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SUMMARY:Dangzheng Liu/刘党政 (USTC)
DTSTART:20201229T091500Z
DTEND:20201229T100000Z
DTSTAMP:20260423T041343Z
UID:iccm2020/91
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/iccm2020/91/
 ">Phase transitions for infinite products of large non-Hermitian random ma
 trices</a>\nby Dangzheng Liu/刘党政 (USTC) as part of ICCM 2020\n\n\nAb
 stract\nProducts of M i.i.d. random matrices of size N relate classical li
 mit theorems in Probability Theory (large M and N=1) to Lyapunov exponents
  in Dynamical Systems (large M and finite N)\, and to universality in Rand
 om Matrix Theory (finite M and large N). Under the two different limits of
  large M and large N\, the  eigenvalue statistics for the random matrix pr
 oduct display Gaussian and  non-Hermitian RMT  universality\, respectively
 . However\, what happens if both M and N go to infinity simultaneously? Th
 is problem lies at the heart of understanding two kinds of universal limit
 s.  In this talk we examine it and investigate possible phase transitions 
 and critical phenomena.\n
LOCATION:https://researchseminars.org/talk/iccm2020/91/
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