3 papers
math.PR2025
Subdiffusive concentration for the chemical distance in Bernoulli percolation
Van Hao Can, Van Quyet Nguyen
Considering supercritical Bernoulli percolation on , Garet and Marchand [GM09] proved a diffusive concentration for the graph distance. In this paper, we sharpen this…
math.PR2025
Random cluster models on random graphs
Van Hao Can, Remco van der Hofstad
On locally tree-like random graphs, we relate the random cluster model with external magnetic fields and to Ising models with vertex-dependent external fields. The fact t…
math.PR2025
Mean-field spin models -- Fluctuation of the magnetization and maximum likelihood estimator
Van Hao Can, Adrian Röllin
Consider the mean-field spin models where the Gibbs measure of each configuration depends only on its magnetization. Based on the Stein and Laplace methods, we give a new and short…