Random Geometrically Graph Directed Self-Similar Multifractals
Seiten
2019
Chapman & Hall/CRC (Verlag)
978-0-367-44948-3 (ISBN)
Chapman & Hall/CRC (Verlag)
978-0-367-44948-3 (ISBN)
This book contains latest research on random results on random multifractals and the physical thermodynamical interpretation of these results. It presents a rigorous foundation for the multifractal structure of random geometrically graph directed self-similar measures developed by the author.
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.
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.
Olsen, Lars
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
| Erscheinungsdatum | 03.12.2019 |
|---|---|
| Reihe/Serie | Chapman & Hall/CRC Research Notes in Mathematics Series |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 453 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 0-367-44948-X / 036744948X |
| ISBN-13 | 978-0-367-44948-3 / 9780367449483 |
| Zustand | Neuware |
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