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Lecture XVII: The Benamou-Brenier Formula

  • 章节

  • 发表日期：

    2024年

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  • Luigi Ambrosio,
  • Elia Brué,
  • Daniele Semola

摘要

We are going to show the tight connection between absolutely continuous curves in \((\mathcal {P}_2(\mathbb {R}^n),W_2)\) and solutions to the continuity equation. The first ingredient of this deep link is the Benamou-Brenier formula.