论文标题
Bi-Lipschitz映射的分形变换和量化尺寸的分形维度
Fractal dimensions of fractal transformations and Quantization dimensions for bi-Lipschitz mappings
论文作者
论文摘要
在本文中，我们研究了分形变换图的分形维度，还确定了分形变换图上支持的概率度量的量化维度。此外，我们估计了与强烈的开放设置条件下由Bi-Lipschitz映射组成的加权迭代功能系统的不变度度量的量化维度。
In this paper, we study the fractal dimension of the graph of a fractal transformation and also determine the quantization dimension of a probability measure supported on the graph of the fractal transformation. Moreover, we estimate the quantization dimension of the invariant measures corresponding to a weighted iterated function system consisting of bi-Lipschitz mappings under the strong open set condition.
