Ruizhe Xu

collaborators

2 papers

math.CV2026

Non-symmetric vector dyson equations

Jiaoyang Huang, Zhonggen Su, Ruizhe Xu

We study the vector Dyson equation $- \frac{1}{m ( z )} = z 1 + a + S m (z),$ with parameter $z$ in the complex upper half-plane $C_{+}$ , where $\mathbf{a}\in\mathbb…

math.PR2025

Coupling between Brownian motion and random walks on the infinite percolation cluster

Chenlin Gu, Zhonggen Su, Ruizhe Xu

For the supercritical Bernoulli bond percolation on $Z^{d}$ ( $d \geq 2$ ), we give a coupling between the random walk on the infinite cluster and its limit Brownian motion, s…