论文标题

在飞机上占主导的自载套的可见部分

Visible part of dominated self-affine sets in the plane

论文作者

Rossi, Eino

论文摘要

正在研究自我疗​​法集的可见部分的尺寸,即满足统治和投影条件。主要的结果是,在自种式集合的圆柱体的极限方向之外的所有方向之外,可见部分的补充尺寸等于1。结果不管圆柱体的重叠如何。还在讨论结果的清晰度。

The dimension of the visible part of self-affine sets, that satisfy domination and a projection condition, is being studied. The main result is that the assouad dimension of the visible part equals to 1 for all directions outside the set of limit directions of the cylinders of the self-affine set. The result holds regardless of the overlap of the cylinders. The sharpness of the result is also being discussed.

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