XiangDong Li
Academy of Mathematics and System Sciences, Chinese Academy of Sciences
Title: Perelman's entropy for the Fokker-Planck equation on complete Riemannian manifolds
In 2002, G. Perelman introduced the so-called W-entropy and proved its monotonicity along the Ricci flow and the conjugate heat equation. In this talk I will briefly recall Perelman's heuristic interpretation on how to introduce the W-entropy, and then present some recent work on the monotonicity and rigidity theorems of the W-entropy for the Fokker-Planck equation on complete Riemannian manifolds.
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Last Modified: February 26, 2009