Historically discrete multiplicative cascade models have been developed to mimic some of the characteristics of fully-developed turbulence. Some of these models have been found to be of much more general relevancy and have been used to simulate and analyse many different kinds of simple geophysical and other scaling fields. The desire to describe more complex processes has led to the invention of multivariate multiplicative cascade models. Of these the simple "complex cascade model" is considered in detail in this thesis. The background theory of Levy random variables and discrete scalar cascades is covered and a description of the various existing analysis techniques is provided. Two analysis techniques are described and tested on complex cascade simulations. The new "adjacent data points" (ADP) method is found to be superior to the traditional analysis technique. A discussion of the difficulties which may be encountered when analysing recorded complex data is included.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.29915 |
| Date | January 1999 |
| Creators | Nowak, R. W. (Robert Walter) |
| Contributors | Lovejoy, S. (advisor) |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Master of Science (Department of Physics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 001737858, proquestno: MQ55082, Theses scanned by UMI/ProQuest. |
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