Gamarnik, David Correlation decay and the absence of zeros property of partition functions. (English) Zbl 1522.05467 Random Struct. Algorithms 62, No. 1, 155-180 (2023). MSC: 05C85 68W25 82B20 PDFBibTeX XMLCite \textit{D. Gamarnik}, Random Struct. Algorithms 62, No. 1, 155--180 (2023; Zbl 1522.05467) Full Text: DOI arXiv OA License
Anari, Nima; Liu, Kuikui; Gharan, Shayan Oveis Spectral independence in high-dimensional expanders and applications to the hardcore model. (English) Zbl 1522.05449 SIAM J. Comput. 50, No. 4, FOCS20-1-FOCS20-37 (2021). MSC: 05C81 05C48 05E45 82C20 PDFBibTeX XMLCite \textit{N. Anari} et al., SIAM J. Comput. 50, No. 4, FOCS20--1-FOCS20--37 (2021; Zbl 1522.05449) Full Text: DOI arXiv
Blanca, Antonio; Chen, Yuxuan; Galvin, David; Randall, Dana; Tetali, Prasad Phase coexistence for the hard-core model on \(\mathbb{Z}^2\). (English) Zbl 1434.60034 Comb. Probab. Comput. 28, No. 1, 1-22 (2019). MSC: 60C05 68R05 PDFBibTeX XMLCite \textit{A. Blanca} et al., Comb. Probab. Comput. 28, No. 1, 1--22 (2019; Zbl 1434.60034) Full Text: DOI arXiv
Holroyd, Alexander E.; Marcovici, Irène; Martin, James B. Percolation games, probabilistic cellular automata, and the hard-core model. (English) Zbl 1418.91100 Probab. Theory Relat. Fields 174, No. 3-4, 1187-1217 (2019). MSC: 91A43 05C57 91A05 60K35 37B15 68Q80 PDFBibTeX XMLCite \textit{A. E. Holroyd} et al., Probab. Theory Relat. Fields 174, No. 3--4, 1187--1217 (2019; Zbl 1418.91100) Full Text: DOI arXiv
Liu, Tianyu Torpid mixing of Markov chains for the six-vertex model on \(\mathbb{Z}^2\). (English) Zbl 1525.82011 Blais, Eric (ed.) et al., Approximation, randomization, and combinatorial optimization. Algorithms and techniques. 21st international workshop, APPROX 2018, and 22nd international workshop, RANDOM 2018 August 20–22, 2018, Princeton, USA. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 116, Article 52, 15 p. (2018). MSC: 82B20 60K35 68Q87 PDFBibTeX XMLCite \textit{T. Liu}, LIPIcs -- Leibniz Int. Proc. Inform. 116, Article 52, 15 p. (2018; Zbl 1525.82011) Full Text: DOI arXiv
Bhakta, Prateek; Randall, Dana Sampling weighted perfect matchings on the square-octagon lattice. (English) Zbl 1380.05157 Theor. Comput. Sci. 699, 21-32 (2017). MSC: 05C70 05B45 60J10 PDFBibTeX XMLCite \textit{P. Bhakta} and \textit{D. Randall}, Theor. Comput. Sci. 699, 21--32 (2017; Zbl 1380.05157) Full Text: DOI
Miracle, Sarah; Randall, Dana Algorithms to approximately count and sample conforming colorings of graphs. (English) Zbl 1339.05142 Discrete Appl. Math. 210, 133-149 (2016). MSC: 05C15 05C69 60J10 65C05 PDFBibTeX XMLCite \textit{S. Miracle} and \textit{D. Randall}, Discrete Appl. Math. 210, 133--149 (2016; Zbl 1339.05142) Full Text: DOI
Vera, Juan C.; Vigoda, Eric; Yang, Linji Improved bounds on the phase transition for the hard-core model in 2 dimensions. (English) Zbl 1330.82016 SIAM J. Discrete Math. 29, No. 4, 1895-1915 (2015). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82B41 60J10 90C05 PDFBibTeX XMLCite \textit{J. C. Vera} et al., SIAM J. Discrete Math. 29, No. 4, 1895--1915 (2015; Zbl 1330.82016) Full Text: DOI arXiv