Exponential decay of intersection volume and applications

Thời gian: 09:00 đến 11:00 Ngày 22/04/2022

Địa điểm: Online

Báo cáo viên: Tuan Tran (Institute for Basic Science, Korea)

Tóm tắt:

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 Hong Liu and Jaehoon Kim.

Website Seminar: https://sites.google.com/view/ktv-seminar/