3 papers
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 converg…
math.PR2025
Classical beta ensembles and related eigenvalues processes at high temperature and the Markov--Krein transform
Fumihiko Nakano, Hoang Dung Trinh, Khanh Duy Trinh
The aim of this paper is to identify the limit in a high temperature regime of classical beta ensembles on the real line and related eigenvalue processes by using the Markov--Krein…