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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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 |
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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 |
_version_ |
1716790396166602752 |