New examples of pairs of noncommuting automorphisms reveal divergent ergodic averages.
Austin and independently Huang, Shao, and Ye found examples of pairs of noncommuting automorphisms with divergent 2-fold ergodic averages. In the present paper, new examples are given among Gaussian and Poisson suspensions for specially chosen transformations with invariant sigma-finite measure.
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V. Ryzhikov (2026) studied this question.
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