2 papers
math.DS2026
Cantor sets in higher dimensions II: Optimal dimension constraint for stable intersections
Meysam Nassiri, Mojtaba Zareh Bidaki
It is well known that a pair of compact sets in () can be separated by small deformations if the sum of their upper box dimensions is less than …
math.DS2026
Cantor sets in higher dimension I: Criterion for stable intersections
Meysam Nassiri, Mojtaba Zareh Bidaki
We study the geometry of dynamically defined Cantor sets in arbitrary dimensions, introducing a criterion for stable intersections of such Cantor sets, under a…