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Scaling Equation for Invariant Measure |
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| Authors: | LIU Shi-Kuo FU Zun-Tao LIU Shi-Da REN Kui |
| Institution: | 1. School of Physics, Peking University, Beijing 100871, China ;2. State Key Laboratory for Turbulence Complex System, Peking University, Beijing 100871, China |
| Abstract: | An iterated function system (IFS) is constructed. It is shown that the invariant measure of IFS satisfies the same equation as scaling equation for wavelet transform (WT). Obviously, IFS and scaling equation of WT both have contraction mapping principle. |
| Keywords: | invariant measure iterated system scaling equations wavelet transform |
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