Scaling Equation for Invariant Measure

来源 :理论物理通讯 | 被引量 : 0次 | 上传用户：xumeg

【摘要】

：

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 tran

【作者】

：

LIU Shi-Kuo FU Zun-Tao LIU Shi

【机构】

：

School of Physics,State Key Laboratory for Turbulence Complex System

【出处】

：

理论物理通讯

【发表日期】

：

2004年期

【关键词】

：

invariant measure iterated system scaling equations wavelet transform

【基金项目】

：

国家自然科学基金

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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.

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Scaling Equation for Invariant Measure

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