Title: Some inequalities on Rényi entropy along the heat flow
Speaker: Hao Wu（Xi’an Jiaotong University）
Time: 12.04 (Thursday), 13:30-14:30
Venue: Room 315, Gewu Building
Abstract: In this talk, we will discuss several information-theoretic inequalities associated with Rényi entropy along the heat flow. The presentation will focus on recent results concerning higher-order time derivatives of Rényi entropy along the heat flow, Rényi-entropic isoperimetric inequalities, and Rényi entropy power and related inequalities, which extend several classical results known for Shannon entropy to the Rényi framework. The talk is based on my joint works with Lei Yu (NKU) and Laigang Guo (BNU).
