Wai-Kit Lam

activity

20172022

collaborators

6 papers

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…

math.PR2019

Order of Fluctuations of the Free Energy in the SK Model at Critical Temperature

Wei-Kuo Chen, Wai-Kit Lam

We present an elementary approach to the order of fluctuations for the free energy in the Sherrington-Kirkpatrick mean field spin glass model at and near the critical temperature.…

math.PR2017

The size of the boundary in first-passage percolation