Optimal transportation: theory and applications
Ollivier, Yann
Editor
Pajot, Herve
Editor
Villani, Cedric
Editor
text
bibliography
enk
Cambridge
Cambridge University Press
2014
monographic
eng
x, 306 p.
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.(http://www.cambridge.org/us/academic/subjects/mathematics/geometry-and-topology/optimal-transport-theory-and-applications?format=PB)
Transportation problems - Programming
Mathematical optimization
Combinatorial analysis
Matrices
Combinatorial analysis - fast
Mathematical optimization - fast
Matrices - fast
Transportation problems - Programming - fast
519.6 O7
9781107689497
150219