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Optimal transport[electronic resource] :theory and applications /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	519.0
書名/作者:	Optimal transport : theory and applications // edited by Yann Ollivier, Herve Pajot, Cedric Villani.
其他題名:	Optimal transportation
其他作者:	Villani, Cedric,
團體作者:	Optimal Transportation: Theory and Applications (Summer school)
出版者:	Cambridge : : Cambridge University Press,, 2014.
面頁冊數:	x, 306 p. : : ill., digital ;; 24 cm.
標題:	Transportation problems (Programming)
標題:	Mathematical optimization
標題:	Combinatorial analysis
標題:	Matrices
ISBN:	9781107297296
ISBN:	9781107689497
內容註:	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.
摘要、提要註:	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.
電子資源:	https://doi.org/10.1017/CBO9781107297296

Optimal transport[electronic resource] :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 ;402..

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:

665400
Transportation problems (Programming)

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

Dewey Class. No.: 519.0

Optimal transport[electronic resource] :theory and applications /
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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.
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650 0 $a Combinatorial analysis $3 136046
650 0 $a Matrices $3 136251
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