67 citations · 313 across the 39 of their papers we have counts for
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math.OC2012★ 5 cited
A glimpse into the differential topology and geometry of optimal transport
Robert J McCann
This note exposes the differential topology and geometry underlying some of the basic phenomena of optimal transportation. It surveys basic questions concerning Monge maps and Kant…
math.AP2012
Higher order time asymptotics of fast diffusion in euclidean space: a dynamical systems approach
Jochen Denzler, Herbert Koch, Robert McCann
This paper quantifies the speed of convergence and higher- order asymptotics of fast diffusion dynamics on R^n to the Barenblatt (self similar) solution. Degeneracies in the parabo…
math.OC2012★ 3 cited
Optimal Transportation with Capacity Constraints
Jonathan Korman, Robert J. McCann
The classical problem of optimal transportation can be formulated as a linear optimization problem on a convex domain: among all joint measures with fixed marginals find the optima…