The work provides necessary and sufficient conditions for self-affine intersections of homogeneous self-similar sets with translates in R^n, improves dimension results for self-similar cases, and defines multiplicative invariance in Z^n connected to n-torus invariants.
Jia, Bound of the Hausdorff measure of the Sierpinski gasket,J
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On the intersections of homogeneous self-similar sets with their translates in $\mathbb{R}^{n}$ and a formulation of multiplicative invariance in $\mathbb{Z}^{n}$
The work provides necessary and sufficient conditions for self-affine intersections of homogeneous self-similar sets with translates in R^n, improves dimension results for self-similar cases, and defines multiplicative invariance in Z^n connected to n-torus invariants.