On d-stochastic measures with fractal support and uniform (d-1)-marginals, and related results

Nicolas Pascal Dietrich, Juan Fernández Sánchez, Wolfgang Trutschnig

The family ${\mathcal{P}}_d^{\hat{I}{»}_{d-1}}$ of all probability measures on $[0,1{]}^d$ whose $(d-1)$-dimensional marginals are all equal to the Lebesgue measure $\hat{I}{»}_{d-1}$ on $[0,1]^{d-1…