Towards coherent estimation of correlation dimension

DOI10.1016/j.physleta.2003.09.023zbMath1039.37016OpenAlexW1965288840MaRDI QIDQ1411840

D. Massart

Publication date: 2 November 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.09.023

zbMATH Keywords

scaling exponentsHénon attractormacroscopic fractal-set structure

Mathematics Subject Classification ID

Dimension theory of smooth dynamical systems (37C45)

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Cites Work

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• An improved estimator of dimension and some comments on providing confidence intervals
• Consistency of the Takens estimator for the correlation dimension
• Estimating dimension from small samples
• An improved Bonferroni procedure for multiple tests of significance