Yao, Chang-Long Multi-arm incipient infinite clusters in 2D: scaling limits and winding numbers. (English. French summary) Zbl 1417.60083 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 1848-1876 (2018). MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{C.-L. Yao}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 1848--1876 (2018; Zbl 1417.60083) Full Text: DOI arXiv Euclid OpenURL
Járai, Antal A.; Nachmias, Asaf Electrical resistance of the low dimensional critical branching random walk. (English) Zbl 1312.60101 Commun. Math. Phys. 331, No. 1, 67-109 (2014). MSC: 60J80 60G50 60K35 82B43 82B41 PDF BibTeX XML Cite \textit{A. A. Járai} and \textit{A. Nachmias}, Commun. Math. Phys. 331, No. 1, 67--109 (2014; Zbl 1312.60101) Full Text: DOI arXiv Link OpenURL
Heydenreich, Markus; van der Hofstad, Remco; Hulshof, Tim High-dimensional incipient infinite clusters revisited. (English) Zbl 1296.82029 J. Stat. Phys. 155, No. 5, 966-1025 (2014). Reviewer: A. C. D. van Enter (Groningen) MSC: 82B43 82B27 60K35 60K37 PDF BibTeX XML Cite \textit{M. Heydenreich} et al., J. Stat. Phys. 155, No. 5, 966--1025 (2014; Zbl 1296.82029) Full Text: DOI arXiv OpenURL
Heydenreich, Markus; van der Hofstad, Remco; Hulshof, Tim Random walk on the high-dimensional IIC. (English) Zbl 1302.82050 Commun. Math. Phys. 329, No. 1, 57-115 (2014). MSC: 82B41 05C80 82B43 60G50 PDF BibTeX XML Cite \textit{M. Heydenreich} et al., Commun. Math. Phys. 329, No. 1, 57--115 (2014; Zbl 1302.82050) Full Text: DOI arXiv OpenURL
Van Der Hofstad, Remco; Holmes, Mark The survival probability and \(r\)-point functions in high dimensions. (English) Zbl 1284.82039 Ann. Math. (2) 178, No. 2, 665-685 (2013). Reviewer: Dominique Lepingle (Orléans) MSC: 82C20 82C43 60J80 82C26 60J65 PDF BibTeX XML Cite \textit{R. Van Der Hofstad} and \textit{M. Holmes}, Ann. Math. (2) 178, No. 2, 665--685 (2013; Zbl 1284.82039) Full Text: DOI arXiv OpenURL
Kozma, Gady; Nachmias, Asaf Arm exponents in high dimensional percolation. (English) Zbl 1219.60085 J. Am. Math. Soc. 24, No. 2, 375-409 (2011). Reviewer: Wolfgang Freudenberg (Cottbus) MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{G. Kozma} and \textit{A. Nachmias}, J. Am. Math. Soc. 24, No. 2, 375--409 (2011; Zbl 1219.60085) Full Text: DOI arXiv OpenURL
Kozma, Gady; Nachmias, Asaf The Alexander-Orbach conjecture holds in high dimensions. (English) Zbl 1180.82094 Invent. Math. 178, No. 3, 635-654 (2009). MSC: 82B43 82B41 82B27 PDF BibTeX XML Cite \textit{G. Kozma} and \textit{A. Nachmias}, Invent. Math. 178, No. 3, 635--654 (2009; Zbl 1180.82094) Full Text: DOI arXiv OpenURL
Barlow, Martin T.; Járai, Antal A.; Kumagai, Takashi; Slade, Gordon Random walk on the incipient infinite cluster for oriented percolation in high dimensions. (English) Zbl 1144.82030 Commun. Math. Phys. 278, No. 2, 385-431 (2008). MSC: 82B43 82B41 60K35 60G50 PDF BibTeX XML Cite \textit{M. T. Barlow} et al., Commun. Math. Phys. 278, No. 2, 385--431 (2008; Zbl 1144.82030) Full Text: DOI arXiv OpenURL
Angel, Omer; Goodman, Jesse; den Hollander, Frank; Slade, Gordon Invasion percolation on regular trees. (English) Zbl 1145.60050 Ann. Probab. 36, No. 2, 420-466 (2008). Reviewer: Arnaud Le Ny (Orsay) MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{O. Angel} et al., Ann. Probab. 36, No. 2, 420--466 (2008; Zbl 1145.60050) Full Text: DOI arXiv OpenURL
Heydenreich, Markus; van der Hofstad, Remco Random graph asymptotics on high-dimensional tori. (English) Zbl 1128.82010 Commun. Math. Phys. 270, No. 2, 335-358 (2007). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82B43 60K35 05C80 PDF BibTeX XML Cite \textit{M. Heydenreich} and \textit{R. van der Hofstad}, Commun. Math. Phys. 270, No. 2, 335--358 (2007; Zbl 1128.82010) Full Text: DOI arXiv OpenURL
van der Hofstad, Remco; Hollander, Frank den; Slade, Gordon The survival probability for critical spread-out oriented percolation above \(4 + 1\) dimensions. I. Induction. (English) Zbl 1130.60094 Probab. Theory Relat. Fields 138, No. 3-4, 363-389 (2007). Reviewer: Alexander V. Bulinskij (Moskva) MSC: 60K35 PDF BibTeX XML Cite \textit{R. van der Hofstad} et al., Probab. Theory Relat. Fields 138, No. 3--4, 363--389 (2007; Zbl 1130.60094) Full Text: DOI OpenURL
van der Hofstad, Remco Infinite canonical super-Brownian motion and scaling limits. (English) Zbl 1116.60048 Commun. Math. Phys. 265, No. 3, 547-583 (2006). Reviewer: A. C. D. van Enter (Groningen) MSC: 60J80 60K35 82B27 82B43 PDF BibTeX XML Cite \textit{R. van der Hofstad}, Commun. Math. Phys. 265, No. 3, 547--583 (2006; Zbl 1116.60048) Full Text: DOI arXiv OpenURL
Biskup, Marek; Chayes, Lincoln; Crawford, Nicholas Mean-field driven first-order phase transitions in systems with long-range interactions. (English) Zbl 1142.82329 J. Stat. Phys. 122, No. 6, 1139-1193 (2006). MSC: 82B26 82B20 PDF BibTeX XML Cite \textit{M. Biskup} et al., J. Stat. Phys. 122, No. 6, 1139--1193 (2006; Zbl 1142.82329) Full Text: DOI arXiv OpenURL