随机自相似集的量子化维数

量子化维数的研究有了很大发展,但是对于随机自相似集的量子化维数的研究尚未有涉及.为此我们将主要研究随机自相似集上一个质量分布的量子化维数.本文利用概率论中数学期望的性质和反证法证明了量子理论中的一个定理在随机情况下也成立,从而为我们研究随机自相似集的量子化维数提供了一个重要的理论基础.

Quantization Dimension of Random Self-similar Set

the study of quantization dimension has got great development,but the quantization dimension of random self-similar sets has not involved,so we will focus on the quantization dimension of random self-similar sets in our next research.In this dissertation,we prove one simple theory in quantization theory is also true in random condition by the properties of mathematical expectation in probability theory,which provides an important theoretical basis for the study of the quantization dimension of random self-s...