@InProceedings{blanca_et_al:LIPIcs.APPROX/RANDOM.2021.47, author = {Blanca, Antonio and Sinclair, Alistair and Zhang, Xusheng}, title = {{The Critical Mean-Field Chayes-Machta Dynamics}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2021)}, pages = {47:1--47:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-207-5}, ISSN = {1868-8969}, year = {2021}, volume = {207}, editor = {Wootters, Mary and Sanit\`{a}, Laura}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2021.47}, URN = {urn:nbn:de:0030-drops-147408}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2021.47}, annote = {Keywords: Markov Chains, Mixing Times, Random-cluster Model, Ising and Potts Models, Mean-field, Chayes-Machta Dynamics, Random Graphs} }