THE STABILITY OF HAUSDORFF DIMENSION FOR THE LEVEL SETS UNDER THE PERTURBATION OF CONFORMAL REPELLERS

DOI10.11948/2156-907X.20180349zbMath1465.37037OpenAlexW2947938404MaRDI QIDQ5859390

Lan Xu

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2156-907x.20180349

zbMATH Keywords

Hausdorff dimensionmultifractal analysistopological pressureconformal repellers

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• Unnamed Item
• Ergodic limits on the conformal repellers
• Localized asymptotic behavior for almost additive potentials
• Almost additive multifractal analysis
• A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions
• Higher-dimensional multifractal analysis
• Variational principles and mixed multifractal spectra
• Dimension spectrum of asymptotically additive potentials forC¹average conformal repellers

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