Answers are grounded in this paper and cite their sources.
Among -valued triples of random vectors (X,Y,Z) having fixed marginal probability laws, what is the best way to jointly draw (X,Y,Z) in such a way that the simplex generated by (X,Y,Z) has maximal average volume? Motivated by this simple question, we study optimal transportation problems with several marginals when the objective function is the determinant or its absolute value.
No takes yet. Share an insight, caveat, or question.
Carlier et al. (2008) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: