A Survey on the Hausdorff Dimension of Intersections

被引：2
|
作者：
Mattila, Pertti [1 ]
机构：
[1] Univ Helsinki, Dept Math & Stat, POB 68, Helsinki 00014, Finland
来源：
MATHEMATICAL AND COMPUTATIONAL APPLICATIONS | 2023年 / 28卷 / 02期
关键词：
Hausdorff dimension; intersection; projection; energy integral; Fourier transform; SETS; CAPACITIES; CONJECTURE;
D O I：
10.3390/mca28020049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A and B be Borel subsets of the Euclidean n-space with dim A + dim B > n. This is a survey on the following question: what can we say about the Hausdorff dimension of the intersections A n (g(B) + z) for generic orthogonal transformations g and translations by z?
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页数：12
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