中文摘要：

利用Markov算子对测度作用的方法,研究等概率条件下基于双曲迭代函数系的Cantor三分集、Sierpinski直角三角形和Koch曲线等典型分形集中概率测度与Dirac测度的关系,得到了概率相等和概率不等时更一般分形集中概率测度与Dirac测度的关系.

英文摘要：

Using the method of Markov operator to measure function, we investigated the relationship between probability measure of the typical fractal sets and Dirac measure of Cantor division set, Sierpinski right triangle and Koch curve based on hyperbolic iterated function system under the condition of equal probability, and obtained the relationship between probability measure and Dirac measure on the more general fractal sets under equal probability and unequal probability, respectively.