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: | Tagungsbericht E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2014
|
| Schriftenreihe: | London Mathematical Society lecture note series
413 |
| Links: | https://doi.org/10.1017/CBO9781107297296 |
| 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. |
| Umfang: | 1 Online-Ressource (x, 306 Seiten) |
| ISBN: | 9781107297296 |
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| 490 | 1 | |a London Mathematical Society lecture note series |v 413 | |
| 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. | ||
| 700 | 1 | |a Ollivier, Yann |d 1978- | |
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| spelling | Optimal Transportation: Theory and Applications (Summer school) (2009 : Institut Fourier) Optimal transportation theory and applications edited by Yann Ollivier, Hervé Pajot, Cédric Villani Cambridge Cambridge University Press 2014 1 Online-Ressource (x, 306 Seiten) txt c cr London Mathematical Society lecture note series 413 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. Ollivier, Yann 1978- Pajot, Hervé 1967- Villani, Cédric 1973- Erscheint auch als Druck-Ausgabe 9781107689497 |
| spellingShingle | Optimal transportation theory and applications |
| 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 |
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