Optimal Transportation - Archive ouverte HAL Accéder directement au contenu
Ouvrages Année : 2014

Optimal Transportation

Hervé Pajot
Cédric Villani
  • Fonction : Auteur
  • PersonId : 834500
  • IdRef : 074309854

Résumé

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.
Fichier non déposé

Dates et versions

hal-01104763 , version 1 (19-01-2015)

Identifiants

  • HAL Id : hal-01104763 , version 1

Citer

Yann Ollivier, Hervé Pajot, Cédric Villani. Optimal Transportation: Theory and applications. Yann Ollivie; Hervé Pajo; Cédric Villani. Cambridge University Press, 413, 2014, London Mathematical Society Lecture Note Series, 9781107689497. ⟨hal-01104763⟩
432 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More