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SUMMARY:Kac-Rice approach to non-Hermitian random matrices
DTSTART:20250411T141500Z
DTEND:20250411T161500Z
DTSTAMP:20260520T191300Z
UID:indico-event-231@indico.physik.uni-bielefeld.de
DESCRIPTION:Speakers: Yan Fyodorov\n\nNon-Hermitian random matrices attrac
 ted considerable interestin recent years as a tool to characterize Quantu
 m Chaos in dissipative systems. Beyond the framework of standard Ginibre 
 ensembles one of the general tools available for studying such matrices i
 s the "Hermitization Trick" due to Girko.  I will describe an altern
 ative approach based on Kac-Rice formula which provides access not only 
 to eigenvalues but also to nontrivial eigenvectors of non-Hermitian rando
 m matrices. To illustrate this approach I will consider a family of matri
 ces interpolating  between complex Ginibre and real Ginibre ensembles\, 
 which in particular allows to reveal a new scaling regime of "weak complex
 ity".\n\nhttps://indico.physik.uni-bielefeld.de/event/231/
LOCATION:D5-153 (UHG)
URL:https://indico.physik.uni-bielefeld.de/event/231/
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