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