Ebook: Optimal Mass Transport on Euclidean Spaces
Author: Francesco Maggi
- Genre: Mathematics // Optimization. Operations Research
- Tags: Monge Problem Transport Problems Kantorovich Problem Isoperimetric Inequality Wasserstein Space Fokker-Plank Equation Sudakov Theorem
- Series: Cambridge studies in advanced mathematics 207
- Year: 2023
- Publisher: Cambridge University Press
- City: Cambridge
- Edition: 1
- Language: English
- pdf
Optimal mass transport has emerged in the past three decades as an active field with wide-ranging connections to the calculus of variations, PDEs, and geometric analysis. This graduate-level introduction covers the field's theoretical foundation and key ideas in applications. By focusing on optimal mass transport problems in a Euclidean setting, the book is able to introduce concepts in a gradual, accessible way with minimal prerequisites, while remaining technically and conceptually complete. Working in a familiar context will help readers build geometric intuition quickly and give them a strong foundation in the subject. This book explores the relation between the Monge and Kantorovich transport problems, solving the former for both the linear transport cost (which is important in geometric applications) and for the quadratic transport cost (which is central in PDE applications), starting from the solution of the latter for arbitrary transport costs.
Download the book Optimal Mass Transport on Euclidean Spaces for free or read online
Continue reading on any device:
Last viewed books
Related books
{related-news}
Comments (0)