Alexander Its | Toeplitz determinants and Painlevé transcendents | Lecture 2 of 4 скачать в хорошем качестве

Alexander Its | Toeplitz determinants and Painlevé transcendents | Lecture 2 of 4

These are warm-up mini-courses for the EIMI thematic program on Spectral Theory and Mathematical Physics to be held in 2021. For more information, visit https://indico.eimi.ru/e/STMP21MiniCo.... T O E P L I T Z D E T E R M I N A N T S A N D P A I N L E V É T R A N S C E N D E N T S. R I E M A N N – H I L B E R T P O I N T O F V I E W by Alexander Its (IUPUI & SPbU) 2-3 December, 2020 In this mini course, the essence of the Riemann-Hilbert method in the theory of Topelitz determinants will be presented. The focus will be on the use of the method to obtain the Painlevé type description of the transition asymptotics of Toeplitz determinants. The Riemann-Hilbert view on the Painlevé functions will be also explained.