ABSTRACT

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.

chapter 1|16 pages

Introduction

chapter 2|49 pages

Definitions and Statements of Results

chapter 3|32 pages

Examples

chapter 4|40 pages

Proofs of Auxiliary Results

chapter 5|20 pages

The Random Variable X u,q

chapter 7|62 pages

Proofs of Main Results