Relative multifractal analysis |
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| Institution: | 1. College of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai, China;2. China Economics and Management Academy, Central University of Finance and Economics, Beijing, China;1. College of Economics and Management, Shanghai Maritime University, Shanghai, China;2. China Economics and Management Academy, Central University of Finance and Economics, Beijing, China;1. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thrung Khru, Bangkok 10140, Thailand;2. Department of Mathematics, Faculty of Science, University of Jaén, Campus Las Lagunillas, s/n, 23071 Jaén, Spain;3. Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of North Bangkok (KMUTNB), 1518, Pracharat 1 Road, Wongsawang, Bangsue, Bangkok, 10800, Thailand;4. China Medical University, No. 91, Hsueh-Shih Road, Taichung, Taiwan;5. Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand |
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| Abstract: | We introduce a general formalism for the multifractal analysis of one probability measure with respect to another. As an example, we analyse the multifractal structure of one graph directed self-conformal measure with respect to another. |
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