论文标题
多边形地毯上的自相似迪里奇图
Self-similar Dirichlet forms on polygon carpets
论文作者
论文摘要
我们在两种类型的多边形地毯上构建了与高斯热内核估算的对称自相似扩散，这是计划者Sierpinski地毯（SC）的自然概括。第一个被称为完美的多边形地毯，它是SC的天然类似物，因为任何相交的单元格是左右或点对点的。第二个被称为边界的多边形地毯，满足边界，包括作为SC的条件，但允许不同的收缩比。
We construct symmetric self-similar diffusions with sub-Gaussian heat kernel estimates on two types of polygon carpets, which are natural generalizations of planner Sierpinski carpets (SC). The first ones are called perfect polygon carpets that are natural analogs of SC in that any intersection cells are either side-to-side or point-to-point. The second ones are called bordered polygon carpets which satisfy the boundary including condition as SC but allow distinct contraction ratios.
