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Title: Multifractal specra for measures on the boundary of a Galton-Watson tree
Author: Kinnison, Adam Lester
ISNI:       0000 0004 2674 8252
Awarding Body: University of bath
Current Institution: University of Bath
Date of Award: 2009
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Multifractal spectra provide a way of encapsulating information about the nature of random measures living on the boundary of a Galton-Watson tree. In this thesis we investigate the ;tal spectrum for various harmonic measures. These are the hitting distributions of various random walks on the Galton-Watson tree. We use martingales and change of measure techniques for calculating Hausdorff dimension to establish the spectra. We also investigate a multifractal spectrum for the interaction between visibility measure and the branching measure.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available