Kosloff, Z;
Soo, T;
(2021)
Some factors of nonsingular Bernoulli shifts.
Studia Mathematica
, 262
(2022)
pp. 23-43.
10.4064/sm201013-7-4.
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Abstract
We give elementary constructions of factors of nonsingular Bernoulli shifts. In particular, we show that all nonsingular Bernoulli shifts on a finite number of symbols which satisfy the Doeblin condition 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 Dynam. Systems, 39(12):3292-3321, 2019).
| Type: | Article |
|---|---|
| Title: | Some factors of nonsingular Bernoulli shifts |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4064/sm201013-7-4 |
| Publisher version: | https://doi.org/10.4064/sm201013-7-4 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.//This version is online first version. |
| Keywords: | Krieger types, Bernoulli shifts, factors |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10125664 |
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