Aizenman, Michael; Duminil-Copin, Hugo Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. (English) Zbl 1489.60150 Ann. Math. (2) 194, No. 1, 163-235 (2021); corrigendum ibid. 199, No. 1, 479 (2024). Reviewer: Haru Pinson (Tucson) MSC: 60K35 82B20 82B27 60G60 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{H. Duminil-Copin}, Ann. Math. (2) 194, No. 1, 163--235 (2021; Zbl 1489.60150) Full Text: DOI arXiv
Aizenman, Michael; Duminil-Copin, Hugo; Warzel, Simone Dimerization and Néel order in different quantum spin chains through a shared loop representation. (English) Zbl 1453.82003 Ann. Henri Poincaré 21, No. 8, 2737-2774 (2020). MSC: 82B20 82B43 82B26 82B27 60K35 82D40 PDFBibTeX XMLCite \textit{M. Aizenman} et al., Ann. Henri Poincaré 21, No. 8, 2737--2774 (2020; Zbl 1453.82003) Full Text: DOI arXiv
Aizenman, Michael; Germinet, François; Klein, Abel; Warzel, Simone On Bernoulli decompositions for random variables, concentration bounds, and spectral localization. (English) Zbl 1152.60020 Probab. Theory Relat. Fields 143, No. 1-2, 219-238 (2009). MSC: 60E15 82B44 06A07 PDFBibTeX XMLCite \textit{M. Aizenman} et al., Probab. Theory Relat. Fields 143, No. 1--2, 219--238 (2009; Zbl 1152.60020) Full Text: DOI arXiv
Aizenman, M.; Burchard, A. Hölder regularity and dimension bounds for random curves. (English) Zbl 0944.60022 Duke Math. J. 99, No. 3, 419-453 (1999). Reviewer: J.Franchi (Paris) MSC: 60D05 28A75 60K35 82B43 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{A. Burchard}, Duke Math. J. 99, No. 3, 419--453 (1999; Zbl 0944.60022) Full Text: DOI arXiv
Aizenman, Michael On the number of incipient spanning clusters. (English) Zbl 0925.82112 Nucl. Phys., B 485, No. 3, 551-582 (1997). MSC: 82B43 PDFBibTeX XMLCite \textit{M. Aizenman}, Nucl. Phys., B 485, No. 3, 551--582 (1997; Zbl 0925.82112) Full Text: DOI arXiv
Aizenman, M.; Chayes, J. T.; Chayes, L.; Newman, C. M. Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models. (English) Zbl 1084.82514 J. Stat. Phys. 50, No. 1-2, 1-40 (1988). MSC: 82B20 82B24 PDFBibTeX XMLCite \textit{M. Aizenman} et al., J. Stat. Phys. 50, No. 1--2, 1--40 (1988; Zbl 1084.82514) Full Text: DOI
Aizenman, M.; Kesten, H.; Newman, C. M. Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation. (English) Zbl 0642.60102 Commun. Math. Phys. 111, 505-531 (1987). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{M. Aizenman} et al., Commun. Math. Phys. 111, 505--531 (1987; Zbl 0642.60102) Full Text: DOI
Aizenman, Michael; Barsky, David J. Sharpness of the phase transition in percolation models. (English) Zbl 0618.60098 Commun. Math. Phys. 108, 489-526 (1987). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{D. J. Barsky}, Commun. Math. Phys. 108, 489--526 (1987; Zbl 0618.60098) Full Text: DOI
Aizenman, M.; Newman, C. M. Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models. (English) Zbl 0613.60097 Commun. Math. Phys. 107, 611-647 (1986). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{C. M. Newman}, Commun. Math. Phys. 107, 611--647 (1986; Zbl 0613.60097) Full Text: DOI
Aizenman, Michael; Newman, Charles M. Tree graph inequalities and critical behavior in percolation models. (English) Zbl 0586.60096 J. Stat. Phys. 36, 107-144 (1984). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{C. M. Newman}, J. Stat. Phys. 36, 107--144 (1984; Zbl 0586.60096) Full Text: DOI
Aizenman, M.; Chayes, J. T.; Chayes, L.; Fröhlich, J.; Russo, L. On a sharp transition from area law to perimeter law in a system of random surfaces. (English) Zbl 0529.60099 Commun. Math. Phys. 92, No. 1, 19-69 (1983). MSC: 60K35 60D05 82B43 60F99 PDFBibTeX XMLCite \textit{M. Aizenman} et al., Commun. Math. Phys. 92, 19--69 (1983; Zbl 0529.60099) Full Text: DOI