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SUMMARY:Kac-Rice inspired approach to non-Hermitian random matrices [Obers
 eminar Stochastics]
DTSTART:20250710T143000Z
DTEND:20250710T153000Z
DTSTAMP:20260514T105000Z
UID:indico-event-544@math-events.uni-bonn.de
DESCRIPTION:Speakers: Yan Fyodorov (King’s College London)\n\nBeyond the
  framework of standard Ginibre ensembles one of the general toolsavailable
  for studying non-Hermitian random matrices is the "HermitizationTrick" du
 e to Girko. I will describe an alternative approach based on Kac-Ricecount
 ing formulas which provides access not only to eigenvalues but also tonont
 rivial right eigenvectors of non-Hermitian random matrices. To illustratep
 ower of the approach I will consider a family of matrices interpolating be
 -tween complex Ginibre and real Ginibre ensembles\, which in particular al
 lowsone to reveal a new scaling regime of "weak non-reality" arising as $N
  → \\infty$.This part will be based on the recent preprint arXiv:2506.21
 058. If time allows\,I will also briefly discuss some results on notorious
 ly difficult case of complexsymmetric matrices\, obtained by the same meth
 od in collaboration with Ger-not Akemann and Dmitry Savin.\n\nhttps://math
 -events.uni-bonn.de/event/544/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/544/
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