Self-similar and self-affine sets and measures /

Gespeichert in:
Weitere Titel:
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
Hauptverfasser:
Bárány, Balázs, Simon, Károly
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Providence, Rhode Island : American Mathematical Society, [2023]
Umfang:
1 online resource (pages cm.)
Mode of access : World Wide Web
Format Details:
Mode of access : World Wide Web
Bibliografie:
Includes bibliographical references and index.
Schriftenreihe:
Mathematical Surveys and Monographs,
Sekundärform:
Publikations­art: Electronic reproduction.
Verlag: Providence, Rhode Island :: American Mathematical Society.
Publikations­datum: 2023
ISBN:
9781470475505 (online)
ISSN:
2331-7159 ;
0076-5376
DOI:
10.1090/surv/276
Zugangseinschränkungen:
Access is restricted to licensed institutions
Schlagworte:
Self-similar processes.
Fractals.
Hausdorff measures.
Measure and integration > Classical measure theory > Fractals.
Measure and integration > Classical measure theory > Hausdorff and packing measures.
Measure and integration > Classical measure theory > Length, area, volume, other geometric measure theory.
Dynamical systems and ergodic theory > Dynamical systems with hyperbolic behavior > Thermodynamic formalism, variational principles, equilibrium states.
Harmonic analysis on Euclidean spaces > Harmonic analysis in one variable > Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type.
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