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Optimal Transport

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Cover of 'Optimal Transport'

Table of Contents

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    Book Overview
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    Chapter 1 Couplings and changes of variables
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    Chapter 2 Three examples of coupling techniques
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    Chapter 3 The founding fathers of optimal transport
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    Chapter 4 Basic properties
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    Chapter 5 Cyclical monotonicity and Kantorovich duality
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    Chapter 6 The Wasserstein distances
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    Chapter 7 Displacement interpolation
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    Chapter 8 The Monge—Mather shortening principle
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    Chapter 9 Solution of the Monge problem I: global approach
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    Chapter 10 Solution of the Monge problem II: Local approach
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    Chapter 11 The Jacobian equation
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    Chapter 12 Smoothness
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    Chapter 13 Qualitative picture
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    Chapter 14 Ricci curvature
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    Chapter 15 Otto calculus
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    Chapter 16 Displacement convexity I
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    Chapter 17 Displacement convexity II
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    Chapter 18 Volume control
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    Chapter 19 Density control and local regularity
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    Chapter 20 Infinitesimal displacement convexity
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    Chapter 21 Isoperimetric-type inequalities
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    Chapter 22 Concentration inequalities
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    Chapter 23 Gradient flows I
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    Chapter 24 Gradient flows II: Qualitative properties
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    Chapter 25 Gradient flows III: Functional inequalities
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    Chapter 26 Analytic and synthetic points of view
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    Chapter 27 Convergence of metric-measure spaces
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    Chapter 28 Stability of optimal transport
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    Chapter 29 Weak Ricci curvature bounds I: Definition and Stability
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    Chapter 30 Weak Ricci curvature bounds II: Geometric and analytic properties
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Citations

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Title
Optimal Transport
Published by
Springer-Verlag Berlin Heidelberg, January 2009
DOI 10.1007/978-3-540-71050-9
ISBNs
978-3-54-071049-3, 978-3-54-071050-9, 978-3-66-250180-1
Authors

Villani, Cédric, Cédric Villani

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X Demographics

The data shown below were collected from the profiles of 89 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 97 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 97 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 6 6%
Student > Master 2 2%
Researcher 1 1%
Professor > Associate Professor 1 1%
Unknown 87 90%
Readers by discipline Count As %
Computer Science 6 6%
Physics and Astronomy 1 1%
Chemistry 1 1%
Engineering 1 1%
Unknown 88 91%