- Abstract:
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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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- Publication date:
- 2003
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- URN:
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uuid:3d5d122e-6c32-48c5-ae80-68c095a7131b
- Local pid:
- td:602830790
- Language:
- English
- Subjects:
- Copyright holder:
- Jordan, Jonathan
- Copyright date:
- 2003
- Notes:
- This thesis was digitised thanks to the generosity of Dr Leonard Polonsky
Thesis
Renormalisation of random hierarchial systems
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