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Max Fathi (CNRS & Université Paul Sabatier): Stability for the Bakry-Emery theorem

Ort: MPI für Mathematik in den Naturwissenschaften Leipzig, Inselstr. 22, A3 01 (Sophus-Lie-SR)

Vortrag in der Reihe: Oberseminar ANALYSIS - PROBABILITY\nThe Bakry-Emery theorem states that if a probability measure is in some sense more\nlog-concave than the standard Gaussian measure, then certain functional\ninequalities (such as the Poincare inequality and the logarithmic\nSobolev inequality) hold, with better constants than for the associated\nGaussian inequalities. I will show how we can combine Stein's method and\nsimple variational arguments to show that if the Bakry-Emery bound is\nalmost sharp for a given measure, then that measure must almost split\noff a Gaussian factor, with explicit quantitative bounds. Joint work with Thomas Courtade.

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Beginn: 23. Oktober 2018 16:45

Ende: 23. Oktober 2018 18:15