Random Geometrically Graph Directed Self-Similar Multifractals

by Lars Olsen

Overview

Multifractal theory was introduced by theoretical physicists in 1986. Since then, multifractals have increasingly been studied by mathematicians. This new work presents the latest research on random results on random multifractals and the physical thermodynamical interpretation of these results. As the amount of work in this area increases, Lars Olsen presents a unifying approach to current multifractal theory. Featuring high quality, original research material, this important new book fills a gap in the current literature available, providing a rigorous mathematical treatment of multifractal measures.

Product Details

ISBN-13:	9780367449483
Publisher:	CRC Press
Publication date:	12/02/2019
Series:	Chapman & Hall/CRC Research Notes in Mathematics Series
Pages:	262
Product dimensions:	7.00(w) x 10.00(h) x (d)

Table of Contents

1. Introduction 2. Definitions and Statements of Results 3. Examples 4. Proofs of Auxiliary Results 5. The Random Variable Xu,q 6. The Random Multifractal Construction Measure Mu, q and the Qu, q Measure 7. Proofs of Main Results

Editorial Reviews

Applies some natural multifractal generalizations of the Hausdorff and packing measures to give a detailed analysis of the multifractal structure of random graph directed self-similar measures. Presents the latest research on random multifractals and the physical thermodynamical interpretation of these results, and a unifying approach to multifractal theory. Lacks an index. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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