-SPECTRUM OF SELF-SIMILAR MEASURES WITH OVERLAPS IN THE ABSENCE OF SECOND-ORDER IDENTITIES
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Publication:4645826
DOI10.1017/S1446788718000034zbMath1408.28015OpenAlexW2888058805MaRDI QIDQ4645826
Publication date: 11 January 2019
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446788718000034
iterated function systemfractalmultifractal formalismself-similar measure\(L^q\)-spectrumessentially of finite type
Related Items (10)
Matrix representations for some self-similar measures on \(\mathbb{R}^d\) ⋮ Approximation order of Kolmogorov diameters via \(L^q\)-spectra and applications to polyharmonic operators ⋮ Schrödinger equations defined by a class of self-similar measures ⋮ Eigenvalues and eigenfunctions of one-dimensional fractal Laplacians ⋮ Strong damping wave equations defined by a class of self-similar measures with overlaps ⋮ Quantization dimensions of compactly supported probability measures via Rényi dimensions ⋮ Asymptotics of the quantization errors for some Markov-type measures with complete overlaps ⋮ Multiple codings of self-similar sets with overlaps ⋮ HEAT EQUATIONS DEFINED BY SELF-SIMILAR MEASURES WITH OVERLAPS ⋮ Spectral dimensions of Kreĭn-Feller operators and \(L^q\)-spectra
Cites Work
- Unnamed Item
- Unnamed Item
- Multifractal formalism for self-similar measures with weak separation condition
- General finite type IFS and \(M\)-matrix
- Some exceptional phenomena in multifractal formalism. I
- A generalized finite type condition for iterated function systems
- Multifractal decompositions of Moran fractals
- Multifractal measures and a weak separation condition
- Estimates for the lower and the upper dimension of a measure
- Spectral asymptotics of one-dimensional fractal Laplacians in the absence of second-order identities
- Fractal measures and mean \(p\)-variations
- A multifractal formalism
- 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
- Second-order self-similar identities and multifractal decompositions
- Spectral Asymptotics of Laplacians Associated with One-dimensional Iterated Function Systems with Overlaps
- HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS
- Fractal measures and their singularities: The characterization of strange sets
- Multifractal Decompositions of Digraph Recursive Fractals
- A dimension result arising from the $L^q$-spectrum of a measure
- Multifractal analysis of weak Gibbs measures and phase transition—application to some Bernoulli convolutions
- Iterated function systems with a weak separation condition
- Vector-valued Choquet-Deny theorem, renewal equation and self-similar measures
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