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On the asymptotic behaviour of the optimal constants in the Khinchine-Kahane inequality

Speaker(s)
Krzysztof Oleszkiewicz
Affiliation
Uniwersytet Warszawski
Date
Jan. 18, 2024, 12:15 p.m.
Room
room 3160
Seminar
Seminar of Probability Group

We will discuss some recent progress in understanding the asymptotic behaviour of the optimal constants in the Khinchine-Kahane inequality between p-th and q-th moments of Rademacher sums. The talk will mostly deal with the most interesting case of q=1 and p tending to infinity.