Handa, Satoshi; Kamijima, Yoshinori; Sakai, Akira A survey on the lace expansion for the nearest-neighbor models on the BCC lattice. (English) Zbl 1459.60199 Taiwanese J. Math. 24, No. 3, 723-784 (2020). MSC: 60K35 82B20 82B27 82B41 82B43 PDF BibTeX XML Cite \textit{S. Handa} et al., Taiwanese J. Math. 24, No. 3, 723--784 (2020; Zbl 1459.60199) Full Text: DOI arXiv Euclid OpenURL
Almeida Gomes, Pablo; Pereira, Alan; Sanchis, Rémy Anisotropic oriented percolation in high dimensions. (English) Zbl 1441.82007 ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 531-543 (2020). MSC: 82B43 82B41 82B26 60K35 PDF BibTeX XML Cite \textit{P. Almeida Gomes} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 531--543 (2020; Zbl 1441.82007) Full Text: arXiv Link OpenURL
Khuri, Ramzi Remark on protein collapse from a random walk. (English) Zbl 07570057 Physica A 533, Article ID 122071, 3 p. (2019). MSC: 82-XX PDF BibTeX XML Cite \textit{R. Khuri}, Physica A 533, Article ID 122071, 3 p. (2019; Zbl 07570057) Full Text: DOI OpenURL
Hutchcroft, Tom Self-avoiding walk on nonunimodular transitive graphs. (English) Zbl 1448.60187 Ann. Probab. 47, No. 5, 2801-2829 (2019). MSC: 60K35 05C25 60G50 05C30 82B41 PDF BibTeX XML Cite \textit{T. Hutchcroft}, Ann. Probab. 47, No. 5, 2801--2829 (2019; Zbl 1448.60187) Full Text: DOI arXiv Euclid OpenURL
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon Introduction to a renormalisation group method. (English) Zbl 1471.81001 Lecture Notes in Mathematics 2242. Singapore: Springer (ISBN 978-981-329-591-9/pbk; 978-981-329-593-3/ebook). xii, 283 p. (2019). Reviewer: Eugene Kryachko (Kyïv) MSC: 81-01 82-02 81T17 60G15 60K35 82B27 82B41 PDF BibTeX XML Cite \textit{R. Bauerschmidt} et al., Introduction to a renormalisation group method. Singapore: Springer (2019; Zbl 1471.81001) Full Text: DOI arXiv OpenURL
Comets, Francis; Cortines, Aser Finite-size corrections to the speed of a branching-selection process. (English) Zbl 1377.82027 Braz. J. Probab. Stat. 31, No. 3, 476-501 (2017). MSC: 82B41 82B43 60G70 PDF BibTeX XML Cite \textit{F. Comets} and \textit{A. Cortines}, Braz. J. Probab. Stat. 31, No. 3, 476--501 (2017; Zbl 1377.82027) Full Text: DOI arXiv Euclid OpenURL
Fitzner, Robert; van der Hofstad, Remco Mean-field behavior for nearest-neighbor percolation in \(d>10\). (English) Zbl 1364.60130 Electron. J. Probab. 22, Paper No. 43, 65 p. (2017). MSC: 60K35 82B43 82B27 PDF BibTeX XML Cite \textit{R. Fitzner} and \textit{R. van der Hofstad}, Electron. J. Probab. 22, Paper No. 43, 65 p. (2017; Zbl 1364.60130) Full Text: DOI arXiv Euclid OpenURL
van der Hofstad, Remco; Nachmias, Asaf Hypercube percolation. (English) Zbl 1381.60119 J. Eur. Math. Soc. (JEMS) 19, No. 3, 725-814 (2017). Reviewer: Weiping Li (Stillwater) MSC: 60K35 82B43 05C80 PDF BibTeX XML Cite \textit{R. van der Hofstad} and \textit{A. Nachmias}, J. Eur. Math. Soc. (JEMS) 19, No. 3, 725--814 (2017; Zbl 1381.60119) Full Text: DOI OpenURL
Hulshof, Tim The one-arm exponent for mean-field long-range percolation. (English) Zbl 1328.60214 Electron. J. Probab. 20, Paper No. 115, 26 p. (2015). MSC: 60K35 60J80 60G50 82B43 82B27 PDF BibTeX XML Cite \textit{T. Hulshof}, Electron. J. Probab. 20, Paper No. 115, 26 p. (2015; Zbl 1328.60214) Full Text: DOI arXiv OpenURL
Jourdain, Benjamin; Lelièvre, Tony; Miasojedow, Błażej Optimal scaling for the transient phase of the random walk Metropolis algorithm: the mean-field limit. (English) Zbl 1329.60262 Ann. Appl. Probab. 25, No. 4, 2263-2300 (2015). MSC: 60J22 60J10 60G50 60F17 60J60 60G09 65C40 65C05 PDF BibTeX XML Cite \textit{B. Jourdain} et al., Ann. Appl. Probab. 25, No. 4, 2263--2300 (2015; Zbl 1329.60262) Full Text: DOI arXiv Euclid OpenURL
Fernandes, Heitor C. M.; Weigel, Martin Non-reversible Monte Carlo simulations of spin models. (English) Zbl 1227.82016 Comput. Phys. Commun. 182, No. 9, 1856-1859 (2011). MSC: 82B20 82B80 65C05 60J22 65C40 PDF BibTeX XML Cite \textit{H. C. M. Fernandes} and \textit{M. Weigel}, Comput. Phys. Commun. 182, No. 9, 1856--1859 (2011; Zbl 1227.82016) Full Text: DOI OpenURL
Heydenreich, Markus Long-range self-avoiding walk converges to \(\alpha\)-stable processes. (English. French summary) Zbl 1210.82055 Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 1, 20-42 (2011). MSC: 82C41 60G52 82B41 60J65 PDF BibTeX XML Cite \textit{M. Heydenreich}, Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 1, 20--42 (2011; Zbl 1210.82055) Full Text: DOI arXiv EuDML OpenURL
Nachmias, Asaf Mean-field conditions for percolation on finite graphs. (English) Zbl 1182.60025 Geom. Funct. Anal. 19, No. 4, 1171-1194 (2009). MSC: 60K35 60C05 05C80 PDF BibTeX XML Cite \textit{A. Nachmias}, Geom. Funct. Anal. 19, No. 4, 1171--1194 (2009; Zbl 1182.60025) Full Text: DOI arXiv OpenURL
Heydenreich, Markus; van der Hofstad, Remco; Sakai, Akira Mean-field behavior for long- and finite range Ising model, percolation and self-avoiding walk. (English) Zbl 1152.82007 J. Stat. Phys. 132, No. 6, 1001-1049 (2008). MSC: 82B41 82B43 60K35 82B27 PDF BibTeX XML Cite \textit{M. Heydenreich} et al., J. Stat. Phys. 132, No. 6, 1001--1049 (2008; Zbl 1152.82007) Full Text: DOI arXiv OpenURL
Lorenz, Jan; Battiston, Stefano Systemic risk in a network fragility model analyzed with probability density evolution of persistent random walks. (English) Zbl 1142.90376 Netw. Heterog. Media 3, No. 2, 185-200 (2008). MSC: 90B25 90B15 82B41 60G50 PDF BibTeX XML Cite \textit{J. Lorenz} and \textit{S. Battiston}, Netw. Heterog. Media 3, No. 2, 185--200 (2008; Zbl 1142.90376) Full Text: DOI arXiv OpenURL
Aldous, David J.; Bandyopadhyay, Antar A survey of max-type recursive distributional equations. (English) Zbl 1105.60012 Ann. Appl. Probab. 15, No. 2, 1047-1110 (2005). MSC: 60E05 62E10 68Q25 82B44 PDF BibTeX XML Cite \textit{D. J. Aldous} and \textit{A. Bandyopadhyay}, Ann. Appl. Probab. 15, No. 2, 1047--1110 (2005; Zbl 1105.60012) Full Text: DOI arXiv Link OpenURL
Yang, Wei-Shih; Zeleke, Aklilu Expansion methods and scaling limits above critical dimensions. (English) Zbl 0946.60043 Taiwanese J. Math. 3, No. 4, 425-474 (1999). MSC: 60G50 82B41 82B43 PDF BibTeX XML Cite \textit{W.-S. Yang} and \textit{A. Zeleke}, Taiwanese J. Math. 3, No. 4, 425--474 (1999; Zbl 0946.60043) Full Text: DOI OpenURL
Desbois, Jean; Nechaev, Sergei Statistical mechanics of braided Markov chains. I: Analytical methods and numerical simulations. (English) Zbl 0939.82019 J. Stat. Phys. 88, No. 1-2, 201-229 (1997). MSC: 82B41 20F36 82D60 20P05 PDF BibTeX XML Cite \textit{J. Desbois} and \textit{S. Nechaev}, J. Stat. Phys. 88, No. 1--2, 201--229 (1997; Zbl 0939.82019) Full Text: DOI OpenURL
Golowich, Steven E.; Imbrie, John Z. The broken supersymmetry phase of a self-avoiding random walk. (English) Zbl 0822.60064 Commun. Math. Phys. 168, No. 2, 265-319 (1995). MSC: 60G50 82D60 PDF BibTeX XML Cite \textit{S. E. Golowich} and \textit{J. Z. Imbrie}, Commun. Math. Phys. 168, No. 2, 265--319 (1995; Zbl 0822.60064) Full Text: DOI OpenURL
Penrose, Mathew D. Self-avoiding walks and trees in spread-out lattices. (English) Zbl 0838.60064 J. Stat. Phys. 77, No. 1-2, 3-15 (1994). MSC: 60G50 82D60 PDF BibTeX XML Cite \textit{M. D. Penrose}, J. Stat. Phys. 77, No. 1--2, 3--15 (1994; Zbl 0838.60064) Full Text: DOI OpenURL
Fleischmann, Klaus; Greven, Andreas Localization and selection in a mean field branching random walk in a random environment. (English) Zbl 0771.60095 Ann. Probab. 20, No. 4, 2141-2163 (1992). Reviewer: L.G.Gorostiza (Mexico City) MSC: 60K35 60J80 82B41 PDF BibTeX XML Cite \textit{K. Fleischmann} and \textit{A. Greven}, Ann. Probab. 20, No. 4, 2141--2163 (1992; Zbl 0771.60095) Full Text: DOI OpenURL