Optimal Transport and Applications to Geometric Optics
This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshipment problem, and the network flow problem. A chap...
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| Autor corporatiu: | |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2023.
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| Edició: | 1st ed. 2023. |
| Col·lecció: | SpringerBriefs on PDEs and Data Science,
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| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-981-99-4867-3 |
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Taula de continguts:
- Chapter 1 Introduction
- Chapter 2 The normal mapping or subdifferential.-Chapter 3 Sinkhorn’s theorem and application to the distribution problem
- Chapter4 Monge-Kantorovich distance
- Chapter 5 Multivalued measure preserving maps
- Chapter 6 Kantorovich Dual Problem
- Chapter 7 Brenier and Aleksandrov solutions
- Chapter 8 Cyclical monotonicity
- Chapter 9 Quadratic cost
- Chapter 10 Brenier ’s Polar Factorization Theorem
- Chapter 11 Benamou and Brenier formula
- Chapter 12 Snell’s law of refraction
- Chapter 13 Solution of the far field refractor problem < 1
- Chapter 14 Proof of the Disintegration Theorem
- Chapter 15 Acknowledgements
- Chapter 16 References.