The logarithmic Sobolev inequality has been first introduced and studied by L. Gross on a Euclidean space, and since then its dimension-free property found many applications in the infinite-dimensional settings. As for many of such setting curvature bounds (or classical Bakry-Emery estimates) are not available, we use different techniques. Examples are provided.

报告人简介：Liangbing Luo works in the intersection of probability, analysis and geometry. Her research focus on functional inequalities on both finite-dimensional and infinite-dimensional geometric spaces. She published papers in Journal of Functional Analysis, IMRN, etc. She obtained her PhD from University of Connecticut under the supervision of Prof Maria Gordina in 2022 and had postdoctoral position at Lehigh University (2022-2024). She is currently a postdoc at Queen’s University from 2024.