V. V. Ryzhikov, “Non-commuting automorphisms with non-convergent ergodic averages”, Algebra i Analiz, 36:6 (2024), 122

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Algebra i Analiz, 2024, Volume 36, Issue 6, Pages 122–128 (Mi aa1949)

Research Papers

Non-commuting automorphisms with non-convergent ergodic averages

V. V. Ryzhikov

Lomonosov Moscow State University

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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

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

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}

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https://www.mathnet.ru/eng/aa1949

https://www.mathnet.ru/eng/aa/v36/i6/p122

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	52
Full-text PDF :	7
References:	11
First page:	6

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