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math.PR2026
Large deviations of the periodic Toda chain
Tamara Grava, Alice Guionnet, Karol K. Kozlowski +1
This work establishes a large deviation principle for the spectral measure of the Lax matrix associated to the periodic Toda chain of particles, subject to a generalised Gibbs…
math.PR2021★ 11 cited
On the number of real eigenvalues of a product of truncated orthogonal random matrices
Alex Little, Francesco Mezzadri, Nick Simm
Let be chosen uniformly at random from the group of orthogonal matrices. Denote by the upper-left corner of , which we refer to…