Published Paper

Inserted: 31 may 2016
Last Updated: 19 aug 2024

Journal: Nonlinear Anal.
Year: 2017

Abstract:

In this note, we establish some rigidity and stability results for Caffarelli’s log-concave perturbation theorem. As an application, we show that if a 1-log-concave measure has almost the same Poincaré constant as the Gaussian measure, then it almost splits off a Gaussian factor.

Download:

• StabilityNA.pdf