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math.PR2022★ 1 cited
Central Limit Theorem in Disordered Monomer-Dimer Model
Wai-Kit Lam, Arnab Sen
We consider the disordered monomer-dimer model on general finite graphs with bounded degrees. Under the finite fourth moment assumption on the weight distributions, we prove a Gaus…
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 using i.i.d. nonnegative weights on the edges. Letting be the distance between vertice…