Existence of \(L^q\)-dimension and entropy dimension of self-conformal measures on Riemannian manifolds

DOI10.1016/j.na.2023.113226OpenAlexW4321784440MaRDI QIDQ2693980

Sze-Man Ngai, Yang-yang Xu

Publication date: 24 March 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.02952

zbMATH Keywords

Riemannian manifoldfractalentropy dimensionself-conformal measure\(L^q\)-spectrum

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (1)

Separation conditions for iterated function systems with overlaps on Riemannian manifolds

Cites Work

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• Perelman's entropy and doubling property on Riemannian manifolds
• The infinite number of generalized dimensions of fractals and strange attractors
• Separation conditions for conformal iterated function systems
• Multifractal measures and a weak separation condition
• Self-conformal multifractal measures
• Coincidence of various dimensions associated with metrics and measures on metric spaces
• Lectures on analysis on metric spaces
• Generalized fractal dimensions: equivalences and basic properties.
• A multifractal formalism
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Existence of L^q dimensions and entropy dimension for self-conformal measures
• Local homogeneity and dimensions of measures
• A Panoramic View of Riemannian Geometry
• Generalized fractal dimensions on the negative axis for compactly supported measures
• Multifractal of self-conformal measures

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