Optimal Mass Transport - Gacemi, Geoffrey;Sedjro, Marc
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In this book, we discuss the theory of optimal mass transport as first formulated by Gaspard Monge in 1781. We further discuss the important steps leading to the existence of solutions to the Monge's problem. Next, we formulate Brenier theorem which not only solves the Monge's problem for quadratic cost function but also provides a link to a class of the Monge-Ampere equations. Finally, we study the regularity of Brenier solution.

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Produktbeschreibung
In this book, we discuss the theory of optimal mass transport as first formulated by Gaspard Monge in 1781. We further discuss the important steps leading to the existence of solutions to the Monge's problem. Next, we formulate Brenier theorem which not only solves the Monge's problem for quadratic cost function but also provides a link to a class of the Monge-Ampere equations. Finally, we study the regularity of Brenier solution.
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Autorenporträt
Ngeru Geoffrey Gacemi is a Tutorial Fellow at the Department of Pure and Applied Mathematics at the Technical University of Kenya. He holds a M.Sc in Mathematical Sciences from the University of Cape Town and the African Institute for Mathematical Sciences in South Africa and a B.Sc in Mathematics from the Technical University of Kenya.