Random self-affine sponges in R^d almost surely have Hausdorff and Minkowski dimensions equal to min{d,s0}, where s0 is the zero of the expected singular-value pressure, with no separation condition.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2025 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Self-affine sponges with random contractions
Random self-affine sponges in R^d almost surely have Hausdorff and Minkowski dimensions equal to min{d,s0}, where s0 is the zero of the expected singular-value pressure, with no separation condition.