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arXiv · 2609.00217

Dual mixing and quasi-mixing of inner function restrictions

Jon Aaronson
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Abstract

Dual quasi-mixing and dual mixing of a measure preserving transformation are uniform individual ratio limit properties of the transfer operator which entail the quasi-mixing and mixing properties of Krickeberg (respectively). The real restriction of a normalised, parabolic inner function of the upper half plane preserves Lebesgue measure and is dual mixing iff it is exact. Certain other restrictions are ``singular'' dual quasi-mixing.

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Jon Aaronson. 2026-08-31. Dual mixing and quasi-mixing of inner function restrictions. https://arxiv.org/abs/2609.00217

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