New Classes of Random Tessellations Arising from Iterative Division of Cells
New Classes of Random Tessellations Arising from Iterative Division of Cells
复制标题
细胞迭代分裂产生的新类随机镶嵌
DOI：
10.1239/aap/1269611142
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发表时间：
2010
影响因子：
1.2
通讯作者：
R. Cowan
中科院分区：
文献类型：
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作者：
R. Cowan
我们提出了新的想法的类型的随机镶嵌，通过连续的分裂其细胞的发展。这些思想是以一种直观的方式发展起来的，有许多图片，只有少量的数学形式，因此这些思想的广泛应用对所有读者来说都是显而易见的。大量的新的镶嵌模型，与已知的概率分布的典型细胞的体积，遵循本文中的概念。还有其他一些有趣的模型，其结果没有提供（或仅通过模拟方法提供），但这些模型具有说明价值。本文的思想为进一步的研究开辟了一个大的议程。
We present new ideas about the type of random tessellation which evolves through successive division of its cells. These ideas are developed in an intuitive way, with many pictures and only a modicum of mathematical formalism–so that the wide application of the ideas is clearly apparent to all readers. A vast number of new tessellation models, with known probability distribution for the volume of the typical cell, follow from the concepts in this paper. There are other interesting models for which results are not presented (or presented only through simulation methods), but these models have illustrative value. A large agenda of further research is opened up by the ideas in this paper.