Hui Xu

collaborators

6 papers

math.AP2023

Observability and unique continuation inequalities for the Schrödinger equations with inverse-square potentials

Hui Xu, Longben Wei, Zhiwen Duan

This paper is inspired by Wang, Wang and Zhang's work [ Observability and unique continuation inequalities for the Schrödinger equation. J. Eur. Math. Soc. 21, 3513--3572 (2019)],…

stat.ME2023

Uncertainty Intervals for Prediction Errors in Time Series Forecasting

Hui Xu, Song Mei, Stephen Bates +2

Inference for prediction errors is critical in time series forecasting pipelines. However, providing statistically meaningful uncertainty intervals for prediction errors remains re…

math.DS2023

Groups acting distally and minimally on $S^{2}$ and $RP^{2}$

Enhui Shi, Hui Xu

Let $X$ be the $2$ -sphere $S^{2}$ or the real projective plane $RP^{2}$ . We show that if $Γ$ is a finitely generated group acting minimally and distally on $X$ , then…

math.DS2022

The structures of higher rank lattice actions on dendrites

Enhui Shi, Hui Xu

Let $Γ$ be a higher rank lattice acting on a nondegenerate dendrite $X$ with no infinite order points. We show that there exists a nondegenerate subdendrite $Y$ which is $Γ$ -invari…

math.DS2022

On structure theorems and non-saturated examples

Qinqi Wu, Hui Xu, Xiangdong Ye

For any minimal system $(X, T)$ and $d \geq 1$ there is an associated minimal system $(N_{d} (X), G_{d} (T))$ , where $G_{d} (T)$ is the group generated by $T\times\c…

math.DS2022

The structure of pointwise recurrent expansive homeomorphisms

Enhui Shi, Hui Xu, Ziqi Yu

Let $X$ be a compact metric space and let $f : X \to X$ be a homeomorphism on $X$ . We show that if $f$ is both pointwise recurrent and expansive, then the dynamical system $(X…

Observability and unique continuation inequalities for the Schrödinger equations with inverse-square potentials

Uncertainty Intervals for Prediction Errors in Time Series Forecasting

Groups acting distally and minimally on S2 and RP2

The structures of higher rank lattice actions on dendrites

On structure theorems and non-saturated examples

The structure of pointwise recurrent expansive homeomorphisms

Groups acting distally and minimally on $S^{2}$ and $RP^{2}$