Zijie Zhuang

activity

20232026

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Showing 2025 · math.PRShow all

2 papers · 2 filters

math.PR2025

Weak exponential metrics for high-dimensional log-correlated Gaussian fields

Andres A. Contreras Hip, Zijie Zhuang

For log-correlated Gaussian fields on $R^{d}$ with $d \geq 2$ , Ding-Gwynne-Zhuang (2023) established the existence of subsequential limits of exponential metrics obtained fr…

math.PR2025

Bounds on the distance exponent for higher-dimensional Liouville first passage percolation

Andres A. Contreras Hip, Zijie Zhuang

For $ξ \geq 0$ and $d \geq 3$ , the higher-dimensional Liouville first passage percolation (LFPP) is a random metric on $ε Z^{d}$ obtained by reweighting each vertex by $e^{ξh_…