Structural Results on Optimal Transportation Plans

In this thesis we prove several results on the structure of solutions to optimal transportation problems. The second chapter represents joint work with Robert McCann and Micah Warren; the main result is that, under a non-degeneracy condition on the cost function, the optimal is concentrated on a...

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Bibliographic Details
Main Author: Pass, Brendan
Other Authors: McCann, Robert
Language:en_ca
Published: 2011
Subjects:
Online Access:http://hdl.handle.net/1807/31893