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 2019 · math.PRShow all

4 papers · 2 filters

math.PR2019★ 4 cited

Cramér moderate deviation expansion for martingales with one-sided Sakhanenko's condition and its applications

Xiequan Fan, Ion Grama, Quansheng Liu

We give a Cramér moderate deviation expansion for martingales with differences having finite conditional moments of order $2 + ρ, ρ \in (0, 1],$ and finite one-sided conditional expone…

math.PR2019

Precise large deviation asymptotics for products of random matrices

Hui Xiao, Ion Grama, Quansheng Liu

Let $(g_{n})_{n \geq 1}$ be a sequence of independent identically distributed $d \times d$ real random matrices with Lyapunov exponent $γ$ . For any starting point $x$ on the unit sph…

math.PR2019★ 3 cited

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…

math.PR2019

On $L^{p}$ -convergence of the Biggins martingale with complex parameter

Alexander Iksanov, Xingang Liang, Quansheng Liu

We prove necessary and sufficient conditions for the $L^{p}$ -convergence, $p > 1$ , of the Biggins martingale with complex parameter in the supercritical branching random walk. The resu…

Cramér moderate deviation expansion for martingales with one-sided Sakhanenko's condition and its applications

Precise large deviation asymptotics for products of random matrices

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

On Lp-convergence of the Biggins martingale with complex parameter

On $L^{p}$ -convergence of the Biggins martingale with complex parameter