Monday, March 11th at 16:15 hs (Santiago time) in the Sala de Seminario (fifth floor), Beauchef 851.
Title: The logarithmic Sobolev inequality and the Sobolev inequality in large dimensions
Abstract: The logarithmic Sobolev inequality can be considered as the infinite dimensional limit of the Sobolev inequality. This lecture is devoted to a review of some recent results in this direction concerning gradient flow methods (carré du champ) and stability results.
References:
1. J. Dolbeault, M. J. Esteban, A. Figalli, R. L. Frank, M. Loss, Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence, Preprint arXiv: 2209.08651 and hal-03780031, (2023).
2. G. Brigati, J. Dolbeault, And N. Simonov, On Gaussian interpolation inequalities, C. R. Math. Acad. Sci. Paris, 362 (2024), pp. 21–44.
3. G. Brigati, J. Dolbeault, And N. Simonov, Stability for the logarithmic Sobolev inequality, Preprint arXiv: 2303.12926, (2023).