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• W2089312877 abstract "We consider random recursive fractals and prove fine results about their local behaviour. We show that for a class of random recursive fractals the usual multifractal spectrum is trivial in that all points have the same local dimension. However, by examining the local behaviour of the measure at typical points in the set, we establish the size of fine fluctuations in the measure. The results are proved using a large deviation principle for a class of general branching processes which extends the known large deviation estimates for the supercritical Galton-Watson process." @default.
• W2089312877 created "2016-06-24" @default.
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• W2089312877 date "2003-03-01" @default.
• W2089312877 modified "2023-09-27" @default.
• W2089312877 title "Thick and thin points for random recursive fractals" @default.
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• W2089312877 doi "https://doi.org/10.1239/aap/1046366108" @default.
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