Singularity spectrum for recurrent IFS attractors

DOI10.1088/0951-7715/6/2/010zbMath0791.28004OpenAlexW1995942095MaRDI QIDQ4037659

Jeffrey S. Geronimo, James F. King

Publication date: 16 May 1993

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/6/2/010

zbMATH Keywords

Gibbs measuressingularity spectrummixed self-similar setsrecurrent IFS attractor

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Ergodic theory (37A99)

Related Items (10)

Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages. IV: Divergence points and packing dimension ⋮ Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages. II: non-linearity, divergence points and Banach space valued spectra ⋮ A multifractal formalism for Hewitt-Stromberg measures ⋮ A statistical mechanics approach for a rigidity problem ⋮ Self-conformal multifractal measures ⋮ The Morse-Sard theorem in \(W^{n,n} (\Omega)\): A simple proof ⋮ Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages. ⋮ Multifractal dimensions of product measures ⋮ Super-exponential convergence of Gibbs states in iterated schemes lattice models ⋮ HIGHER BLOCK IFS 1: MEMORY REDUCTION AND DIMENSION COMPUTATIONS

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