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Optimal Transport

Theory and Applications

Cédric Villani editor Yann Ollivier editor Hervé Pajot editor

Format:Paperback

Publisher:Cambridge University Press

Published:7th Aug '14

Currently unavailable, and unfortunately no date known when it will be back

Optimal Transport cover

Lecture notes and research papers on optimal transportation, its applications, and interactions with other areas of mathematics.

A collection of introductory lecture notes and research papers on optimal transportation and its interactions with analysis, geometry, PDE and probability. Both fundamental and advanced aspects of the theory are covered, as well as applications to urban planning and economics. A valuable resource for graduate students and researchers.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 proceedings of the summer school 'Optimal Transportation: Theory and Applications' held at the Fourier Institute in Grenoble. The event brought together mathematicians from pure and applied mathematics, astrophysics, economics and computer science. Part I of this book is devoted to introductory lecture notes accessible to graduate students, while Part II contains research papers. Together, they represent a valuable resource on both fundamental and advanced aspects of optimal transportation, its applications, and its interactions with analysis, geometry, PDE and probability, urban planning and economics. Topics covered include Ricci flow, the Euler equations, functional inequalities, curvature-dimension conditions, and traffic congestion.

ISBN: 9781107689497

Dimensions: 228mm x 152mm x 18mm

Weight: 470g

316 pages