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Mixed self-conformal multifractal measures

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Analysis in Theory and Applications

Abstract

Mixed multifractal analysis studies the simultaneous scaling behavior of finitely many measures. A self-conformal measure is a measure invariant under a set of conformal mappings. In this paper, we provide a description of the mixed multifractal theory of finitely many self-conformal measures.

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Authors and Affiliations

  1. Nonlinear Scientific Research Center, Faculty of Science Jiangsu University, Jiangsu, Zhenjiang, 212013, P. R. China

    Meifeng Dai

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  1. Meifeng Dai
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Correspondence to Meifeng Dai.

Additional information

Supported by the National Science Foundation of China (10671180), the Education Foundation of Jiangsu Province (08KJB110003) and Jiangsu University (05JDG041).

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Dai, M. Mixed self-conformal multifractal measures. Anal. Theory Appl. 25, 154–165 (2009). https://doi.org/10.1007/s10496-009-0154-4

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  • DOI: https://doi.org/10.1007/s10496-009-0154-4

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