On W-entropy formulas for Langevin deformations over Wasserstein space

发布时间:2023-03-06浏览次数:603

题目:On W-entropy formulas for Langevin deformations over Wasserstein space


报告人:李向东 研究员(中科院数学与系统科学研究院


时间:310星期五),15:30-16:30


地点:腾讯会议会议号:893 4129 1815


摘要:In this talk, I will briefly review the history of optimal transport problem and Otto's Riemannian structure on the Wasserstein space of probability measures over a Riemannian manifold. Then I will introduce the Langevin deformations which interpolate the heat equation or the porous medium equation and the geodesic flow on the Wasserstein space. The W-entropy  formulas are  proved for the Langevin flows. Based on joint works with S. Li, R. Lei and Y.Z. Wang.

 

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