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math.PR2019
Stability of the logarithmic Sobolev inequality via the Föllmer Process
Ronen Eldan, Joseph Lehec, Yair Shenfeld
We study the stability and instability of the Gaussian logarithmic Sobolev inequality, in terms of covariance, Wasserstein distance and Fisher information, addressing several open…
math.MG2019★ 17 cited
The Extremals of Minkowski's Quadratic Inequality
Yair Shenfeld, Ramon van Handel
In a seminal paper "Volumen und Oberfläche" (1903), Minkowski introduced the basic notion of mixed volumes and the corresponding inequalities that lie at the heart of convex geomet…