Muirhead, Stephen; Rivera, Alejandro; Vanneuville, Hugo; Köhler-Schindler, Laurin The phase transition for planar Gaussian percolation models without FKG. (English) Zbl 07793392 Ann. Probab. 51, No. 5, 1785-1829 (2023). MSC: 60G60 60K35 PDFBibTeX XMLCite \textit{S. Muirhead} et al., Ann. Probab. 51, No. 5, 1785--1829 (2023; Zbl 07793392) Full Text: DOI arXiv
Lachièze-Rey, Raphaël; Muirhead, Stephen Asymptotics for the critical level and a strong invariance principle for high intensity shot noise fields. (English) Zbl 07788708 Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 3, 1375-1397 (2023). MSC: 60G60 60K35 PDFBibTeX XMLCite \textit{R. Lachièze-Rey} and \textit{S. Muirhead}, Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 3, 1375--1397 (2023; Zbl 07788708) Full Text: DOI arXiv
Dewan, Vivek; Muirhead, Stephen Upper bounds on the one-arm exponent for dependent percolation models. (English) Zbl 07773471 Probab. Theory Relat. Fields 185, No. 1-2, 41-88 (2023). MSC: 60G60 60F99 PDFBibTeX XMLCite \textit{V. Dewan} and \textit{S. Muirhead}, Probab. Theory Relat. Fields 185, No. 1--2, 41--88 (2023; Zbl 07773471) Full Text: DOI arXiv
Dewan, Vivek; Muirhead, Stephen Mean-field bounds for Poisson-Boolean percolation. (English) Zbl 1524.60264 Electron. J. Probab. 28, Paper No. 33, 24 p. (2023). MSC: 60K35 82B43 60D05 PDFBibTeX XMLCite \textit{V. Dewan} and \textit{S. Muirhead}, Electron. J. Probab. 28, Paper No. 33, 24 p. (2023; Zbl 1524.60264) Full Text: DOI arXiv Link
Hirsch, Christian; Jahnel, Benedikt; Muirhead, Stephen Sharp phase transition for Cox percolation. (English) Zbl 1503.60058 Electron. Commun. Probab. 27, Paper No. 48, 13 p. (2022). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60G55 60F10 60K35 PDFBibTeX XMLCite \textit{C. Hirsch} et al., Electron. Commun. Probab. 27, Paper No. 48, 13 p. (2022; Zbl 1503.60058) Full Text: DOI arXiv
Lachieze-Rey, Raphael; Muirhead, Stephen Percolation of the excursion sets of planar symmetric shot noise fields. (English) Zbl 1483.60074 Stochastic Processes Appl. 147, 175-209 (2022). MSC: 60G60 60K35 PDFBibTeX XMLCite \textit{R. Lachieze-Rey} and \textit{S. Muirhead}, Stochastic Processes Appl. 147, 175--209 (2022; Zbl 1483.60074) Full Text: DOI arXiv HAL
Beliaev, D.; Muirhead, S.; Wigman, I. Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials. (English) Zbl 1483.30028 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 2189-2218 (2021). MSC: 30C15 60G15 60K35 PDFBibTeX XMLCite \textit{D. Beliaev} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 2189--2218 (2021; Zbl 1483.30028) Full Text: DOI arXiv
Muirhead, Stephen; Vanneuville, Hugo The sharp phase transition for level set percolation of smooth planar Gaussian fields. (English. French summary) Zbl 1462.60065 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 1358-1390 (2020). MSC: 60G60 60K35 PDFBibTeX XMLCite \textit{S. Muirhead} and \textit{H. Vanneuville}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 1358--1390 (2020; Zbl 1462.60065) Full Text: DOI arXiv Euclid
Beliaev, D.; Muirhead, S. Discretisation schemes for level sets of planar Gaussian fields. (English) Zbl 1429.60036 Commun. Math. Phys. 359, No. 3, 869-913 (2018). MSC: 60G15 60G60 PDFBibTeX XMLCite \textit{D. Beliaev} and \textit{S. Muirhead}, Commun. Math. Phys. 359, No. 3, 869--913 (2018; Zbl 1429.60036) Full Text: DOI arXiv