Scaling Equation for Invariant Measure
LIUShi-Kuo, FUZun-Tao · 理论物理通讯：英文版 · 2003
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.