Vector-valued multifractal measures

Kenneth J. Falconer and Toby O'Neil

Appeared in The Proceedings of the Royal Society, Series A, June 1996.


We propose a framework for vector-valued measures which permits vector analogues of the singular measures which arise in multifractal theory. We obtain some of their properties and calculate the multifractal spectrum and \(p\)th moments for certain self-similar vector-valued measures.


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Created:13 August 1996
Modified:12 November 2012