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Stability of Khintchine-type inequalities revisited
- Speaker(s)
- Jacek Jakimiuk
- Affiliation
- University of Warsaw
- Language of the talk
- English
- Date
- Jan. 8, 2026, 12:15 p.m.
- Room
- room 3160
- Title in Polish
- Stability of Khintchine-type inequalities revisited
- Seminar
- Seminar of Probability Group
I give several results on stability of certain Khintchine-type inequalities for Rademacher random variables and random vectors uniform on Euclidean spheres. By stability we mean an inequality strengthened by some positive deficit depending on distance from the extremizer. I will discuss the results from the papers "Stability of Khintchine inequalities with optimal constants between the second and the p-th moment for $p \ge 3$" (arXiv:2503.07001) and "Khinchin inequalities for uniforms on spheres with a deficit" (arXiv:2506.22040), focusing mostly on the second one.
The talk will be closely related to my previous talk given on March 20th, 2025, but there is no need to remember its content. Based on joint work with Colin Tang and Tomasz Tkocz.
