Xiaojing Chen

collaborators

2 papers

math.FA2026

Rellich-Kondrachov type theorems on the half-space with general singular weights

Yunfan Zhao, Xiaojing Chen

We prove Rellich-Kondrachov type theorems on the half-space $H^{N + 1} = {(y, x) \in R \times R^{N} : y > 0}$ endowed with the general weighted meas…

math.PR2025

Limit theorems for Markov walks conditioned to stay positive in the $I^\pm$ -stable regime under a spectral gap assumption

Yunfan Zhao, Xiaojing Chen

Let $(X_{n})_{n \geq 1}$ be a Markov chain on a measurable state space $X$ , and let $S_{n} = \sum_{k = 1}^{n} f (X_{k})$ be the associated Markov walk. For $y > 0$ , denote by $I ¨ _{y}$ the first tim…

Rellich-Kondrachov type theorems on the half-space with general singular weights

Limit theorems for Markov walks conditioned to stay positive in the I^±-stable regime under a spectral gap assumption

Limit theorems for Markov walks conditioned to stay positive in the $I^\pm$ -stable regime under a spectral gap assumption