An invitation to optimal transport, Wasserstein distances, and gradient flows

DOI10.4171/ETB/22zbMath1472.49001OpenAlexW3175831284MaRDI QIDQ2042080

Federico Glaudo, Alessio Figalli

Publication date: 27 July 2021

Published in: EMS Textbooks in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/etb/22

zbMATH Keywords

dualitymeasure theoryWasserstein distanceoptimal transportgradient flowsdisplacement convexity

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Spaces of measures, convergence of measures (28A33) Duality theory (optimization) (49N15) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Integration and disintegration of measures (28A50) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01) Optimal transportation (49Q22)

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