Optimal transportation: theory and applications
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 proceeding...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
2014
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| Schriftenreihe: | London Mathematical Society lecture note series
413 |
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| Online-Zugang: | BSB01 FHN01 UER01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, 306 pages) |
| ISBN: | 9781107297296 |
| DOI: | 10.1017/CBO9781107297296 |
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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 | ||
| 650 | 4 | |a Transportation problems (Programming) / Congresses | |
| 650 | 4 | |a Mathematical optimization / Congresses | |
| 650 | 4 | |a Combinatorial analysis / Congresses | |
| 650 | 4 | |a Matrices / Congresses | |
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| author_facet | Ollivier, Yann 1978 Pajot, Hervé Villani, Cédric 1973- Optimal Transportation: Theory and Applications (Summer school) <2009, Institut Fourier> |
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| contents | 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 Savaré -- 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 Jérome Poussin -- On the duality theory for the Monge-Kantorovich transport problem / Mathias Beiglböck, Christian Léonard, 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 Mérigot |
| ctrlnum | (ZDB-20-CBO)CR9781107297296 (OCoLC)894732687 (DE-599)BVBBV043946000 |
| dewey-full | 519.0 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.0 |
| dewey-search | 519.0 |
| dewey-sort | 3519.0 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9781107297296 |
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| isbn | 9781107297296 |
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| spelling | Optimal Transportation: Theory and Applications (Summer school) <2009, Institut Fourier> Verfasser aut Optimal transportation theory and applications edited by Yann Ollivier, Hervé Pajot, Cédric Villani Cambridge Cambridge University Press 2014 1 online resource (x, 306 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 413 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 Savaré -- 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 Jérome Poussin -- On the duality theory for the Monge-Kantorovich transport problem / Mathias Beiglböck, Christian Léonard, 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 Mérigot 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 Transportation problems (Programming) / Congresses Mathematical optimization / Congresses Combinatorial analysis / Congresses Matrices / Congresses Transportproblem (DE-588)4060694-6 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Transportproblem (DE-588)4060694-6 s 1\p DE-604 Ollivier, Yann 1978 (DE-588)1063216885 edt Pajot, Hervé (DE-588)1162568674 edt Villani, Cédric 1973- (DE-588)13389701X edt Erscheint auch als Druck-Ausgabe, Paperback 978-1-107-68949-7 https://doi.org/10.1017/CBO9781107297296 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Optimal transportation theory and applications 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 Savaré -- 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 Jérome Poussin -- On the duality theory for the Monge-Kantorovich transport problem / Mathias Beiglböck, Christian Léonard, 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 Mérigot Transportation problems (Programming) / Congresses Mathematical optimization / Congresses Combinatorial analysis / Congresses Matrices / Congresses Transportproblem (DE-588)4060694-6 gnd |
| subject_GND | (DE-588)4060694-6 (DE-588)1071861417 |
| title | Optimal transportation theory and applications |
| title_auth | Optimal transportation theory and applications |
| title_exact_search | Optimal transportation theory and applications |
| title_full | Optimal transportation theory and applications edited by Yann Ollivier, Hervé Pajot, Cédric Villani |
| title_fullStr | Optimal transportation theory and applications edited by Yann Ollivier, Hervé Pajot, Cédric Villani |
| title_full_unstemmed | Optimal transportation theory and applications edited by Yann Ollivier, Hervé Pajot, Cédric Villani |
| title_short | Optimal transportation |
| title_sort | optimal transportation theory and applications |
| title_sub | theory and applications |
| topic | Transportation problems (Programming) / Congresses Mathematical optimization / Congresses Combinatorial analysis / Congresses Matrices / Congresses Transportproblem (DE-588)4060694-6 gnd |
| topic_facet | Transportation problems (Programming) / Congresses Mathematical optimization / Congresses Combinatorial analysis / Congresses Matrices / Congresses Transportproblem Konferenzschrift |
| url | https://doi.org/10.1017/CBO9781107297296 |
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