Almost sure convergence of the minimum bipartite matching functional in Euclidean space

J. H. Boutet de Monvel, O. C. Martin

Let $L_N=L_{MBM}(X_1,...,X_N;Y_1,...,Y_N)$ be the minimum length of a bipartite matching between two sets of points in ${\mathbf{R}}^d$, where $X_1,...,X_N,...$ and $Y_1,..., Y…