The Hausdorff Dimension of Sections*

Abstract

The notion of finite-type open set condition is defined to calculate the Hausdorff dimensions of the sections of some self-similar sets, such as the dimension of intersection of the Koch curve and the line x = a with a ∈ ℚ.

Keywords

Hausdorff dimension / Self-similar set / Section / Open set condition / 28A80

References

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