Thick and thin points for random recursive fractals

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 typ...

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Bibliographic Details
Main Authors: Hambly, B, Jones, O
Format: Journal article
Language:English
Published: 2003