1 citations · 1 across the 2 of their papers we have counts for
8 papers
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…
Random connection models in the thermodynamic regime: central limit theorems for add-one cost stabilizing functionals
Van Hao Can, Khanh Duy Trinh
The paper deals with a random connection model, a random graph whose vertices are given by a homogeneous Poisson point process on , and edges are independently drawn…
Poisson statistics for beta ensembles on the real line at high temperature
Fumihiko Nakano, Khanh Duy Trinh
This paper studies beta ensembles on the real line in a high temperature regime, that is, the regime where , with the system size and the inve…
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…
On persistent homology of random Čech complexes
Khanh Duy Trinh
The paper studies the relation between critical simplices and persistence diagrams of the Čech filtration. We show that adding a critical -simplex into the filtration correspond…
Strong law of large numbers for Betti numbers in the thermodynamic regime
Akshay Goel, Khanh Duy Trinh, Kenkichi Tsunoda
We establish the strong law of large numbers for Betti numbers of random Čech complexes built on -valued binomial point processes and related Poisson point processes i…