Stability of the logarithmic Sobolev inequality via the Föllmer process
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Publication:2227485
DOI10.1214/19-AIHP1038zbMath1466.60032arXiv1903.04522OpenAlexW4285711754MaRDI QIDQ2227485
Joseph Lehec, Yair Shenfeld, Ronen Eldan
Publication date: 15 February 2021
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.04522
Inequalities; stochastic orderings (60E15) Diffusion processes (60J60) Functional inequalities, including subadditivity, convexity, etc. (39B62)
Related Items (7)
Instability results for the logarithmic Sobolev inequality and its application to related inequalities ⋮ Global Optimization via Schrödinger–Föllmer Diffusion ⋮ Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality ⋮ Intrinsic dimensional functional inequalities on model spaces ⋮ A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality ⋮ Stability of Talagrand's Gaussian transport-entropy inequality via the Föllmer process ⋮ A trajectorial approach to relative entropy dissipation of McKean-Vlasov diffusions: gradient flows and HWBI inequalities
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