36 citations · 201 across the 31 of their papers we have counts for
32 papers
Subcritical limits of a 1D KPZ growth surface with finite moments
Dang-Zheng Liu, Fangzhou Luo, Tian Wu +1
We consider the one-dimensional random growth surface introduced by Adhikari and Chatterjee [AC24], where the height function is defined recursively via the heights at two neighbor…
Edge Universality for Inhomogeneous Random Matrices II: Markov Chain Comparison and Critical Statistics
Dang-Zheng Liu, Guangyi Zou
The first paper in this series introduced a \emph{short-to-long mixing} condition that captures mean-field GOE/GUE edge universality in the supercritical sparsity regime, for symme…
Phase transition of eigenvalues in deformed Ginibre ensembles
Dang-Zheng Liu, Lu Zhang
Consider a random matrix of size as an additive deformation of the complex Ginibre ensemble under a deterministic matrix with a finite rank, independent of . When some…
Phase transitions for products of characteristic polynomials under Dyson Brownian motion
Peter J. Forrester, Dang-Zheng Liu
We study the averaged products of characteristic polynomials for the Gaussian and Laguerre -ensembles with external source, and prove Pearcey-type phase transitions for particul…
Phase transitions for infinite products of large non-Hermitian random matrices
Dang-Zheng Liu, Yanhui Wang
Products of i.i.d. non-Hermitian random matrices of size relate Gaussian fluctuation of Lyapunov and stability exponents in dynamical systems (finite and large…
On Isomorphism theorems and reinforced loop soup
Yinshan Chang, Dang-Zheng Liu, Xiaolin Zeng
We show that supersymmetric (susy) hyperbolic isomorphism theorems that relate Vertex Reinforced Jump Processes and field, introduced in [2] and [3], are annealed version…