Random Geometrically Graph Directed Self-Similar Multifractals: 1st Edition (Hardback) book cover

Random Geometrically Graph Directed Self-Similar Multifractals

1st Edition

By Lars Olsen

Chapman and Hall/CRC

248 pages

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Hardback: 9780582253810
pub: 1994-05-18
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Description

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.

Table of Contents

Introduction

Definitions and statements of results

Examples

Proofs of auxiliary results

The random variable Xu,q

The random multifractal construction measure Mu,q and the Qu,q measure

Proofs of main results

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations
SCI040000
SCIENCE / Mathematical Physics