Matrix representations for some self-similar measures on \(\mathbb{R}^d\)

DOI10.1007/S00209-022-03019-2OpenAlexW4221154387MaRDI QIDQ2152834

Yu-Feng Wu

Publication date: 11 July 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.01909

zbMATH Keywords

matrix representationsself-similar measures\(L^q\)-spectrumfinite type condition

Mathematics Subject Classification ID

Fractals (28A80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local dimensions of measures of finite type
• The pressure function for products of non-negative matrices.
• Multifractal formalism for self-similar measures with weak separation condition
• Multifractal decompositions of Moran fractals
• Multifractal measures and a weak separation condition
• \(L^q\)-spectrum of Bernoulli convolutions associated with P. V. numbers
• Spectral asymptotics of one-dimensional fractal Laplacians in the absence of second-order identities
• Local dimensions of measures of finite type III -- measures that are not equicontractive
• On Furstenberg's intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions
• A multifractal formalism
• Multifractal formalism for almost all self-affine measures
• On multifractal formalism for self-similar measures with overlaps
• Differentiability of \(L^{q}\)-spectrum and multifractal decomposition by using infinite graph-directed IFSs
• The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers
• Non-negative matrices and Markov chains.
• The \(L^q\)-spectrum for a class of self-similar measures with overlap
• Second-order self-similar identities and multifractal decompositions
• Existence of L^q dimensions and entropy dimension for self-conformal measures
• Iterated function systems of finite type and the weak separation property
• HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS
• Uniformity of Lyapunov exponents for non-invertible matrices
• SMOOTHNESS OF THE $L^{\lowercase{q}}$-SPECTRUM OF SELF-SIMILAR MEASURES WITH OVERLAPS
• Local Dimensions of Measures of Finite Type II: Measures Without Full Support and With Non-regular Probabilities
• -SPECTRUM OF SELF-SIMILAR MEASURES WITH OVERLAPS IN THE ABSENCE OF SECOND-ORDER IDENTITIES
• Real Analysis and Probability
• Golden gaskets: variations on the Sierpi ski sieve
• Gibbs properties of self-conformal measures and the multifractal formalism

This page was built for publication: Matrix representations for some self-similar measures on \(\mathbb{R}^d\)