Tube Formula for Self-Similar Fractals with non-Steiner-like Generators

Abstract

We give a direct, pointwise proof for the tube formula of Lapidus-Pearse for self-similar fractals, where we allow non-convex, non-Steiner-like generators.

15 pages, 7 figures

Cited by in corpus (2)

• Lattice-type self-similar sets with pluriphase generators fail to be Minkowski measurable
• Minkowski measurability criteria for compact sets and relative fractal drums in Euclidean spaces