The local dimension of Moran measures satisfying the strong separation condition

Meifeng Dai and Dehua Liu

Chaos, Solitons & Fractals, 2008, vol. 38, issue 4, 1025-1030

Abstract: In this paper, we investigate the local dimension of measures on a class of Moran sets. The measure, called Moran measure, is an extension of the self-similar measure. We give the exact formulae of the local dimension and the Hausdorff dimension of the Moran measure satisfying the strong separation condition.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:4:p:1025-1030

DOI: 10.1016/j.chaos.2007.02.013

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