关于不变测度的维数分布的一点注记

On the note of the dimensional distribution of invariant measures

通过由任意的双李普希茨迭代函数系生成的不变测度,证明了不变测度的维数分布是一个单点分布,从一种新的角度研究了概率测度的结构与复杂性.

The dimensional distribution of invariant measures is proved to be a unitary distribution by means of the invariant measures generated by the arbitrary bi-Lipschitz iterative function system.The structure and complexity of probability measures are studied from a new perspective.