Grundlehren der mathematischen Wissenschaften - Optimal Transport
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Published By Springer Berlin Heidelberg

9783540710493, 9783540710509

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The Monge—Mather shortening principle

Grundlehren der mathematischen Wissenschaften - Optimal Transport ◽

10.1007/978-3-540-71050-9_8 ◽

2009 ◽

pp. 163-203

Author(s):

Cédric Villani

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The founding fathers of optimal transport

Grundlehren der mathematischen Wissenschaften - Optimal Transport ◽

10.1007/978-3-540-71050-9_3 ◽

2009 ◽

pp. 29-37 ◽

Author(s):

Cédric Villani

Keyword(s):

Optimal Transport ◽

Founding Fathers

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Weak Ricci curvature bounds I: Definition and Stability

Grundlehren der mathematischen Wissenschaften - Optimal Transport ◽

10.1007/978-3-540-71050-9_29 ◽

2009 ◽

pp. 795-846

Author(s):

Cédric Villani

Keyword(s):

Ricci Curvature ◽

Curvature Bounds

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Analytic and synthetic points of view

Grundlehren der mathematischen Wissenschaften - Optimal Transport ◽

10.1007/978-3-540-71050-9_26 ◽

2009 ◽

pp. 735-741

Author(s):

Cédric Villani

Keyword(s):

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Concentration inequalities

Grundlehren der mathematischen Wissenschaften - Optimal Transport ◽

10.1007/978-3-540-71050-9_22 ◽

2009 ◽

pp. 567-628

Author(s):

Cédric Villani

Keyword(s):

Concentration Inequalities

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Displacement convexity I

Grundlehren der mathematischen Wissenschaften - Optimal Transport ◽

10.1007/978-3-540-71050-9_16 ◽

2009 ◽

pp. 435-447

Author(s):

Cédric Villani

Keyword(s):

Displacement Convexity

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Ricci curvature

Grundlehren der mathematischen Wissenschaften - Optimal Transport ◽

10.1007/978-3-540-71050-9_14 ◽

2009 ◽

pp. 357-420

Author(s):

Cédric Villani

Keyword(s):

Ricci Curvature

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Density control and local regularity

Grundlehren der mathematischen Wissenschaften - Optimal Transport ◽

10.1007/978-3-540-71050-9_19 ◽

2009 ◽

pp. 505-524

Author(s):

Cédric Villani

Keyword(s):

Local Regularity ◽

Density Control

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Gradient flows III: Functional inequalities

Grundlehren der mathematischen Wissenschaften - Optimal Transport ◽

10.1007/978-3-540-71050-9_25 ◽

2009 ◽

pp. 719-729

Author(s):

Cédric Villani

Keyword(s):

Functional Inequalities ◽

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Gradient flows II: Qualitative properties

Grundlehren der mathematischen Wissenschaften - Optimal Transport ◽

10.1007/978-3-540-71050-9_24 ◽

2009 ◽

pp. 693-717

Author(s):

Cédric Villani

Keyword(s):

Gradient Flows ◽

Qualitative Properties

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