Optimal transportation theory and applications
The theory of optimal transportation has its origins in the eighteenth century when the problem of transporting resources at a minimal cost was first formalised. Through subsequent developments, particularly in recent decades, it has become a powerful modern theory. This book contains the proceeding...
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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
2014
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| Series: | London Mathematical Society lecture note series
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| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of Contents:
- Short courses: Introduction to optimal transport theory / Filippo Santambrogio
- Models and applications of optimal transport in economics, traffic, and urban planning / Filippo Santambrogio
- Logarithmic Sobolev inequality for diffusion semigroups / Ivan Gentil
- Lecture notes on variational models for incompressible Euler equations / Luigi Ambrosio and Alessio Figalli
- Ricci flow : the foundations via optimal transportation / Peter Topping
- Lecture notes on gradient flows and optimal transport / Sara Daneri and Giuseppe Savaré
- Ricci curvature, entropy, and optimal transport / Shin-ichi Ohta
- Surveys and research papers: Computing a mass transport problem with a least-squares method / Olivier Besson, Martine Picq, and Jérome Poussin
- On the duality theory for the Monge-Kantorovich transport problem / Mathias Beiglböck, Christian Léonard, and Walter Schachermayer
- Optimal coupling for mean field limits / François Bolley
- Functional inequalities via Lyapunov conditions /PatrockCattiaux and Arnaud Guillin
- Size of the medial axis and stability of Federer's curvature measures / Quentin Mérigot