Further Developments in Fractals and Related Fields

Mathematical Foundations and Connections

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March 28, 2025 | History

Further Developments in Fractals and Related Fields

Mathematical Foundations and Connections

This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications. The chapters cover fields related to fractals such as:geometric measure theoryergodic theorydynamical systemsharmonic and functional analysisnumber theoryprobability theoryFurther Developments in Fractals and Related Fields is aimed at pure and applied mathematicians working in the above-mentioned areas as well as other researchers interested in discovering the fractal domain. Throughout the volume, readers will find interesting and motivating results as well as new avenues for further research.

Publish Date
Language
English
Pages
288

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Edition Availability
Cover of: Further Developments in Fractals and Related Fields
Cover of: Further Developments in Fractals and Related Fields
Further Developments in Fractals and Related Fields: Mathematical Foundations and Connections
2013, Birkhäuser Boston, Imprint: Birkhäuser
electronic resource : in English

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Book Details


Table of Contents

The Rauzy Gasket
On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
Hausdorff Dimension and Diophantine Approximation
Singular Integrals on Self-Similar Subsets of Metric Groups
Multivariate Davenport Series
Dimensions of Self-Affine Sets
The Multifractal Spectra of V-Statistics
Projections of Measures Invariant Under the Geodesic Flow
Multifractal Tubes
The Multiplicative Golden Mean Shift has Infinite Hausdorff Measure
The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures For Dynamically Semi-Regular Meromorphic Functions
Cookie-Cutter-Like Sets with Graph Directed Construction
Recent Developments on Fractal Properties of Gaussian Random Fields. .

Edition Notes

Published in
Boston
Series
Trends in Mathematics

Classifications

Dewey Decimal Class
516
Library of Congress
QA440-699, QA1-939

The Physical Object

Format
[electronic resource] :
Pagination
XIII, 288 p. 28 illus., 12 illus. in color.
Number of pages
288

Edition Identifiers

Open Library
OL27040444M
ISBN 13
9780817684006

Work Identifiers

Work ID
OL19851935W

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
March 28, 2025 Edited by ImportBot Redacting ocaids
December 27, 2021 Edited by ImportBot import existing book
June 30, 2019 Created by MARC Bot Imported from Internet Archive item record