21 citations · 35 across the 6 of their papers we have counts for
7 papers
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…
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…
Beta Jacobi ensembles and associated Jacobi polynomials, II
Fumihiko Nakano, Hoang Dung Trinh, Khanh Duy Trinh
In a high temperature regime, it was shown in Trinh--Trinh (\emph{J.\ Stat.\ Phys.}\ \textbf{185}(1), Paper No.\ 4, 15 (2021)) that the empirical distribution of beta Jacobi ensemb…
Limit theorems for moment processes of beta Dyson's Brownian motions and beta Laguerre processes
Fumihiko Nakano, Hoang Dung Trinh, Khanh Duy Trinh
In the regime where the parameter beta is proportional to the reciprocal of the system size, it is known that the empirical distribution of Gaussian beta ensembles (resp.\ beta Lag…
Beta Jacobi ensembles and associated Jacobi polynomials
Hoang Dung Trinh, Khanh Duy Trinh
Beta ensembles on the real line with three classical weights (Gaussian, Laguerre and Jacobi) are now realized as the eigenvalues of certain tridiagonal random matrices. The paper d…
Beta Laguerre processes in a high temperature regime
Hoang Dung Trinh, Khanh Duy Trinh
Beta Laguerre processes which are generalizations of the eigenvalue process of Wishart/Laguerre processes can be defined as the square of radial Dunkl processes of type B. In this…
Beta Laguerre ensembles in global regime
Hoang Dung Trinh, Khanh Duy Trinh
Beta Laguerre ensembles which are generalizations of Wishart ensembles and Laguerre ensembles can be realized as eigenvalues of certain random tridiagonal matrices. Analogous to th…