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Annealed quantitative estimates for the quadratic 2D-discrete random matching problem
We study a random matching problem on closed compact 2-dimensional Riemannian
manifolds (with respect to the squared Riemannian distance), with samples of random points …
manifolds (with respect to the squared Riemannian distance), with samples of random points …
Sharp PDE estimates for random two-dimensional bipartite matching with power cost function
We investigate the random bipartite optimal matching problem on a flat torus in two
dimensions, considering general strictly convex power costs of the distance. We extend the …
dimensions, considering general strictly convex power costs of the distance. We extend the …
Partial regularity for optimal transport with p-cost away from fixed points
arxiv:2407.08846v1 [math.AP] 11 Jul 2024 Page 1 arxiv:2407.08846v1 [math.AP] 11 Jul 2024
PARTIAL REGULARITY FOR OPTIMAL TRANSPORT WITH P-COST AWAY FROM FIXED …
PARTIAL REGULARITY FOR OPTIMAL TRANSPORT WITH P-COST AWAY FROM FIXED …
There is no stationary p-cyclically monotone Poisson matching in 2d
We show that for p> 1 there is no p-cyclically monotone stationary matching of two
independent Poisson processes in dimension d= 2. The proof combines the p-harmonic …
independent Poisson processes in dimension d= 2. The proof combines the p-harmonic …