@InProceedings{blanca_et_al:LIPIcs.APPROX/RANDOM.2023.53, author = {Blanca, Antonio and Zhang, Xusheng}, title = {{Rapid Mixing of Global Markov Chains via Spectral Independence: The Unbounded Degree Case}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2023)}, pages = {53:1--53:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-296-9}, ISSN = {1868-8969}, year = {2023}, volume = {275}, editor = {Megow, Nicole and Smith, Adam}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2023.53}, URN = {urn:nbn:de:0030-drops-188789}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2023.53}, annote = {Keywords: Markov chains, Spectral Independence, Potts model, Mixing Time} }