Random Geometrically Graph Directed Self-Similar Multifractals

1. Auflage 1994
ISBN: 978-0-582-25381-0
Verlag: Chapman and Hall/CRC

Buch, Englisch, 262 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 503 g

Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series

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.

Zielgruppe

Professional

Autoren/Hrsg.

Olsen, Lars

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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

Über Autor(innen)

Olsen\, Lars