On the Randomized Horn Problem and the Surface Tension of Hives

Watch a technical mathematics lecture exploring the Horn problem and its randomized variant through the lens of hive theory, presented at UCLA's Institute for Pure & Applied Mathematics. Delve into the mathematical foundations of describing probability measures for spectra of Hermitian matrix sums using Knutson-Tao hives. Learn about new research findings on surface tension bounds for hives, closed-form expressions for total entropy in GUE eigenspectra cases, and empirical results from octahedron recurrence applications. Follow along as the speaker presents joint work examining asymptotic behaviors, large deviation principles, and numerical approximations in this advanced exploration of matrix theory and mathematical physics.