Quansheng Liu

activity

20082022

most citedExponential inequalities for martingales and asymptotic properties of the free energy of directed polymers in random environment

70 citations · 207 across the 35 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

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

Self-normalized Cramér type moderate deviations for stationary sequences and applications

Xiequan Fan, Ion Grama, Quansheng Liu +1

Let $(X_{i})_{i \geq 1}$ be a stationary sequence. Denote $m = ⌊ n^{α} ⌋, 0 < α < 1,$ and $k = ⌊ n / m ⌋,$ where $⌊ a ⌋$ stands for the integer part of $a .$ …

math.PR2020

Uniform Cramér moderate deviations and Berry-Esseen bounds for a supercritical branching process in a random environment

Xiequan Fan, Haijuan Hu, Quansheng Liu

Let ${Z_{n}, n \geq 0}$ be a supercritical branching process in an independent and identically distributed random environment. We prove Cramér moderate deviations and Berry-Esseen b…