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Self-similar and Self-affine Sets and Measures
About this Title
Balázs Bárány, Budapest University of Technology and Economics, Budapest, Hungary, Károly Simon, Budapest University of Technology and Economics, Budapest, Hungary and Boris Solomyak, Bar-Ilan University, Ramat Gan, Israel
Publication: Mathematical Surveys and Monographs
Publication Year:
2023; Volume 276
ISBNs: 978-1-4704-7046-3 (print); 978-1-4704-7550-5 (online)
DOI: https://doi.org/10.1090/surv/276
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- Elements of geometric measure theory
- General properties of self-similar sets and measures
- Separation properties for self-similar IFS
- Multifractal analysis for self-similar measures
- Transversality techniques for self-similar IFS
- Further properties of self-similar IFS with overlaps
- Fourier-analytic and number-theoretic methods
- Elements of ergodic theory
- Self-affine sets and measures
- Diagonally self-affine IFS
- Exact dimensionality and dimension conservation
- Local entropy averages and projections of self-affine sets and measures
- Nonlinear conformal iterated functions systems
- Some elements of linear algebras
- Some elements of measure theory
- Some elements of harmonic analysis
- Some acts about algebraic numbers
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