Weak Closure of Infinite Actions of Rank 1, Joinings, and Spectrum
Author:
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1134/S0001434619110312.pdf
Reference12 articles.
1. D. Rudolph, “An example of measure-preserving map with minimal self-joinings and applications,” J. AnalyseMath. 35 (1), 97–122 (1979).
2. V. V. Ryzhikov, “Weak limits of powers, simple spectrum of symmetric products, and rank-one mixing constructions,” Mat. Sb. 198 (5), 137–159 (2007) [Sb.Math. 198 (5), 733-754 (2007)].
3. J. King, “The commutant is a weak closure of the powers, for rank-1 transformations,” Ergodic Theory Dynam. Systems 6 (3), 363–384 (1986).
4. V. V. Ryzhikov and J.-P. Thouvenot, “On the centralizer of an infinite mixing rank-one transformation,” Funktsional. Anal. Prilozhen. 49 (3), 88–91 (2015) [Functional Anal. Appl. 49 (3), 230–233 (2015)].
5. I. V. Klimov and V. V. Ryzhikov, “Minimal self-joinings of infinite mixing actions of rank 1,” Mat. Zametki 102 (6), 851–856 (2017) [Math. Notes 102 (6), 787–791 (2017)].
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