Convexity Seminar

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On isotropic log-concave random matrices

Speaker: Stephanie Mui, Georgia Institute of Technology

Location: Warren Weaver Hall 1302

Date: Tuesday, April 7, 2026, 11 a.m.

Synopsis:

I will discuss some concentration inequalities on the largest and smallest singular values of jointly log-concave isotropic random matrices. In particular, we prove sharp lower tail estimates for such matrices in the cases of (1) entries being drawn from unconditional distributions, (2) independent columns, and (3) sufficiently tall dimensions.  Results are from joint works with Manuel Fernandez, Galyna Livshyts, and Santosh Vempala.