124 citations · 501 across the 39 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.PR2018
Random-cluster dynamics in : rapid mixing with general boundary conditions
Antonio Blanca, Reza Gheissari, Eric Vigoda
The random-cluster model with parameters is a random graph model that generalizes bond percolation () and the Ising and Potts models (). We study its Glauber…
cs.DM2018
Swendsen-Wang Dynamics for General Graphs in the Tree Uniqueness Region
Antonio Blanca, Zongchen Chen, Eric Vigoda
The Swendsen-Wang dynamics is a popular algorithm for sampling from the Gibbs distribution for the ferromagnetic Ising model on a graph . The dynamics is a "global" Markov…
cs.DM2018
Sampling in Uniqueness from the Potts and Random-Cluster Models on Random Regular Graphs
Antonio Blanca, Andreas Galanis, Leslie Ann Goldberg +3
We consider the problem of sampling from the Potts model on random regular graphs. It is conjectured that sampling is possible when the temperature of the model is in the uniquenes…