Alternating $N$-expansions

zbMath1497.11019arXiv2112.04275MaRDI QIDQ5095318

Niels Daniël Simon Langeveld, Karma Dajani

Publication date: 8 August 2022

Full work available at URL: https://arxiv.org/abs/2112.04275

zbMATH Keywords

dynamical system\(N\)-continued fraction expansionsDoeblin-Lenstra type theorem

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Relations between ergodic theory and number theory (37A44)

Cites Work

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• A generalization of continued fractions
• Ergodicity of \(N\)-continued fraction expansions
• Random \(N\)-continued fraction expansions
• On the construction of the natural extension of the Hurwitz complex continued fraction map
• On the \(r\)-continued fraction expansions of reals
• Shrinking the period lengths of continued fractions while still capturing convergents
• Invariant measures for continued fraction algorithms with finitely many digits
• Natural extensions and entropy ofα-continued fractions
• Ergodic properties of infinite measure-preserving interval maps with indifferent fixed points
• Dynamical behavior of alternate base expansions

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