Zhenhao Cai

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20242026

most citedOne-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension

1 citations · 1 across the 9 of their papers we have counts for

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math.PR2026

Scaling Limit of Critical Loop Soup Clusters in Three, Four, and Five Dimensions

Zhenhao Cai, Jian Ding

We prove that on the metric graph of $Z^{d}$ for $d \in {3, 4, 5}$ , clusters of the critical loop soup (or equivalently, clusters of the critical Gaussian free field level-se…

math.PR2026

Pool model: a mass preserving multi particle aggregation process

Zhenhao Cai, Eviatar B. Procaccia, Yuan Zhang

We present and study the Pool model in $R^{2}$ , a rotationally symmetric analogue of Multi-Particle Diffusion-Limited Aggregation (MDLA), in which particles ("droplets") per…