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Optimal Mass Transport

Optimal Mass Transport

Paperback

General Mathematics

ISBN10: 6203847488
ISBN13: 9786203847482
Publisher: Lap Lambert Academic Pub
Published: Apr 19 2021
Pages: 56
Weight: 0.21
Height: 0.13 Width: 6.00 Depth: 9.00
Language: English
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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General Mathematics