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math.PR2026
Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model
Antonio Blanca, Md Tahmidur Rafid
We study the mixing time of the systematic scan dynamics for the -state ferromagnetic Potts model on the -vertex complete graph, known as the mean-field model. This Markov ch…
math.PR2026
Uniqueness and Mixing in the Low-Temperature Random-Cluster Model on Trees and Random Graphs
Antonio Blanca, Reza Gheissari, Heehyun Park +1
We study the random-cluster model on trees and treelike graphs at low temperatures. This is a model of dependent percolation parametrized by an edge probability and a…
math.PR2025
Cutoff for the Swendsen-Wang dynamics on the complete graph
Antonio Blanca, Zhezheng Song
We study the speed of convergence of the Swendsen-Wang (SW) dynamics for the -state ferromagnetic Potts model on the -vertex complete graph, known as the mean-field model. Th…