On displacement interpolation of measures involved in Brenier’s theorem
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Publication:3093447
DOI10.1090/S0002-9939-2011-10891-8zbMath1236.49086MaRDI QIDQ3093447
Publication date: 17 October 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Variational problems in a geometric measure-theoretic setting (49Q20) Convex functions and convex programs in convex geometry (52A41) Length, area, volume, other geometric measure theory (28A75)
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Cites Work
- On the structure of singular sets of convex functions
- A convexity principle for interacting gases
- The geometry of optimal transportation
- Parallel transportation for Alexandrov space with curvature bounded below
- On the differentiation of convex functions in finite and infinite dimensional spaces
- Polar factorization and monotone rearrangement of vector‐valued functions
- The Variational Formulation of the Fokker--Planck Equation
- Optimal Transport
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