学术报告
刘鸿教授:Exponential decay of intersection volume and applications

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

刘鸿教授,韩国基础科学研究院

Inviter: 交叉中心
Title:
Exponential decay of intersection volume and applications
Language: Chinese
Time & Venue:
2023.02.18 09:30-10:30 N219
Abstract:

When two balls in a metric space have small intersection? We give some natural conditions to guarantee an exponential decay on the volume of such intersections. Our proof is conceptually simple, making use of concentration of measure on a “slice”. We will discuss a couple of applications of this volume estimate in coding theory.

This is joint work with Jaehoon Kim and Tuan Tran.