Nestoridi, Evita; Sly, Allan The random walk on upper triangular matrices over \(\mathbb{Z} / m\mathbb{Z}\). (English) Zbl 07768334 Probab. Theory Relat. Fields 187, No. 3-4, 571-601 (2023). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60G50 60J05 60J10 60J27 60J25 PDFBibTeX XMLCite \textit{E. Nestoridi} and \textit{A. Sly}, Probab. Theory Relat. Fields 187, No. 3--4, 571--601 (2023; Zbl 07768334) Full Text: DOI arXiv
Hermon, Jonathan; Sly, Allan; Sousi, Perla Universality of cutoff for graphs with an added random matching. (English) Zbl 1486.05278 Ann. Probab. 50, No. 1, 203-240 (2022). Reviewer: David B. Penman (Colchester) MSC: 05C80 05C81 05C70 05C05 PDFBibTeX XMLCite \textit{J. Hermon} et al., Ann. Probab. 50, No. 1, 203--240 (2022; Zbl 1486.05278) Full Text: DOI arXiv
Lubetzky, Eyal; Sly, Allan Fast initial conditions for Glauber dynamics. (English) Zbl 1477.60112 Probab. Theory Relat. Fields 181, No. 1-3, 647-667 (2021). MSC: 60J10 60K35 PDFBibTeX XMLCite \textit{E. Lubetzky} and \textit{A. Sly}, Probab. Theory Relat. Fields 181, No. 1--3, 647--667 (2021; Zbl 1477.60112) Full Text: DOI arXiv
Hermon, Jonathan; Sly, Allan; Zhang, Yumeng Rapid mixing of hypergraph independent sets. (English) Zbl 1417.05147 Random Struct. Algorithms 54, No. 4, 730-767 (2019). MSC: 05C65 05C69 PDFBibTeX XMLCite \textit{J. Hermon} et al., Random Struct. Algorithms 54, No. 4, 730--767 (2019; Zbl 1417.05147) Full Text: DOI arXiv
Berestycki, Nathanaël; Lubetzky, Eyal; Peres, Yuval; Sly, Allan Random walks on the random graph. (English) Zbl 1393.60077 Ann. Probab. 46, No. 1, 456-490 (2018). Reviewer: Yilun Shang (Shanghai) MSC: 60J10 60B10 05C81 05C80 PDFBibTeX XMLCite \textit{N. Berestycki} et al., Ann. Probab. 46, No. 1, 456--490 (2018; Zbl 1393.60077) Full Text: DOI arXiv
Lubetzky, Eyal; Sly, Allan Universality of cutoff for the Ising model. (English) Zbl 1405.60148 Ann. Probab. 45, No. 6A, 3664-3696 (2017). MSC: 60K35 82C20 60B10 PDFBibTeX XMLCite \textit{E. Lubetzky} and \textit{A. Sly}, Ann. Probab. 45, No. 6A, 3664--3696 (2017; Zbl 1405.60148) Full Text: DOI arXiv Euclid
Sly, Allan; Zhang, Yumeng The Glauber dynamics of colorings on trees is rapidly mixing throughout the nonreconstruction regime. (English) Zbl 1379.60079 Ann. Appl. Probab. 27, No. 5, 2646-2674 (2017). MSC: 60J10 PDFBibTeX XMLCite \textit{A. Sly} and \textit{Y. Zhang}, Ann. Appl. Probab. 27, No. 5, 2646--2674 (2017; Zbl 1379.60079) Full Text: DOI Euclid
Caputo, Pietro; Lubetzky, Eyal; Martinelli, Fabio; Sly, Allan; Toninelli, Fabio Lucio Dynamics of \((2+1)\)-dimensional SOS surfaces above a wall: slow mixing induced by entropic repulsion. (English) Zbl 1311.60114 Ann. Probab. 42, No. 4, 1516-1589 (2014). Reviewer: Allan Gut (Uppsala) MSC: 60K35 82C20 PDFBibTeX XMLCite \textit{P. Caputo} et al., Ann. Probab. 42, No. 4, 1516--1589 (2014; Zbl 1311.60114) Full Text: DOI arXiv
Peres, Yuval; Sly, Allan Mixing of the upper triangular matrix walk. (English) Zbl 1273.60086 Probab. Theory Relat. Fields 156, No. 3-4, 581-591 (2013). MSC: 60J10 60G50 PDFBibTeX XMLCite \textit{Y. Peres} and \textit{A. Sly}, Probab. Theory Relat. Fields 156, No. 3--4, 581--591 (2013; Zbl 1273.60086) Full Text: DOI arXiv
Mossel, Elchanan; Sly, Allan Exact thresholds for Ising-Gibbs samplers on general graphs. (English) Zbl 1270.60113 Ann. Probab. 41, No. 1, 294-328 (2013). Reviewer: Piotr Garbaczewski (Opole) MSC: 60K35 82B20 82C20 PDFBibTeX XMLCite \textit{E. Mossel} and \textit{A. Sly}, Ann. Probab. 41, No. 1, 294--328 (2013; Zbl 1270.60113) Full Text: DOI arXiv Euclid
Lubetzky, Eyal; Martinelli, Fabio; Sly, Allan; Toninelli, Fabio Lucio Quasi-polynomial mixing of the 2D stochastic Ising model with “plus” boundary up to criticality. (English) Zbl 1266.60161 J. Eur. Math. Soc. (JEMS) 15, No. 2, 339-386 (2013). Reviewer: Guy Jumarie (Montréal) MSC: 60K35 82C20 PDFBibTeX XMLCite \textit{E. Lubetzky} et al., J. Eur. Math. Soc. (JEMS) 15, No. 2, 339--386 (2013; Zbl 1266.60161) Full Text: DOI arXiv
Cuff, P.; Ding, J.; Louidor, O.; Lubetzky, E.; Peres, Y.; Sly, A. Glauber dynamics for the mean-field Potts model. (English) Zbl 1254.82024 J. Stat. Phys. 149, No. 3, 432-477 (2012). MSC: 82C20 82C27 PDFBibTeX XMLCite \textit{P. Cuff} et al., J. Stat. Phys. 149, No. 3, 432--477 (2012; Zbl 1254.82024) Full Text: DOI arXiv
Mossel, Elchanan; Sly, Allan Rapid mixing of Gibbs sampling on graphs that are sparse on average. (English) Zbl 1216.60054 Random Struct. Algorithms 35, No. 2, 250-270 (2009). Reviewer: Ove Frank (Stockholm) MSC: 60J10 05C80 82C20 PDFBibTeX XMLCite \textit{E. Mossel} and \textit{A. Sly}, Random Struct. Algorithms 35, No. 2, 250--270 (2009; Zbl 1216.60054) Full Text: DOI arXiv