Betz, Volker; Meiners, Matthias; Tomic, Ivana Speed function for biased random walks with traps. (English) Zbl 1515.60332 Stat. Probab. Lett. 195, Article ID 109765, 9 p. (2023). MSC: 60K37 60F15 PDFBibTeX XMLCite \textit{V. Betz} et al., Stat. Probab. Lett. 195, Article ID 109765, 9 p. (2023; Zbl 1515.60332) Full Text: DOI arXiv
Gantert, Nina; Klenke, Achim Biased random walk on spanning trees of the ladder graph. (English) Zbl 1512.05358 J. Stat. Phys. 190, No. 4, Paper No. 83, 25 p. (2023). MSC: 05C80 05C81 PDFBibTeX XMLCite \textit{N. Gantert} and \textit{A. Klenke}, J. Stat. Phys. 190, No. 4, Paper No. 83, 25 p. (2023; Zbl 1512.05358) Full Text: DOI arXiv
Gordina, Masha (ed.); Kumagai, Takashi (ed.); Saloff-Coste, Laurent (ed.); Sturm, Karl-Theodor (ed.) Heat kernels, stochastic processes and functional inequalities. Abstracts from the workshop held October 30 – November 5, 2022. (English) Zbl 1521.00018 Oberwolfach Rep. 19, No. 4, 2811-2893 (2022). MSC: 00B05 00B25 58-06 60-06 31-06 31Cxx 60Jxx 58Jxx PDFBibTeX XMLCite \textit{M. Gordina} (ed.) et al., Oberwolfach Rep. 19, No. 4, 2811--2893 (2022; Zbl 1521.00018) Full Text: DOI
Gantert, Nina; Klenke, Achim The tail of the length of an excursion in a trap of random size. (English) Zbl 1493.60143 J. Stat. Phys. 188, No. 3, Paper No. 27, 20 p. (2022). MSC: 60K35 60J05 60J80 60G50 PDFBibTeX XMLCite \textit{N. Gantert} and \textit{A. Klenke}, J. Stat. Phys. 188, No. 3, Paper No. 27, 20 p. (2022; Zbl 1493.60143) Full Text: DOI arXiv
Bowditch, Adam M.; Croydon, David A. Biased random walk on supercritical percolation: anomalous fluctuations in the ballistic regime. (English) Zbl 1495.60086 Electron. J. Probab. 27, Paper No. 68, 22 p. (2022). MSC: 60K35 60G50 60K37 PDFBibTeX XMLCite \textit{A. M. Bowditch} and \textit{D. A. Croydon}, Electron. J. Probab. 27, Paper No. 68, 22 p. (2022; Zbl 1495.60086) Full Text: DOI arXiv
Glatzel, Tabea; Nagel, Jan The speed of random walk on Galton-Watson trees with vanishing conductances. (English) Zbl 1478.60233 Electron. J. Probab. 26, Paper No. 98, 19 p. (2021). MSC: 60J80 60F15 60K37 60K40 PDFBibTeX XMLCite \textit{T. Glatzel} and \textit{J. Nagel}, Electron. J. Probab. 26, Paper No. 98, 19 p. (2021; Zbl 1478.60233) Full Text: DOI arXiv
van der Hofstad, Remco; Hulshof, Tim; Nagel, Jan Random walk on barely supercritical branching random walk. (English) Zbl 1434.60311 Probab. Theory Relat. Fields 177, No. 1-2, 1-53 (2020). MSC: 60K37 82C41 60F17 60K40 PDFBibTeX XMLCite \textit{R. van der Hofstad} et al., Probab. Theory Relat. Fields 177, No. 1--2, 1--53 (2020; Zbl 1434.60311) Full Text: DOI arXiv
Croydon, David; Holmes, Mark Biased random walk on the trace of biased random walk on the trace of \(\dots\). (English) Zbl 1440.60085 Commun. Math. Phys. 375, No. 2, 1341-1372 (2020). MSC: 60K37 60G50 60J80 PDFBibTeX XMLCite \textit{D. Croydon} and \textit{M. Holmes}, Commun. Math. Phys. 375, No. 2, 1341--1372 (2020; Zbl 1440.60085) Full Text: DOI arXiv Link
Holmes, Mark; Kious, Daniel A monotonicity property for once reinforced biased random walk on \(\mathbb{Z}^d\). (English) Zbl 1446.82030 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. III. Interacting particle systems and random walks, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 300, 255-273 (2019). MSC: 82B41 60J80 60J50 60K37 PDFBibTeX XMLCite \textit{M. Holmes} and \textit{D. Kious}, Springer Proc. Math. Stat. 300, 255--273 (2019; Zbl 1446.82030) Full Text: DOI
Faggionato, Alessandra; Salvi, Michele Regularity of biased 1D random walks in random environment. (English) Zbl 1434.60308 ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 2, 1213-1248 (2019). MSC: 60K37 60F05 82B41 PDFBibTeX XMLCite \textit{A. Faggionato} and \textit{M. Salvi}, ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 2, 1213--1248 (2019; Zbl 1434.60308) Full Text: arXiv Link
Berger, Noam; Gantert, Nina; Nagel, Jan The speed of biased random walk among random conductances. (English. French summary) Zbl 1467.60083 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 862-881 (2019). MSC: 60K37 60G42 60J10 PDFBibTeX XMLCite \textit{N. Berger} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 862--881 (2019; Zbl 1467.60083) Full Text: DOI arXiv Euclid
Lübbers, Jan-Erik; Meiners, Matthias The speed of critically biased random walk in a one-dimensional percolation model. (English) Zbl 1419.82025 Electron. J. Probab. 24, Paper No. 23, 29 p. (2019). MSC: 82B43 60K37 82B41 82B26 82B27 PDFBibTeX XMLCite \textit{J.-E. Lübbers} and \textit{M. Meiners}, Electron. J. Probab. 24, Paper No. 23, 29 p. (2019; Zbl 1419.82025) Full Text: DOI arXiv Euclid
Fribergh, Alexander; Popov, Serguei Biased random walks on the interlacement set. (English. French summary) Zbl 1404.60058 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 3, 1341-1358 (2018). MSC: 60G50 60K37 82C41 PDFBibTeX XMLCite \textit{A. Fribergh} and \textit{S. Popov}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 3, 1341--1358 (2018; Zbl 1404.60058) Full Text: DOI arXiv Euclid
Faggionato, Alessandra; Gantert, Nina; Salvi, Michele The velocity of 1d Mott variable-range hopping with external field. (English. French summary) Zbl 1401.60182 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 3, 1165-1203 (2018). MSC: 60K37 82D30 60G50 60G55 82C44 PDFBibTeX XMLCite \textit{A. Faggionato} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 3, 1165--1203 (2018; Zbl 1401.60182) Full Text: DOI arXiv Euclid
Leitmann, Sebastian; Bénichou, Olivier; Franosch, Thomas Time-dependent dynamics of the three-dimensional driven lattice Lorentz gas. (English) Zbl 1400.82230 J. Phys. A, Math. Theor. 51, No. 37, Article ID 375001, 24 p. (2018). MSC: 82C41 82C20 82C23 82C31 81V15 PDFBibTeX XMLCite \textit{S. Leitmann} et al., J. Phys. A, Math. Theor. 51, No. 37, Article ID 375001, 24 p. (2018; Zbl 1400.82230) Full Text: DOI
Alves, Caio; Popov, Serguei Conditional decoupling of random interlacements. (English) Zbl 1394.60095 ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 2, 1027-1063 (2018). MSC: 60K35 60G50 82C41 PDFBibTeX XMLCite \textit{C. Alves} and \textit{S. Popov}, ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 2, 1027--1063 (2018; Zbl 1394.60095) Full Text: arXiv Link
Gantert, Nina; Meiners, Matthias; Müller, Sebastian Regularity of the speed of biased random walk in a one-dimensional percolation model. (English) Zbl 1392.82026 J. Stat. Phys. 170, No. 6, 1123-1160 (2018). MSC: 82B41 82B20 82B26 60F05 60K37 82B43 PDFBibTeX XMLCite \textit{N. Gantert} et al., J. Stat. Phys. 170, No. 6, 1123--1160 (2018; Zbl 1392.82026) Full Text: DOI arXiv
Fribergh, Alexander; Kious, Daniel Scaling limits for sub-ballistic biased random walks in random conductances. (English) Zbl 1430.60089 Ann. Probab. 46, No. 2, 605-686 (2018). MSC: 60K37 82D30 PDFBibTeX XMLCite \textit{A. Fribergh} and \textit{D. Kious}, Ann. Probab. 46, No. 2, 605--686 (2018; Zbl 1430.60089) Full Text: DOI arXiv Euclid
Shiraishi, Daisuke A random walk on a non-intersecting two-sided random walk trace is subdiffusive in low dimensions. (English) Zbl 1388.82014 Trans. Am. Math. Soc. 370, No. 7, 4525-4558 (2018). MSC: 82B41 82D30 05C81 PDFBibTeX XMLCite \textit{D. Shiraishi}, Trans. Am. Math. Soc. 370, No. 7, 4525--4558 (2018; Zbl 1388.82014) Full Text: DOI Link
Berger, Noam; Mukherjee, Chiranjib; Okamura, Kazuki Quenched large deviations for simple random walks on percolation clusters including long-range correlations. (English) Zbl 1391.82026 Commun. Math. Phys. 358, No. 2, 633-673 (2018). Reviewer: E. Ahmed (Mansoura) MSC: 82B41 82B43 60K35 60F10 82B27 PDFBibTeX XMLCite \textit{N. Berger} et al., Commun. Math. Phys. 358, No. 2, 633--673 (2018; Zbl 1391.82026) Full Text: DOI arXiv
Ben Arous, Gérard; Fribergh, Alexander Biased random walks on random graphs. (English) Zbl 1388.60170 Sidoravicius, V. (ed.) et al., Probability and statistical physics in St. Petersburg. St. Petersburg School Probability and Statistical Physics, St. Petersburg State University, St. Petersburg, Russia, June 18–29, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2248-6/hbk; 978-1-4704-2883-9/ebook). Proceedings of Symposia in Pure Mathematics 91, 99-153 (2016). MSC: 60K37 05C80 05C81 60J80 PDFBibTeX XMLCite \textit{G. Ben Arous} and \textit{A. Fribergh}, Proc. Symp. Pure Math. 91, 99--153 (2016; Zbl 1388.60170) Full Text: arXiv
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 PDFBibTeX XMLCite \textit{M. Heydenreich} et al., Commun. Math. Phys. 329, No. 1, 57--115 (2014; Zbl 1302.82050) Full Text: DOI arXiv
Ben Arous, Gérard; Fribergh, Alexander; Sidoravicius, Vladas Lyons-Pemantle-Peres monotonicity problem for high biases. (English) Zbl 1294.05143 Commun. Pure Appl. Math. 67, No. 4, 519-530 (2014). MSC: 05C81 05C05 PDFBibTeX XMLCite \textit{G. Ben Arous} et al., Commun. Pure Appl. Math. 67, No. 4, 519--530 (2014; Zbl 1294.05143) Full Text: DOI arXiv
Fribergh, Alexander; Hammond, Alan Phase transition for the speed of the biased random walk on the supercritical percolation cluster. (English) Zbl 1290.60104 Commun. Pure Appl. Math. 67, No. 2, 173-245 (2014). Reviewer: Guy Jumarie (Montréal) MSC: 60K35 82C26 82C27 82C41 82C28 82C43 PDFBibTeX XMLCite \textit{A. Fribergh} and \textit{A. Hammond}, Commun. Pure Appl. Math. 67, No. 2, 173--245 (2014; Zbl 1290.60104) Full Text: DOI arXiv
Fribergh, Alexander Biased random walk in positive random conductances on \(\mathbb{Z}^{d}\). (English) Zbl 1291.60209 Ann. Probab. 41, No. 6, 3910-3972 (2013). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60K37 60J45 PDFBibTeX XMLCite \textit{A. Fribergh}, Ann. Probab. 41, No. 6, 3910--3972 (2013; Zbl 1291.60209) Full Text: DOI arXiv
Bodineau, Thierry; Graham, Benjamin; Wouts, Marc Metastability in the dilute Ising model. (English) Zbl 1285.60092 Probab. Theory Relat. Fields 157, No. 3-4, 955-1009 (2013). Reviewer: Guy Jumarie (Montréal) MSC: 60K35 82C44 PDFBibTeX XMLCite \textit{T. Bodineau} et al., Probab. Theory Relat. Fields 157, No. 3--4, 955--1009 (2013; Zbl 1285.60092) Full Text: DOI arXiv
Croydon, David A. Slow movement of a random walk on the range of a random walk in the presence of an external field. (English) Zbl 1286.60100 Probab. Theory Relat. Fields 157, No. 3-4, 515-534 (2013). Reviewer: Michele Salvi (Garching) MSC: 60K37 60K35 60G50 PDFBibTeX XMLCite \textit{D. A. Croydon}, Probab. Theory Relat. Fields 157, No. 3--4, 515--534 (2013; Zbl 1286.60100) Full Text: DOI arXiv
Hammond, Alan Stable limit laws for randomly biased walks on supercritical trees. (English) Zbl 1304.60110 Ann. Probab. 41, No. 3A, 1694-1766 (2013). Reviewer: Mihai Gradinaru (Rennes) MSC: 60K37 60G50 60G52 PDFBibTeX XMLCite \textit{A. Hammond}, Ann. Probab. 41, No. 3A, 1694--1766 (2013; Zbl 1304.60110) Full Text: DOI arXiv Euclid
Ben Arous, Gérard; Hammond, Alan Randomly biased walks on subcritical trees. (English) Zbl 1254.60094 Commun. Pure Appl. Math. 65, No. 11, 1481-1527 (2012). Reviewer: Jan Hladký (Coventry) MSC: 60K37 60J80 60K05 PDFBibTeX XMLCite \textit{G. Ben Arous} and \textit{A. Hammond}, Commun. Pure Appl. Math. 65, No. 11, 1481--1527 (2012; Zbl 1254.60094) Full Text: DOI arXiv
Ben Arous, Gérard; Fribergh, Alexander; Gantert, Nina; Hammond, Alan Biased random walks on Galton-Watson trees with leaves. (English) Zbl 1239.60091 Ann. Probab. 40, No. 1, 280-338 (2012). Reviewer: Aleksander Iksanov (Kiev) MSC: 60K37 60F05 60J80 60E07 PDFBibTeX XMLCite \textit{G. Ben Arous} et al., Ann. Probab. 40, No. 1, 280--338 (2012; Zbl 1239.60091) Full Text: DOI arXiv
Gantert, Nina; Mathieu, Pierre; Piatnitski, Andrey Einstein relation for reversible diffusions in a random environment. (English) Zbl 1264.60062 Commun. Pure Appl. Math. 65, No. 2, 187-228 (2012). MSC: 60J60 58J65 82B44 PDFBibTeX XMLCite \textit{N. Gantert} et al., Commun. Pure Appl. Math. 65, No. 2, 187--228 (2012; Zbl 1264.60062) Full Text: DOI arXiv
Xu, Zhong Hao; Han, Dong Rate function of large deviation for a class of nonhomogeneous Markov chains on supercritical percolation network. (English) Zbl 1225.60054 Acta Math. Sin., Engl. Ser. 27, No. 9, 1813-1830 (2011). MSC: 60F10 60J10 60K35 PDFBibTeX XMLCite \textit{Z. H. Xu} and \textit{D. Han}, Acta Math. Sin., Engl. Ser. 27, No. 9, 1813--1830 (2011; Zbl 1225.60054) 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 Conditional percolation on one-dimensional lattices. (English) Zbl 1196.60159 Adv. Appl. Probab. 41, No. 4, 1102-1122 (2009). Reviewer: Piotr Garbaczewski (Opole) MSC: 60K35 82B43 60J10 PDFBibTeX XMLCite \textit{M. Axelson-Fisk} and \textit{O. Häggström}, Adv. Appl. Probab. 41, No. 4, 1102--1122 (2009; Zbl 1196.60159) Full Text: DOI
Stauffer, D. Classical percolation. (English) Zbl 1181.82038 Sen, Asok K. (ed.) et al., Quantum and semi-classical percolation and breakdown in disordered solids. Berlin: Springer (ISBN 978-3-540-85427-2/hbk; 978-3-540-85428-9/ebook). Lecture Notes in Physics 762, 1-19 (2009). MSC: 82B43 82B20 28A80 82B28 PDFBibTeX XMLCite \textit{D. Stauffer}, Lect. Notes Phys. 762, 1--19 (2009; Zbl 1181.82038) Full Text: DOI
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
Croydon, David A. Random walk on the range of random walk. (English) Zbl 1184.60011 J. Stat. Phys. 136, No. 2, 349-372 (2009). Reviewer: Piotr Garbaczewski (Opole) MSC: 60G50 82B43 60K35 05C80 82B41 60G17 60K37 PDFBibTeX XMLCite \textit{D. A. Croydon}, J. Stat. Phys. 136, No. 2, 349--372 (2009; Zbl 1184.60011) Full Text: DOI arXiv
Kumagai, Takashi; Misumi, Jun Heat kernel estimates for strongly recurrent random walk on random media. (English) Zbl 1159.60029 J. Theor. Probab. 21, No. 4, 910-935 (2008). Reviewer: Daniel Boivin (Brest) MSC: 60J45 05C80 35K05 82B43 PDFBibTeX XMLCite \textit{T. Kumagai} and \textit{J. Misumi}, J. Theor. Probab. 21, No. 4, 910--935 (2008; Zbl 1159.60029) Full Text: DOI arXiv
Comets, Francis; Simenhaus, François Random walk delayed on percolation clusters. (English) Zbl 1153.60053 J. Appl. Probab. 45, No. 3, 689-702 (2008). MSC: 60K35 60K37 60F15 82D30 PDFBibTeX XMLCite \textit{F. Comets} and \textit{F. Simenhaus}, J. Appl. Probab. 45, No. 3, 689--702 (2008; Zbl 1153.60053) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. T. Barlow} et al., Commun. Math. Phys. 278, No. 2, 385--431 (2008; Zbl 1144.82030) Full Text: DOI arXiv
Horgan, Graham; Molchanov, Ilya; Shcherbakov, Vadim; Zuyev, Sergei Approximate models for bacteria leaching through porous media. (English) Zbl 1113.92063 Appl. Math. Comput. 188, No. 2, 1941-1954 (2007). MSC: 92D40 60G35 PDFBibTeX XMLCite \textit{G. Horgan} et al., Appl. Math. Comput. 188, No. 2, 1941--1954 (2007; Zbl 1113.92063) Full Text: DOI
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
Komorowski, T.; Olla, S. Einstein relation for random walks in random environments. (English) Zbl 1076.60089 Stochastic Processes Appl. 115, No. 8, 1279-1301 (2005). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60K37 60F17 35B27 60G44 PDFBibTeX XMLCite \textit{T. Komorowski} and \textit{S. Olla}, Stochastic Processes Appl. 115, No. 8, 1279--1301 (2005; Zbl 1076.60089) Full Text: DOI Link