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 2021Show all

3 papers · 1 filter

math.PR2021★ 3 cited

Limit theorems 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 random elements with law $μ$ on the general linear group $GL (V)$ , where $V = R^{d}$ . Con…

math.DS2021★ 3 cited

Conditioned limit theorems for hyperbolic dynamical systems

Ion Grama, Jean-François Quint, Hui Xiao

Let $(X, T)$ be a subshift of finite type equipped with the Gibbs measure $ν$ and let $f$ be a real-valued Hölder continuous function on $X$ such that $ν (f) = 0$ . C…

math.PR2021★ 6 cited

Conditioned local limit theorems for random walks on the real line

Ion Grama, Hui Xiao

Consider a random walk $S_{n} = \sum_{i = 1}^{n} X_{i}$ with independent and identically distributed real-valued increments $X_{i}$ of zero mean and finite variance. Assume that $X_{i}$ is non-l…