Derivatives of slippery Devil's staircases

DOI10.3934/dcdss.2017017zbMath1369.37029OpenAlexW2579756402MaRDI QIDQ504041

Jun-Jie Miao, Sara Munday

Publication date: 25 January 2017

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

Full work available at URL: https://doi.org/10.3934/dcdss.2017017

zbMATH Keywords

differentiabilityHausdorff dimensiontopological conjugacy

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs

Cites Work

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