Produktbild: Lectures on Optimal Transport

Lectures on Optimal Transport

Aus der Reihe La Matematica per il 3+2

51,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

24.07.2021

Verlag

Springer

Seitenzahl

250

Maße (L/B/H)

23,5/15,5/1,4 cm

Gewicht

447 g

Auflage

1st ed. 2021

Sprache

Englisch

ISBN

978-3-030-72161-9

Beschreibung

Rezension

“This book is particularly suited for students who desire to learn from a text which closely follows the organization of a course, as well as for researchers and professors looking for inspiration for their own lecturers on the topic. … The exposition is clear and mostly self-contained, with a nice list of examples that show the necessity of the assumptions of some classical results of the theory.” (Nicolò De Ponti, zbMATH 1485.49001, 2022)

“This book is very well written and will be accessible to graduate students without background on optimal transport … . All in all, this textbook is recommended to graduate students and researchers who want to discover the fundamental theory of optimal transport and its ramifications to several areas of mathematics. It can also easily be used by professors who want to teach a graduate course on thetopic.” (Hugo Lavenant, Mathematical Reviews, June, 2022)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

24.07.2021

Verlag

Springer

Seitenzahl

250

Maße (L/B/H)

23,5/15,5/1,4 cm

Gewicht

447 g

Auflage

1st ed. 2021

Sprache

Englisch

ISBN

978-3-030-72161-9

Herstelleradresse

Springer International Publishing AG
Gewerbestr. 11
6330 Cham
Schweiz
Url: www.springer.com

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  • Produktbild: Lectures on Optimal Transport
  • 1 Lecture 1: Preliminary notions and the Monge problem.- 2 Lecture 2: The Kantorovich problem.- 3 Lecture 3: The Kantorovich - Rubinstein duality.- 4 Lecture 4: Necessary and sufficient optimality conditions.- 5 Lecture 5: Existence of optimal maps and applications.- 6 Lecture 6: A proof of the Isoperimetric inequality and stability in Optimal Transport.- 7 Lecture 7: The Monge-Ampére equation and Optimal Transport on Riemannian manifolds.- 8 Lecture 8: The metric side of Optimal Transport.- 9 Lecture 9: Analysis on metric spaces and the dynamic formulation of Optimal Transport.- 10 Lecture 10: Wasserstein geodesics, nonbranching and curvature.- 11 Lecture 11: Gradient flows: an introduction.- 12 Lecture 12: Gradient flows: the Brézis-Komura theorem.- 13 Lecture 13: Examples of gradient flows in PDEs.- 14 Lecture 14: Gradient flows: the EDE and EDI formulations.- 15 Lecture 15: Semicontinuity and convexity of energies in the Wasserstein space.- 16 Lecture 16: The Continuity Equation and the Hopf-Lax semigroup.- 17 Lecture 17: The Benamou-Brenier formula.- 18 Lecture 18: An introduction to Otto's calculus.- 19 Lecture 19: Heat flow, Optimal Transport and Ricci curvature.