Wai-Kit Lam

activity

20172022

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Showing math.PRShow all

7 papers · 1 filter

math.PR2022

On the number and size of holes in the growing ball of first-passage percolation

Michael Damron, Julian Gold, Wai-Kit Lam +1

First-passage percolation is a random growth model defined on $Z^{d}$ using i.i.d. nonnegative weights $(τ_{e})$ on the edges. Letting $T (x, y)$ be the distance between vertice…

math.PR2021

Transitions for exceptional times in dynamical first-passage percolation

Michael Damron, Jack Hanson, David Harper +1

In first-passage percolation (FPP), we let $(τ_{v})$ be i.i.d. nonnegative weights on the vertices of a graph and study the weight of the minimal path between distant vertices. If $F…

math.PR2021

Near-critical avalanches in 2D frozen percolation and forest fires

Wai-Kit Lam, Pierre Nolin

We study two closely related processes on the triangular lattice: frozen percolation, where connected components of occupied vertices freeze (they stop growing) as soon as they con…

math.PR2020

Universality of Approximate Message Passing Algorithms

Wei-Kuo Chen, Wai-Kit Lam

We consider a broad class of Approximate Message Passing (AMP) algorithms defined as a Lipschitzian functional iteration in terms of an $n \times n$ random symmetric matrix $A$ . We…

math.PR2019

Universality of the time constant for $2 D$ critical first-passage percolation

Michael Damron, Jack Hanson, Wai-Kit Lam

We consider first-passage percolation (FPP) on the triangular lattice with vertex weights $(t_{v})$ whose common distribution function $F$ satisfies $F (0) = 1/2$ . This is known as the…