Showing math.PRShow all
3 papers · 1 filter
math.PR2026
Fast Mixing for Low-Temperature Potts Models via Poisson Trees
Zongchen Chen, Andreas Galanis, Leslie Ann Goldberg +3
The -state ferromagnetic Potts model on a graph is a probability distribution on all -colourings of that favours many monochromatic edges. Approximate sampling from t…
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
Mean-field Potts and random-cluster dynamics from high-entropy initializations
Antonio Blanca, Reza Gheissari, Xusheng Zhang
A common obstruction to efficient sampling from high-dimensional distributions with Markov chains is the multimodality of the target distribution because they may get trapped far f…