Ibrahimi, Morteza; Kanoria, Yash; Kraning, Matt; Montanari, Andrea The set of solutions of random XORSAT formulae. (English) Zbl 1341.68061 Ann. Appl. Probab. 25, No. 5, 2743-2808 (2015). MSC: 68Q25 68Q87 68T20 PDFBibTeX XMLCite \textit{M. Ibrahimi} et al., Ann. Appl. Probab. 25, No. 5, 2743--2808 (2015; Zbl 1341.68061) Full Text: DOI arXiv Euclid
Dembo, Amir; Montanari, Andrea; Sly, Allan; Sun, Nike The replica symmetric solution for Potts models on \(d\)-regular graphs. (English) Zbl 1288.82009 Commun. Math. Phys. 327, No. 2, 551-575 (2014). MSC: 82B20 05C80 82D40 82B23 PDFBibTeX XMLCite \textit{A. Dembo} et al., Commun. Math. Phys. 327, No. 2, 551--575 (2014; Zbl 1288.82009) Full Text: DOI arXiv
Dembo, Amir; Montanari, Andrea; Sun, Nike Factor models on locally tree-like graphs. (English) Zbl 1280.05119 Ann. Probab. 41, No. 6, 4162-4213 (2013). MSC: 05C80 05C05 60K35 82B20 82B23 PDFBibTeX XMLCite \textit{A. Dembo} et al., Ann. Probab. 41, No. 6, 4162--4213 (2013; Zbl 1280.05119) Full Text: DOI arXiv
Ibrahimi, Morteza; Kanoria, Yashodhan; Kraning, Matt; Montanari, Andrea The set of solutions of random XORSAT formulae. (English) Zbl 1423.68211 Rabani, Yuval (ed.), Proceedings of the 23rd annual ACM-SIAM symposium on discrete algorithms, SODA 2012, Kyoto, Japan, January 17–19, 2012. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 760-779 (2012). MSC: 68Q25 68Q87 68T20 PDFBibTeX XMLCite \textit{M. Ibrahimi} et al., in: Proceedings of the 23rd annual ACM-SIAM symposium on discrete algorithms, SODA 2012, Kyoto, Japan, January 17--19, 2012. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 760--779 (2012; Zbl 1423.68211) Full Text: Link
Kanoria, Yashodhan; Montanari, Andrea Majority dynamics on trees and the dynamic cavity method. (English) Zbl 1266.60159 Ann. Appl. Probab. 21, No. 5, 1694-1748 (2011). MSC: 60K35 82C22 05C05 91A12 91A26 91D99 93A14 PDFBibTeX XMLCite \textit{Y. Kanoria} and \textit{A. Montanari}, Ann. Appl. Probab. 21, No. 5, 1694--1748 (2011; Zbl 1266.60159) Full Text: DOI arXiv