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Geometry-Topology Seminar

Thursday, February 23, 2017 - 4:30pm

Yanir Rubinstein

University of Maryland


University of Pennsylvania


In joint work with M. Lindsey we rephrase the optimal transportation problem with quadratic cost--via a Monge-Ampere equation--as an infinite-dimensional optimization problem, which is often a convex problem. This leads us to define a natural finite-dimensional discretization to the problem and ultimately develop a numerical scheme for which we prove a convergence result.