For d at least 3, the Hausdorff dimensions of supports of measures with uniform (d-1)-marginals form a dense set in [d-1, d], and fractal-supported ones are dense in the Wasserstein metric on the space of all such measures.
Falconer,Fractal geometry, John Wiley & Sons, Ltd
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On d-stochastic measures with fractal support and uniform (d-1)-marginals, and related results
For d at least 3, the Hausdorff dimensions of supports of measures with uniform (d-1)-marginals form a dense set in [d-1, d], and fractal-supported ones are dense in the Wasserstein metric on the space of all such measures.