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Thesis

Renormalisation of random hierarchial systems

Abstract:

This thesis considers a number of problems which are related to the study of random fractals. We define a class of iterations (which we call random hierarchical systems) of probability distributions, which are defined by applying a random map to a set of k independent and identically distributed random variables. Classical examples of this sort of iteration include the Strong Law of Large Numbers, Galton-Watson branching processes, and the construction of random self-sim...

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Institution:
University of Oxford
Department:
Mathematical and Physical Sciences Division
Role:
Author
Publication date:
2003
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Barcode:
602830790
URN:
uuid:3d5d122e-6c32-48c5-ae80-68c095a7131b
Local pid:
td:602830790
Language:
English
Subjects:

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