The PDEs and Applications seminar: Central Limit Theorem for linear statistics for orthogonal polynomial ensembles on the unit circle

  • Date: –12:00
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
  • Lecturer: Rostyslav Kozhan
  • Organiser: Matematiska institutionen
  • Contact person: Kaj Nyström
  • Seminarium

Abstract: We prove a Central Limit Theorem for linear statistics for orthogonal polynomial ensembles on the unit circle. This can also be viewed as a relative version of the famous Strong Szego Theorem for Toeplitz determinants.

The talk will include an introduction to Toeplitz determinants and to orthogonal polynomials on the unit circle.

Joint work with M.Duits (KTH).