Quansheng Liu

collaborators

2 papers

math.PR2025

Edgeworth expansion and large deviations for the coefficients of products of positive random matrices

Hui Xiao, Ion Grama, Quansheng Liu

Consider the matrix products $G_{n} := g_{n} \dots g_{1}$ , where $(g_{n})_{n \geq 1}$ is a sequence of independent and identically distributed positive random $d \times d$ matrices. Under…

math.PR2025

Berry-Esseen bound and precise moderate deviations for products of random matrices

Hui Xiao, Ion Grama, Quansheng Liu

Let $(g_{n})_{n \geq 1}$ be a sequence of independent and identically distributed (i.i.d.) $d \times d$ real random matrices. For $n \geq 1$ set $G_{n} = g_{n} \dots g_{1}$ . Given any star…