39 citations · 236 across the 26 of their papers we have counts for
18 papers · 1 filter
Universality for random matrices with equi-spaced external source: a case study of a biorthogonal ensemble
Tom Claeys, Dong Wang
We prove the edge and bulk universality of random Hermitian matrices with equi-spaced external source. One feature of our method is that we use neither a Christoffel-Darboux type f…
A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles
Dong Wang, Lun Zhang
In this paper, we consider Muttalib-Borodin ensemble of Laguerre type, a determinantal point process over which depends on the varying weights , ,…
Eigenvector distribution in the critical regime of BBP transition
Zhigang Bao, Dong Wang
In this paper, we study the random matrix model of Gaussian Unitary Ensemble (GUE) with fixed-rank (aka spiked) external source. We will focus on the critical regime of the Baik-Be…
Integral formulas of ASEP and -TAZRP on a ring
Zhipeng Liu, Axel Saenz, Dong Wang
In this paper, we obtain the transition probability formulas for the Asymmetric Simple Exclusion Process (ASEP) and the -deformed Totally Asymmetric Zero Range Process (-TAZR…
Lyapunov exponent, universality and phase transition for products of random matrices
Dang-Zheng Liu, Dong Wang, Yanhui Wang
Products of i.i.d. random matrices of size are related to classical limit theorems in probability theory ( and large ), to Lyapunov exponents in dynamical…
Distributions of a particle's position and their asymptotics in the -deformed totally asymmetric zero range process with site dependent jumping rates
Eunghyun Lee, Dong Wang
In this paper we study the probability distribution of the position of a tagged particle in the -deformed Totally Asymmetric Zero Range Process (-TAZRP) with site dependent j…