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portada Optimal Transport: Theory and Applications (London Mathematical Society Lecture Note Series)
Type
Physical Book
Year
2014
Language
English
Pages
316
Format
Paperback
ISBN13
9781107689497
Edition No.
1

Optimal Transport: Theory and Applications (London Mathematical Society Lecture Note Series)

Yann Ollivier (Author) · Cambridge University Press · Paperback

Optimal Transport: Theory and Applications (London Mathematical Society Lecture Note Series) - Yann Ollivier

Physical Book

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Synopsis "Optimal Transport: Theory and Applications (London Mathematical Society Lecture Note Series)"

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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