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SUMMARY:Elizabeth Meckes (Case Western Reserve University)
DTSTART:20201013T143000Z
DTEND:20201013T153000Z
DTSTAMP:20260513T195538Z
UID:OxfordRMT/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OxfordRMT/1/
 ">Random Matrices with Prescribed Eigenvalues</a>\nby Elizabeth Meckes (Ca
 se Western Reserve University) as part of Oxford Random Matrix Theory Semi
 nars\n\n\nAbstract\nClassical random matrix theory begins with a random ma
 trix model and analyzes the distribution of the resulting eigenvalues.  In
  this work\, we treat the reverse question: if the eigenvalues are specifi
 ed but the matrix is "otherwise random"\, what do the entries typically lo
 ok like?  I will describe a natural model of random matrices with prescrib
 ed eigenvalues and discuss a central limit theorem for projections\, which
  in particular shows that relatively large subcollections of entries are j
 ointly Gaussian\, no matter what the eigenvalue distribution looks like.  
 I will discuss various applications and interpretations of this result\, i
 n particular to a probabilistic version of the Schur--Horn theorem and to 
 models of quantum systems in random states.  This work is joint with Mark 
 Meckes.\n\nPlease subscribe to our mailing list (https://lists.maths.ox.ac
 .uk/mailman/listinfo/random-matrix-theory-announce) and Zoom link will be 
 made available the day before.\n
LOCATION:https://researchseminars.org/talk/OxfordRMT/1/
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