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PDF(513 KB)
PDF(513 KB)
自仿地毯上的平均测地距离
Average Geodesic Distance of a Self-affine Carpet
Bedford-McMullen地毯在分形几何的研究中占有重要地位.尽管该自仿分形缺乏自相似性，我们利用有限模式技术，得到了Bedford-McMullen地毯上的平均测地距离.
The Bedford-McMullen carpet plays an important role in fractal geometry. Although any self-affine carpet is not self-similar, we can obtain the average geodesic distance on the carpet using the technique named finite pattern.
分形 / 自仿地毯 / 测地距离 {{custom_keyword}} /
fractal / self-affine carpet / geodesic distance {{custom_keyword}} /
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国家自然科学基金（11831007，11771226，11371329，11471124）；教育部新世纪优秀人才支持计划；浙江省哲学社会科学规划课题（17NDJC108YB）以及宁波大学王宽诚幸福基金资助项目
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