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Algebra i Analiz, 2024, Volume 36, Issue 6, Pages 122–128 (Mi aa1949)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Non-commuting automorphisms with non-convergent ergodic averages

V. V. Ryzhikov

Lomonosov Moscow State University
Full-text PDF (282 kB) First page Citations (2) English version article
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Abstract: Austin and independently Huang, Shao, and Ye found examples of pairs of non-commuting automorphisms with non-convergent 2-fold ergodic averages. We propose new examples among Gaussian and Poisson suspensions over specially chosen transformations with invariant sigma-finite measure.
Keywords:   non-convergence of ergodic averages, rank-one transformations, Gaussian and Poisson suspensions, zero entropy.
Received: 02.08.2024
English version:
St. Petersburg Mathematical Journal, 2025, Volume 36, Issue 6, Pages 855–859
DOI: https://doi.org/10.1090/spmj/1889
Document Type: Article
Language: Russian
Citation: V. V. Ryzhikov, “Non-commuting automorphisms with non-convergent ergodic averages”, Algebra i Analiz, 36:6 (2024), 122–128; St. Petersburg Math. J., 36:6 (2025), 855–859
Citation in format AMSBIB
\Bibitem{Ryz24}
\by V.~V.~Ryzhikov
\paper Non-commuting automorphisms with non-convergent ergodic averages
\jour Algebra i Analiz
\yr 2024
\vol 36
\issue 6
\pages 122--128
\mathnet{http://mi.mathnet.ru/aa1949}
\transl
\jour St. Petersburg Math. J.
\yr 2025
\vol 36
\issue 6
\pages 855--859
\crossref{https://doi.org/10.1090/spmj/1889}
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