Descript 
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Series 
London Mathematical Society lecture note series ; 413 

London Mathematical Society lecture note series ; 413

Note 
Title from publisher's bibliographic system (viewed on 05 Oct 2015) 

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 Savare  Ricci curvature, entropy, and optimal transport / Shinichi Ohta  Surveys and research papers: Computing a mass transport problem with a leastsquares method / Olivier Besson, Martine Picq, and Jerome Poussin  On the duality theory for the MongeKantorovich transport problem / Mathias Beiglbock, Christian Leonard, 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 Merigot 

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, curvaturedimension conditions, and traffic congestion 
Subject 
Transportation problems (Programming)  Congresses


Mathematical optimization  Congresses


Combinatorial analysis  Congresses


Matrices  Congresses

Alt Author 
Ollivier, Yann, 1978 editor


Pajot, Herve, 1967 editor


Villani, Cedric, 1973 editor

