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Author Optimal Transportation: Theory and Applications (Summer school) (2009 : Institut Fourier)
Title Optimal transportation : theory and applications / edited by Yann Ollivier, Herve Pajot, Cedric Villani
Imprint Cambridge : Cambridge University Press, 2014
book jacket
Descript 1 online resource (x, 306 pages) : digital, PDF file(s)
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unmediated n rdamedia
volume nc rdacarrier
text file PDF rda
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 / Shin-ichi Ohta -- Surveys and research papers: Computing a mass transport problem with a least-squares method / Olivier Besson, Martine Picq, and Jerome Poussin -- On the duality theory for the Monge-Kantorovich transport problem / Mathias Beiglbock, Christian Leonard, and Walter Schachermayer -- Optimal coupling for mean field limits / Fran├žois 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, curvature-dimension 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
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