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math.AP2016
Rigidity and stability of Caffarelli's log-concave perturbation theorem
Guido De Philippis, Alessio Figalli
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 almos…
math.SP2016
Spectral inequalities in quantitative form
Lorenzo Brasco, Guido De Philippis
We review some results about quantitative improvements of sharp inequalities for eigenvalues of the Laplacian.