Article ID Journal Published Year Pages File Type
1893657 Chaos, Solitons & Fractals 2008 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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The local dimension of Moran measures satisfying the strong separation condition
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