Francesco Cellarosi (Queen's University)
Date
Thursday March 28, 20245:30 pm - 6:30 pm
Location
Jeffery Hall, Room 118Event Category
Math Club
Thursday, March 28th, 2024
Time: 5:30 p.m. Place: Jeffery Hall, Room 118
Speaker: Francesco Cellarosi (Queen's University)
Title: Concentration of measure on the sphere
Abstract: If we pick a point uniformly at random on a unit sphere, what is the probability that we are in close to the equator?
It turns out that for high-dimensional spheres this probability is very close to 1, showing that the "surface area" is concentrated near the equator. This already counterintuitive statement turns paradoxical if we consider the fact that it must be true for every equator…
We will discuss these facts and their connection with the isoperimetric inequality.