On the ergodic theory of maps associated with the nearest integer complex continued fractions over imaginary quadratic fields

DOI10.3934/dcds.2023071OpenAlexW4383212581MaRDI QIDQ6077268

Hiromi Ei, Hitoshi Nakada, Rie Natsui

Publication date: 17 October 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2023071

zbMATH Keywords

imaginary quadratic fieldshyperbolic structureergodic theorynatural extensioncomplex continued fractions

Mathematics Subject Classification ID

Metric theory of continued fractions (11K50) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Relations between ergodic theory and number theory (37A44)

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