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math.PR2026
Beta Ensembles in the Freezing Regime and Finite Free Convolutions
Fumihiko Nakano, Khanh Duy Trinh, Ziteng Wang
In the freezing regime where the system size N is fixed and the inverse temperature beta tends to infinity, the eigenvalues of Gaussian beta ensembles converge to zeros of the Nth…
math-ph2026
The spectral measures of random Jacobi matrices related to beta ensembles at high temperature and Dirichlet processes
Fumihiko Nakano, Hoang Dung Trinh, Khanh Duy Trinh
In a high temperature regime where , the empirical distribution of the eigenvalues of Gaussian beta ensembles, beta Laguerre ensembles and beta Jacobi ensembles converge…