Wai-Kit Lam

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math.PR2026

Correlation Decay for Maximum Weight Matchings on Sparse Graphs

Wai-Kit Lam, Arnab Sen

We study correlation decay for the maximum weight matching problem on sparse graphs with i.i.d. edge weights. We show exponential decay of correlations when the underlying graphs a…

math.PR2025

Moderate deviations in first-passage percolation for bounded weights

Wai-Kit Lam, Shuta Nakajima

We investigate the moderate and large deviations in first-passage percolation (FPP) with bounded weights on $Z^{d}$ for $d \geq 2$ . Write $T (x, y)$ for the…

math.PR2025

Estimates for the empirical distribution along a geodesic in first-passage percolation

Michael Damron, Jack Hanson, Christopher Janjigian +2

In first-passage percolation, we assign i.i.d.~nonnegative weights $(t_{e})$ to the nearest-neighbor edges of $Z^{d}$ and study the induced pseudometric $T = T (x, y)$ . In this…

math.PR2025

Asymptotics for first-passage percolation on logarithmic subgraphs of $Z^{2}$

Michael Damron, Wai-Kit Lam

For $a > 0$ and $b \geq 0$ , let $G_{a, b}$ be the subgraph of $Z^{2}$ induced by the vertices between the first coordinate axis and the graph of the function $f = f_{a…

Correlation Decay for Maximum Weight Matchings on Sparse Graphs

Moderate deviations in first-passage percolation for bounded weights

Estimates for the empirical distribution along a geodesic in first-passage percolation

Asymptotics for first-passage percolation on logarithmic subgraphs of Z2

Asymptotics for first-passage percolation on logarithmic subgraphs of $Z^{2}$