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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.PR2024
Planting and MCMC Sampling from the Potts model
Andreas Galanis, Leslie Ann Goldberg, Paulina Smolarova
We consider the problem of sampling from the ferromagnetic -state Potts model on the random -regular graph with parameter . A key difficulty that arises in sampling from…
math.PR2023
Sampling from the random cluster model on random regular graphs at all temperatures via Glauber dynamics
Andreas Galanis, Leslie Ann Goldberg, Paulina Smolarova
We consider the performance of Glauber dynamics for the random cluster model with real parameter and temperature . Recent work by Helmuth, Jenssen and Perkins detailed t…