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The spectrum of some nonlinear random matrices

February 9, 2024 @ 12:00 pm - 1:00 pm

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CMSA Member Seminar

Speaker: Benjamin McKenna (Harvard)

Title: The spectrum of some nonlinear random matrices

Abstract: Modern data science often requires one to consider “nonlinear random matrices,” a broad term for random-matrix models whose construction involves a nonlinear function applied entrywise. Such models are typically far from classical random matrix theory, and in principle entrywise nonlinearities can affect the eigenvalues in a complicated way. However, recent years have seen a number of results on nonlinear models whose spectrum is surprisingly simple. We give one such result, emphasizing general random-matrix techniques like free probability and orthogonal polynomials. Joint work with Sofiia Dubova, Yue M. Lu, and Horng-Tzer Yau.


February 9, 2024
12:00 pm - 1:00 pm
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Benjamin McKenna
Iacopo Brivio
Tomer Ezra


CMSA Room G10
CMSA, 20 Garden Street
Cambridge, MA 02138 United States
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