Stability for Sobolev and Log-Sobolev inequalities

Series
Math Physics Seminar
Time
Thursday, February 16, 2023 - 12:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Michael Loss – SoM Georgia Tech – loss@math.gatech.edu
Organizer
Michael Loss

I discuss a sharp quantitative stability result for the Sobolev inequality with explicit constants. Moreover, the constants have the optimal behavior in the limit of large dimensions, which allows us to deduce an optimal quantitative stability estimate for the Gaussian log-Sobolev inequality with an explicit dimension-free constant.