Speaker: 于磊，南开大学

Inviter: 随机分析研究中心

Title: Isoperimetry for small sets in product spaces

Language: Chinese

Time & Venue: 2026.11.06 11:30-12:30 南楼N613

Abstract: Given a fixed volume, which subset minimizes surface area? This is the classical isoperimetric problem, notoriously hard to solve exactly except in special cases. Rather than seeking exact minimizers, we characterize the asymptotic solutions for small sets in product Riemannian manifolds $M^n$ endowed with product probability measures, where the base manifold $M$ satisfies the curvature-dimension condition $CD(0,\infty)$. Our key observation is that conditionally typical sets from information theory yield asymptotically optimal isoperimetric minimizers.