-spectra of measures on planar non-conformal attractors

DOI10.1017/etds.2020.106zbMath1482.28010arXiv2005.09361OpenAlexW3095714587WikidataQ114119424 ScholiaQ114119424MaRDI QIDQ5156789

Lawrence D. Lee, Jonathan M. Fraser, Kenneth J. Falconer

Publication date: 12 October 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09361

zbMATH Keywords

self-affine measure\(L^q\)-spectrumnon-conformal attractormodified singular value functiongeneralized \(q\)-dimensions

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

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Cites Work

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• A class of self-affine sets and self-affine measures
• A multifractal formalism
• Dimensions of invariant sets of expanding maps
• Multifractal formalism for almost all self-affine measures
• Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure
• Existence of L^q dimensions and entropy dimension for self-conformal measures
• On the 𝐿^{𝑞}-spectrum of planar self-affine measures
• DIMENSIONS OF SELF-AFFINE FRACTALS AND MULTIFRACTALS GENERATED BY UPPER-TRIANGULAR MATRICES
• Generalized dimensions of measures on almost self-affine sets
• Generalized dimensions of measures on self-affine sets
• Bounded distortion and dimension for non-conformal repellers
• A dimension result arising from the $L^q$-spectrum of a measure
• Triangular Gatzouras–Lalley-type planar carpets with overlaps
• Subadditive pressure for triangular maps
• Subadditive Pressure for IFS with Triangular Maps