Alexander Bufetov - SEMINARI DI ANALISI - April 5, 2018
Centro di Ricerca Matematica Ennio De Giorgi
Alexander Bufetov
CNRS, Institute de Mathématiques de Marseille and Steklov Mathematical Institute, Moscow
Seminari di Analisi 2017/2018
Gabor Szego proved the first version of this theorem when he was 20, and he proved it in a stronger version when he was 57.
He established asymptotic properties of Toeplitz determinants which nowadays are of crucial importance in many fields.
In fact, Szego theorem can be proved in many ways: via mathematical analysis (Szego, Ibragimov, Widom, Basor-Helton, Deift), with an algebraic approach (Geronimo-Case-Borodin-Okounkov), or else using representation theory arguments (Bump-Diaconis) or statistical mechanics (Johansson).
https://www.dm.unipi.it/webnew/en/aul...