Theorem on selectors and its extensions

Prelegent(ci)

Witold Bednorz

Afiliacja

Uniwersytet Warszawski

Termin

27 października 2022 12:15

Pokój

p. 3160

Seminarium

Seminarium Zakładu Rachunku Prawdopodobieństwa

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I will present the analytical proof of the selectors theorem (in June I presented a much more combinatorial proof by Park and Pham). With the analytic approach, the argument is much clearer and shorter with much better constants. Let me remind you that this solves a quite important problem about the characterization of the mean value of suprema of positive Bernoulli-type processes, stated by Talagrand. I also intend to demonstrate how the result can be used to establish a similar mean value characterization of positive empirical processes and infinitely divisible processes. It is a joint work of Rafał Martynek, Rafał Meller and me.

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