Zhongyang Li

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20232026

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4 papers · 1 filter

math.PR2026

A Randomized Approximation Algorithm for Doubly Free-Boundary Macdonald Processes

Zhongyang Li

We construct an approximate sampler for finite doubly free-boundary Macdonald rail-yard processes with Macdonald, boundary, and edge parameters in $(0, 1)$ . The construction allows…

math.CO2026

Self-avoiding walks on cubic graphs and local transformations

Benjamin Grant, Zhongyang Li

Despite its elementary definition, the self-avoiding walk (SAW) poses notoriously hard enumerative problems: exact connective constants are known for only a handful of infinite gra…

math.PR2026

Planar Site Percolation, End Structure, and the Benjamini-Schramm Conjecture

Zhongyang Li

Let $G$ be an infinite, connected, locally finite planar graph and consider i.i.d.\ Bernoulli $(p)$ site percolation. Write $p_{c}^{site} (G)$ and $p_{u}^{site} (G)$ for…

math.PR2026

Recursive Packing Bounds for Supercritical Disconnection in Bernoulli Site Percolation

Zhongyang Li

For Bernoulli site percolation on an infinite, connected, locally finite graph $G = (V, E)$ , we obtain quantitative upper bounds on the supercritical disconnection probability \[ \mat…