Multifractal specra for measures on the boundary of a Galton-Watson tree

Multifractal specra for measures on the boundary of a Galton-Watson tree

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...

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Main Author: Kinnison, Adam Lester
Published: University of Bath 2009
Subjects:
519.282
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.500714
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spelling ndltd-bl.uk-oai-ethos.bl.uk-5007142015-03-20T05:21:15ZMultifractal specra for measures on the boundary of a Galton-Watson treeKinnison, Adam Lester2009Multifractal 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.519.282University of Bathhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.500714Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 519.282
spellingShingle 519.282
Kinnison, Adam Lester
Multifractal specra for measures on the boundary of a Galton-Watson tree
description 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.
author Kinnison, Adam Lester
author_facet Kinnison, Adam Lester
author_sort Kinnison, Adam Lester
title Multifractal specra for measures on the boundary of a Galton-Watson tree
title_short Multifractal specra for measures on the boundary of a Galton-Watson tree
title_full Multifractal specra for measures on the boundary of a Galton-Watson tree
title_fullStr Multifractal specra for measures on the boundary of a Galton-Watson tree
title_full_unstemmed Multifractal specra for measures on the boundary of a Galton-Watson tree
title_sort multifractal specra for measures on the boundary of a galton-watson tree
publisher University of Bath
publishDate 2009
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.500714
work_keys_str_mv AT kinnisonadamlester multifractalspecraformeasuresontheboundaryofagaltonwatsontree
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