shifts of every possible ergodic index, answering a question of Danilenko and Lemanczyk (Ergodic Theory Dyanam. Systems, 39(12):3292-3321, 2019).

Comments: 25 pages
Categories: math.DS, math.PR
Subjects: 37A40, 37A20, 37A35
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