Imre Katai's Insights on Uniform Distribution Mod 1: Key Results and Open Challenges 📊

Abstract: Given a fixed integer q≥2, an irrational number ξ is said to be a q-normal number if any preassigned sequence of k digits occurs in the q-ary expansion of ξ with the expected frequency, that is 1/qk. In this talk, we expose new methods that allow for the construction of large families of normal numbers. This is joint work with Professor Jean-Marie De Koninck.

Recording during the meeting "6th International Conference on Uniform Distribution Theory " the October 3, 2018 at the Centre International de Rencontres Mathématiques (Marseille, France)

Filmmaker: Guillaume Hennenfent

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