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Muttalib--Borodin ensembles in random matrix theory --- realisations and correlation functions

- P. Forrester, Dong Wang
- Mathematics
- 25 February 2015

Muttalib--Borodin ensembles are characterised by the pair interaction term in the eigenvalue probability density function being of the form $\prod_{1 \le j 0$, realisations in terms of the eigenvalue… Expand

Fluctuations of TASEP and LPP with general initial data

- Ivan Corwin, Zhipeng Liu, Dong Wang
- Mathematics
- 16 December 2014

We prove Airy process variational formulas for the one-point probability distribution of (discrete time parallel update) TASEP with general initial data, as well as last passage percolation from a… Expand

The Largest Eigenvalue of Real Symmetric, Hermitian and Hermitian Self-dual Random Matrix Models with Rank One External Source, Part I

- Dong Wang
- Mathematics
- 19 December 2010

We consider the limiting location and limiting distribution of the largest eigenvalue in real symmetric (β=1), Hermitian (β=2), and Hermitian self-dual (β=4) random matrix models with rank 1 external… Expand

Bulk and soft-edge universality for singular values of products of Ginibre random matrices

- Dang-Zheng Liu, Dong Wang, Lun Zhang
- Mathematics
- 21 December 2014

It has been shown by Akemann, Ipsen and Kieburg that the squared singular values of products of $M$ rectangular random matrices with independent complex Gaussian entries are distributed according to… Expand

Random Matrices with Equispaced External Source

We study Hermitian random matrix models with an external source matrix which has equispaced eigenvalues, and with an external field such that the limiting mean density of eigenvalues is supported on… Expand

Nonintersecting Brownian motions on the unit circle

- Karl Liechty, Dong Wang
- Mathematics
- 28 December 2013

We consider an ensemble of n nonintersecting Brownian particles on the unit circle with diffusion parameter n−1/2, which are conditioned to begin at the same point and to return to that point after… Expand

Lyapunov exponent, universality and phase transition for products of random matrices

- Dang-Zheng Liu, Dong Wang, Yanhui Wang
- Mathematics
- 30 September 2018

We solve the problem on local statistics of finite Lyapunov exponents for $M$ products of $N\times N$ Gaussian random matrices as both $M$ and $N$ go to infinity, proposed by Akemann, Burda, Kieburg… Expand

Random matrix minor processes related to percolation theory

- M. Adler, P. Moerbeke, Dong Wang
- Mathematics
- 29 January 2013

This paper studies a number of matrix models of size n and the associated Markov chains for the eigenvalues of the models for consecutive n's. They are consecutive principal minors for two of the… Expand

The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates ?

In this paper we consider the q-deformed totally asymmetric zero range process (q-TAZRP), also known as the q-boson (stochastic) particle system, on the Z lattice, such that the jump rate of a… Expand

Propagation of Singular Behavior for Gaussian Perturbations of Random Matrices

- T. Claeys, A. Kuijlaars, Karl Liechty, Dong Wang
- MathematicsCommunications in Mathematical Physics
- 20 August 2016

We study the asymptotic behavior of the eigenvalues of Gaussian perturbations of large Hermitian random matrices for which the limiting eigenvalue density vanishes at a singular interior point or… Expand

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