Hui Xiao

activity

20172026

most citedA zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group

13 citations · 53 across the 20 of their papers we have counts for

collaborators

Showing 2020 · math.PRShow all

3 papers · 2 filters

math.PR2020★ 6 cited

Berry-Esseen bounds and moderate deviations for the norm, entries and spectral radius of products of positive random matrices

Hui Xiao, Ion Grama, Quansheng Liu

Let $(g_{n})_{n \geq 1}$ be a sequence of independent and identically distributed positive random $d \times d$ matrices and consider the matrix product $G_{n} := g_{n} \dots g_{1}$ . Under…

math.PR2020★ 7 cited

Large deviation expansions for the coefficients of random walks on the general linear group

Hui Xiao, Ion Grama, Quansheng Liu

Let $(g_{n})_{n \geq 1}$ be a sequence of independent and identically distributed elements of the general linear group $G L (d, R)$ . Consider the random walk $G_n: = g_n \ldots…

math.PR2020★ 13 cited

A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group

Ion Grama, Jean-François Quint, Hui Xiao

We prove a zero-one law for the stationary measure for algebraic sets generalizing the results of Furstenberg [13] and Guivarc'h and Le Page [20]. As an application, we establish a…