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SUMMARY:The limiting spectral law of sparse iid matrices - Julian Sahasrab
 udhe (University of Cambridge)
DTSTART:20240411T130000Z
DTEND:20240411T140000Z
UID:TALK214009@talks.cam.ac.uk
DESCRIPTION:Let A be an n by n matrix where each entry is independent and 
 takes 1 with probability p\, and 0 otherwise. In this talk we will be inte
 rested in the general "shape" that the distribution of eigenvalues of A ha
 s in the complex plane. While the study of these distributions goes back t
 o the work of Wigner in the 1950s\, many basic questions are still not und
 erstood. Indeed\, for small p\, it is not even known if this limiting "sha
 pe" converges to a deterministic distribution as n tends to infinity. Here
  I will discuss the recent resolution of this problem. Based on joint work
  Ashwin Sah and Mehtaab Sawhney.
LOCATION:Seminar Room 1\, Newton Institute
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