Abstract
We consider the problem of sampling from the ferromagnetic Potts and random-cluster models on a general family of random graphs via the Glauber dynamics for the random-cluster model. The random-cluster model is parametrized by an edge probability
The family of random graph models we consider includes the Erdős–Rényi random graph
Funding Statement
The research of A.B. was supported in part by NSF Grants CCF-1850443 and CCF-2143762.
R.G. thanks the Miller Institute for Basic Research in Science for its support.
Acknowledgments
The authors thank the anonymous referees for their helpful comments.
Citation
Antonio Blanca. Reza Gheissari. "Sampling from Potts on random graphs of unbounded degree via random-cluster dynamics." Ann. Appl. Probab. 33 (6B) 4997 - 5049, December 2023. https://doi.org/10.1214/23-AAP1939
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