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Optimal transport = theory and applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Optimal transport/ edited by Yann Ollivier, Herve Pajot, Cedric Villani.
Reminder of title:	theory and applications /
remainder title:	Optimal transportation
other author:	Ollivier, Yann,
corporate name:	Workshop on the Preservation of Stability under Discretization
Published:	Cambridge :Cambridge University Press, : 2014.,
Description:	x, 306 p. :ill., digital ; : 24 cm.;
Subject:	Transportation problems (Programming) -
Online resource:	https://doi.org/10.1017/CBO9781107297296
ISBN:	9781107297296

Optimal transport = theory and applications /
Optimal transporttheory and applications /[electronic resource] :Optimal transportationedited by Yann Ollivier, Herve Pajot, Cedric Villani. - Cambridge :Cambridge University Press,2014. - x, 306 p. :ill., digital ;24 cm. - London Mathematical Society lecture note series ;413. - London Mathematical Society lecture note series ;382..

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 / 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, curvature-dimension conditions, and traffic congestion.

ISBN: 9781107297296Subjects--Topical Terms:

528610
Transportation problems (Programming)

LC Class. No.: QA402.6 / .O68 2009

Dewey Class. No.: 519.0

Optimal transport = theory and applications /
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490 1 $a London Mathematical Society lecture note series ; $v 413
505 0 $a 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 / 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.
520 $a 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.
650 0 $a Transportation problems (Programming) $3 528610
650 0 $a Mathematical optimization $v Congresses. $3 636240 $3 727798
650 0 $a Combinatorial analysis $v Congresses. $3 528589
650 0 $a Matrices $v Congresses. $3 527694
700 1 $a Ollivier, Yann, $d 1978- $3 1156768
700 1 $a Pajot, Herve, $d 1967- $3 1156769
700 1 $a Villani, Cedric, $d 1973- $3 1156770
830 0 $a London Mathematical Society lecture note series ; $v 382. $3 773477
856 4 0 $u https://doi.org/10.1017/CBO9781107297296