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SUMMARY:Elizabeth Meckes (Case Western Reserve University)
DTSTART:20200623T143000Z
DTEND:20200623T153000Z
DTSTAMP:20260423T021112Z
UID:OAGAS/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OAGAS/21/">O
 n the eigenvalues of Brownian motion on \\mathbb{U}(n)</a>\nby Elizabeth M
 eckes (Case Western Reserve University) as part of Online asymptotic geome
 tric analysis seminar\n\n\nAbstract\nMuch recent work in the study of rand
 om matrices has focused on the non-asymptotic theory\; that is\, the study
  of random matrices of fixed\, large size. I will discuss one such example
 : the eigenvalues of unitary Brownian motion. I will describe an approach 
 which gives uniform quantitative almost-sure estimates over fixed time int
 ervals of the distance between the random spectral measures of this parame
 trized family of random matrices and the corresponding measures in a deter
 ministic parametrized family \\{\\nu_t\\}_{t\\ge 0} of large-n limiting me
 asures. I will also discuss larger time scales. This is joint work with Ta
 i Melcher.\n
LOCATION:https://researchseminars.org/talk/OAGAS/21/
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