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Dual mixing and quasi-mixing of inner function restrictions
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 restrictions of normalised, parabolic, non-Möbius inner functions of the upper half plane preserve Lebesgue measure and are dual quasi mixing; such a restriction being dual mixing iff it is exact and singular dual quasi-mixing otherwise.
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BibTeX
@misc{aaronson2026dual,
title = {{Dual mixing and quasi-mixing of inner function restrictions}},
author = {Jon Aaronson},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.00217},
eprint = {2609.00217},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.00217},
}
RIS
TY - UNPB
TI - Dual mixing and quasi-mixing of inner function restrictions
AU - Jon Aaronson
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.00217
UR - https://arxiv.org/abs/2609.00217
AB - 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 restrictions of normalised, parabolic, non-Möbius inner functions of the upper half plane preserve Lebesgue measure and are dual quasi mixing; such a restriction being dual mixing iff it is exact and singular dual quasi-mixing otherwise.
ER -