Mixing and ergodicity of compositions of inner functions

Gustavo R. Ferreira; Artur Nicolau

doi:10.3934/dcds.2024157

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2025, Volume 45, Issue 7: 2066-2080. Doi: 10.3934/dcds.2024157

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Mixing and ergodicity of compositions of inner functions

Gustavo R. Ferreira^1, , and
Artur Nicolau^{1, 2,}

1.
Centre de Recerca Matemàtica, Barcelona, Spain
2.
Universitat Autònoma de Barcelona, Barcelona, Spain

^*Corresponding author: Gustavo R. Ferreira
^*Corresponding author: Gustavo R. Ferreira

Received: June 2024

Early access: November 22, 2024

Published online: November 22, 2024

The second author is supported in part by the Generalitat de Catalunya (grant 2021 SGR 00071) and the Spanish Ministerio de Ciencia e Innovación (project PID2021-123151NB-I00). Both authors acknowledge financial support from the Spanish Research Agency through the María de Maeztu Program (CEX2020-001084-M).

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Abstract

We study ergodic and mixing properties of non-autonomous dynamics on the unit circle generated by inner functions fixing the origin.

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Mathematics Subject Classification: Primary: 37A25; Secondary: 30J05, 37E10.

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References

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