Quansheng Liu

collaborators

2 papers

math.PR2025

Convergence to Stable Laws and a Local Limit Theorem for Products of Positive Random Matrices

Jianzhang Mei, Quansheng Liu

We consider the products $G_{n} = A_{n} \dots A_{1}$ of independent and identical distributed nonnegative $d \times d$ matrices $(A_{i})_{i \geq 1}$ . For any starting point $x \in \mathbb…

math.PR2024

Support, absolute continuity and harmonic moments of fixed points of the multivariate smoothing transform

Jianzhang Mei, Quansheng Liu

Consider the multivariate smoothing transform fixed-point equation: $I^\cdot =$ law of $\sum_{i = 1}^{N} A_{i} Z_{i}$ , where $N \geq 0$ is a random integer, $(A_{i})_{i \geq 1}$ are $d \times d$ …