Dimensions of slices through a class of generalized Sierpinski sponges

作者：Wu Wen; Xi Lifeng^*

来源：Journal of Mathematical Analysis and Applications, 2013, 399(2): 514-523.

DOI：10.1016/j.jmaa.2012.10.041

• Fractal
• Section
• Marstrand's theorem
• Sierpinski sponge

In this paper, we discuss the intersections of a class of generalized Sierpinski sponges in R-n with an (n - 1)-dimensional hyperplane of integer orthogonal direction. We prove that under a suitable congruence condition, the dimension equals the dimension of the generalized Sierpinski sponge minus 1.

• 出版日期2013-3-15
• 单位浙江万里学院