Hutchcroft, Tom Transience and anchored isoperimetric dimension of supercritical percolation clusters. (English) Zbl 1515.60316 Electron. J. Probab. 28, Paper No. 14, 15 p. (2023). MSC: 60K35 60J99 PDFBibTeX XMLCite \textit{T. Hutchcroft}, Electron. J. Probab. 28, Paper No. 14, 15 p. (2023; Zbl 1515.60316) Full Text: DOI arXiv Link
Sönmez, Ercan; Rousselle, Arnaud Random walk on the random connection model. (English) Zbl 1503.60154 Indag. Math., New Ser. 33, No. 5, 1049-1060 (2022). MSC: 60K35 05C80 60K37 60G55 82B20 PDFBibTeX XMLCite \textit{E. Sönmez} and \textit{A. Rousselle}, Indag. Math., New Ser. 33, No. 5, 1049--1060 (2022; Zbl 1503.60154) Full Text: DOI arXiv
Gracar, Peter; Heydenreich, Markus; Mönch, Christian; Mörters, Peter Recurrence versus transience for weight-dependent random connection models. (English) Zbl 1491.05168 Electron. J. Probab. 27, Paper No. 60, 31 p. (2022). MSC: 05C80 60K35 PDFBibTeX XMLCite \textit{P. Gracar} et al., Electron. J. Probab. 27, Paper No. 60, 31 p. (2022; Zbl 1491.05168) Full Text: DOI arXiv
Cosco, Clément; Seroussi, Inbar; Zeitouni, Ofer Directed polymers on infinite graphs. (English) Zbl 1469.60356 Commun. Math. Phys. 386, No. 1, 395-432 (2021). MSC: 60K37 60K35 05C63 82D60 82B44 PDFBibTeX XMLCite \textit{C. Cosco} et al., Commun. Math. Phys. 386, No. 1, 395--432 (2021; Zbl 1469.60356) Full Text: DOI arXiv
Tang, Pengfei Heavy Bernoulli-percolation clusters are indistinguishable. (English) Zbl 1453.60161 Ann. Probab. 47, No. 6, 4077-4115 (2019). MSC: 60K35 82B43 60B99 60C05 PDFBibTeX XMLCite \textit{P. Tang}, Ann. Probab. 47, No. 6, 4077--4115 (2019; Zbl 1453.60161) Full Text: DOI arXiv Euclid
Dawson, D. A.; Gorostiza, L. G. Random systems in ultrametric spaces. (English) Zbl 1430.05107 Adv. Appl. Probab. 50, No. A, 83-97 (2018). MSC: 05C80 05C81 60K35 60C05 PDFBibTeX XMLCite \textit{D. A. Dawson} and \textit{L. G. Gorostiza}, Adv. Appl. Probab. 50, No. A, 83--97 (2018; Zbl 1430.05107) Full Text: DOI
Chen, Dayue; Hu, Yueyun; Lin, Shen Resistance growth of branching random networks. (English) Zbl 1410.60086 Electron. J. Probab. 23, Paper No. 52, 17 p. (2018). MSC: 60J80 60F05 PDFBibTeX XMLCite \textit{D. Chen} et al., Electron. J. Probab. 23, Paper No. 52, 17 p. (2018; Zbl 1410.60086) Full Text: DOI arXiv Euclid
Dawson, D. A.; Gorostiza, L. G. Transience and recurrence of random walks on percolation clusters in an ultrametric space. (English) Zbl 1384.05139 J. Theor. Probab. 31, No. 1, 494-526 (2018). MSC: 05C80 05C81 05C12 05C38 60K35 60C05 PDFBibTeX XMLCite \textit{D. A. Dawson} and \textit{L. G. Gorostiza}, J. Theor. Probab. 31, No. 1, 494--526 (2018; Zbl 1384.05139) Full Text: DOI arXiv
Okamura, Kazuki Enlargement of subgraphs of infinite graphs by Bernoulli percolation. (English) Zbl 1367.05147 Indag. Math., New Ser. 28, No. 4, 832-853 (2017). MSC: 05C63 60K35 05C60 PDFBibTeX XMLCite \textit{K. Okamura}, Indag. Math., New Ser. 28, No. 4, 832--853 (2017; Zbl 1367.05147) Full Text: DOI arXiv
Kosygina, Elena; Zerner, Martin P. W. A zero-one law for recurrence and transience of frog processes. (English) Zbl 1372.60047 Probab. Theory Relat. Fields 168, No. 1-2, 317-346 (2017). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 60F20 60K35 60J10 60G50 60K37 PDFBibTeX XMLCite \textit{E. Kosygina} and \textit{M. P. W. Zerner}, Probab. Theory Relat. Fields 168, No. 1--2, 317--346 (2017; Zbl 1372.60047) Full Text: DOI arXiv
Derrien, Jean-Marc A local central limit theorem in stationary random environment of conductances on \(\mathbb{Z}\). (Un théorème limite central local en environnement aléatoire stationnaire de conductances sur \(\mathbb{Z}\).) (French. English summary) Zbl 1334.60016 Bull. Soc. Math. Fr. 143, No. 3, 467-488 (2015). Reviewer: Sebastian Mentemeier (Dortmund) MSC: 60F05 60K37 60G50 60J10 PDFBibTeX XMLCite \textit{J.-M. Derrien}, Bull. Soc. Math. Fr. 143, No. 3, 467--488 (2015; Zbl 1334.60016) Full Text: DOI arXiv Link
Rousselle, Arnaud Recurrence or transience of random walks on random graphs generated by point processes in \(\mathbb{R}^d\). (English) Zbl 1325.60165 Stochastic Processes Appl. 125, No. 12, 4351-4374 (2015). MSC: 60K37 60G50 60G55 60D05 05C80 05C81 PDFBibTeX XMLCite \textit{A. Rousselle}, Stochastic Processes Appl. 125, No. 12, 4351--4374 (2015; Zbl 1325.60165) Full Text: DOI arXiv
Abe, Yoshihiro Effective resistances for supercritical percolation clusters in boxes. (English. French summary) Zbl 1323.60122 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 3, 935-946 (2015). MSC: 60K35 60G50 60K37 60G60 60G15 60J45 PDFBibTeX XMLCite \textit{Y. Abe}, Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 3, 935--946 (2015; Zbl 1323.60122) Full Text: DOI arXiv Euclid
Boivin, Daniel; Rau, Clément Existence of the harmonic measure for random walks on graphs and in random environments. (English) Zbl 1259.82047 J. Stat. Phys. 150, No. 2, 235-263 (2013). MSC: 82B43 82B41 60J35 PDFBibTeX XMLCite \textit{D. Boivin} and \textit{C. Rau}, J. Stat. Phys. 150, No. 2, 235--263 (2013; Zbl 1259.82047) Full Text: DOI arXiv
Biskup, Marek Recent progress on the random conductance model. (English) Zbl 1245.60098 Probab. Surv. 8, 294-373 (2011). MSC: 60K37 60F17 60J45 82B43 80M40 PDFBibTeX XMLCite \textit{M. Biskup}, Probab. Surv. 8, 294--373 (2011; Zbl 1245.60098) Full Text: DOI arXiv Euclid
Häggström, Olle Percolation beyond \(\mathbb Z^{d}\): the contributions of Oded Schramm. (English) Zbl 1231.60111 Ann. Probab. 39, No. 5, 1668-1701 (2011). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 60K35 82B43 60B99 51M10 60K37 PDFBibTeX XMLCite \textit{O. Häggström}, Ann. Probab. 39, No. 5, 1668--1701 (2011; Zbl 1231.60111) Full Text: DOI arXiv
Bertacchi, D.; Lanchier, N.; Zucca, F. Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions. (English) Zbl 1234.60093 Ann. Appl. Probab. 21, No. 4, 1215-1252 (2011). Reviewer: Dominique Lepingle (Orléans) MSC: 60K35 92D30 PDFBibTeX XMLCite \textit{D. Bertacchi} et al., Ann. Appl. Probab. 21, No. 4, 1215--1252 (2011; Zbl 1234.60093) Full Text: DOI arXiv
Misumi, Jun Heat kernel estimates for random walks on some kinds of one-dimensional continuum percolation clusters. (English) Zbl 1235.60140 Tokyo J. Math. 34, No. 1, 1-17 (2011). Reviewer: Piotr Garbaczewski (Opole) MSC: 60K35 05C81 82B43 82C43 82C41 60G55 PDFBibTeX XMLCite \textit{J. Misumi}, Tokyo J. Math. 34, No. 1, 1--17 (2011; Zbl 1235.60140) Full Text: DOI
Fribergh, Alexander The speed of a biased random walk on a percolation cluster at high density. (English) Zbl 1205.60171 Ann. Probab. 38, No. 5, 1717-1782 (2010). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K37 60J45 60D05 PDFBibTeX XMLCite \textit{A. Fribergh}, Ann. Probab. 38, No. 5, 1717--1782 (2010; Zbl 1205.60171) Full Text: DOI arXiv
Axelson-Fisk, Marina; Häggström, Olle Biased random walk in a one-dimensional percolation model. (English) Zbl 1176.60079 Stochastic Processes Appl. 119, No. 10, 3395-3415 (2009). MSC: 60K35 60J10 60K37 PDFBibTeX XMLCite \textit{M. Axelson-Fisk} and \textit{O. Häggström}, Stochastic Processes Appl. 119, No. 10, 3395--3415 (2009; Zbl 1176.60079) Full Text: DOI
Berger, N.; Biskup, M.; Hoffman, C. E.; Kozma, G. Anomalous heat-kernel decay for random walk among bounded random conductances. (English) Zbl 1187.60034 Ann. Inst. Henri Poincaré, Probab. Stat. 44, No. 2, 374-392 (2008). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60G50 60K37 82C41 PDFBibTeX XMLCite \textit{N. Berger} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 44, No. 2, 374--392 (2008; Zbl 1187.60034) Full Text: DOI arXiv EuDML
Chen, Dayue; Zhang, Fuxi On the monotonicity of the speed of random walks on a percolation cluster of trees. (English) Zbl 1141.60069 Acta Math. Sin., Engl. Ser. 23, No. 11, 1949-1954 (2007). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K37 60J10 PDFBibTeX XMLCite \textit{D. Chen} and \textit{F. Zhang}, Acta Math. Sin., Engl. Ser. 23, No. 11, 1949--1954 (2007; Zbl 1141.60069) Full Text: DOI arXiv
Mathieu, P.; Piatnitski, A. Quenched invariance principles for random walks on percolation clusters. (English) Zbl 1131.82012 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2085, 2287-2307 (2007). MSC: 82B41 60F17 60G50 60K35 82B43 PDFBibTeX XMLCite \textit{P. Mathieu} and \textit{A. Piatnitski}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2085, 2287--2307 (2007; Zbl 1131.82012) Full Text: DOI arXiv
Berger, Noam; Biskup, Marek Quenched invariance principle for simple random walk on percolation clusters. (English) Zbl 1107.60066 Probab. Theory Relat. Fields 137, No. 1-2, 83-120 (2007). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{N. Berger} and \textit{M. Biskup}, Probab. Theory Relat. Fields 137, No. 1--2, 83--120 (2007; Zbl 1107.60066) Full Text: DOI arXiv
Barlow, Martin T. Random walks on supercritical percolation clusters. (English) Zbl 1067.60101 Ann. Probab. 32, No. 4, 3024-3084 (2004). Reviewer: Piotr Garbaczewski (Zielona Góra) MSC: 60K37 58J35 82B43 05C80 PDFBibTeX XMLCite \textit{M. T. Barlow}, Ann. Probab. 32, No. 4, 3024--3084 (2004; Zbl 1067.60101) Full Text: DOI arXiv
Chen, Dayue; Peres, Yuval; Pete, Gábor Anchored expansion, percolation and speed. (With an appendix by Gábor Pete). (English) Zbl 1069.60093 Ann. Probab. 32, No. 4, 2978-2995 (2004). Reviewer: A. C. D. van Enter (Groningen) MSC: 60K37 60B99 60K35 60G50 PDFBibTeX XMLCite \textit{D. Chen} et al., Ann. Probab. 32, No. 4, 2978--2995 (2004; Zbl 1069.60093) Full Text: DOI arXiv
Mathieu, Pierre; Remy, Elisabeth Isoperimetry and heat kernel decay on percolation clusters. (English) Zbl 1078.60085 Ann. Probab. 32, No. 1A, 100-128 (2004). MSC: 60K35 PDFBibTeX XMLCite \textit{P. Mathieu} and \textit{E. Remy}, Ann. Probab. 32, No. 1A, 100--128 (2004; Zbl 1078.60085) Full Text: DOI arXiv
Muchnik, Roman; Pak, Igor Percolation on Grigorchuk groups. (English) Zbl 1042.20035 Commun. Algebra 29, No. 2, 661-671 (2001). MSC: 20F69 60G50 05C25 05C30 60K35 PDFBibTeX XMLCite \textit{R. Muchnik} and \textit{I. Pak}, Commun. Algebra 29, No. 2, 661--671 (2001; Zbl 1042.20035) Full Text: DOI
Hoffman, Christopher Energy of flows on \(\mathbb{Z}^2\) percolation clusters. (English) Zbl 0947.60094 Random Struct. Algorithms 16, No. 2, 143-155 (2000). MSC: 60K35 60C05 PDFBibTeX XMLCite \textit{C. Hoffman}, Random Struct. Algorithms 16, No. 2, 143--155 (2000; Zbl 0947.60094) Full Text: DOI
Häggström, Olle; Mossel, Elchanan Nearest-neighbor walks with low predictability profile and percolation in \(2+\varepsilon\) dimensions. (English) Zbl 0937.60071 Ann. Probab. 26, No. 3, 1212-1231 (1998). MSC: 60J45 60K35 60G50 PDFBibTeX XMLCite \textit{O. Häggström} and \textit{E. Mossel}, Ann. Probab. 26, No. 3, 1212--1231 (1998; Zbl 0937.60071) Full Text: DOI
Benjamini, Itai; Pemantle, Robin; Peres, Yuval Unpredictable paths and percolation. (English) Zbl 0937.60070 Ann. Probab. 26, No. 3, 1198-1211 (1998). MSC: 60J45 60J10 60J65 60K35 60G50 PDFBibTeX XMLCite \textit{I. Benjamini} et al., Ann. Probab. 26, No. 3, 1198--1211 (1998; Zbl 0937.60070) Full Text: DOI arXiv
Hoffman, Christopher Unpredictable nearest neighbor processes. (English) Zbl 0937.60023 Ann. Probab. 26, No. 4, 1781-1787 (1998). MSC: 60G07 PDFBibTeX XMLCite \textit{C. Hoffman}, Ann. Probab. 26, No. 4, 1781--1787 (1998; Zbl 0937.60023) Full Text: DOI
Haase, Hermann On the incipient cluster of the binary tree. (English) Zbl 0807.60088 Arch. Math. 63, No. 5, 465-471 (1994). Reviewer: H.Haase (Greifswald) MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{H. Haase}, Arch. Math. 63, No. 5, 465--471 (1994; Zbl 0807.60088) Full Text: DOI