Ledrappier-Young formulae for a family of nonlinear attractors

DOI10.1007/S00209-021-02876-7zbMath1496.28007arXiv2012.03314OpenAlexW3202205705MaRDI QIDQ2114150

Lawrence D. Lee, Natalia Jurga

Publication date: 15 March 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03314

zbMATH Keywords

exact dimensionalLedrappier-Young formulanon-conformal attractorquasi-Bernoulli measure

Mathematics Subject Classification ID

Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

Dimension estimates for iterated function systems and repellers. Part II

Cites Work

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• Ledrappier-Young formula and exact dimensionality of self-affine measures
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• Dimension theory of iterated function systems
• -spectra of measures on planar non-conformal attractors

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