BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tom Claeys (Universite catholique de louvain) DTSTART:20201124T153000Z DTEND:20201124T163000Z DTSTAMP:20260513T195539Z UID:OxfordRMT/8 DESCRIPTION:Title: Asymptotics for averages over classical orthogonal ensembles\nby Tom Claeys (Universite catholique de louvain) as part of Oxford Random Matrix Theory Seminars\n\n\nAbstract\nAverages of multiplicative eigenvalue stat istics of Haar distributed unitary matrices are Toeplitz determinants\, an d asymptotics for these determinants are now well understood for large cla sses of symbols\, including symbols with gaps and (merging) Fisher-Hartwig singularities. Similar averages for Haar distributed orthogonal matrices are Toeplitz+Hankel determinants. Some asymptotic results for these determ inants are known\, but not in the same generality as for Toeplitz determin ants. I will explain how one can systematically deduce asymptotics for ave rages in the orthogonal group from those in the unitary group\, using a tr ansformation formula and asymptotics for certain orthogonal polynomials on the unit circle\, and I will show that this procedure leads to asymptotic results for symbols with gaps or (merging) Fisher-Hartwig singularities. The talk will be based on joint work with Gabriel Glesner\, Alexander Mina kov and Meng Yang.\n LOCATION:https://researchseminars.org/talk/OxfordRMT/8/ END:VEVENT END:VCALENDAR