Chan, Swee Hong; Greco, Lila; Levine, Lionel; Li, Peter Random walks with local memory. (English) Zbl 1468.60055 J. Stat. Phys. 184, No. 1, Paper No. 6, 28 p. (2021). MSC: 60G50 60K37 60K35 82C41 PDF BibTeX XML Cite \textit{S. H. Chan} et al., J. Stat. Phys. 184, No. 1, Paper No. 6, 28 p. (2021; Zbl 1468.60055) Full Text: DOI arXiv OpenURL
Dolgopyat, Dmitry; Goldsheid, Ilya Constructive approach to limit theorems for recurrent diffusive random walks on a strip. (English) Zbl 1473.82014 Asymptotic Anal. 122, No. 3-4, 271-325 (2021). MSC: 82B41 60F05 60K37 60G50 PDF BibTeX XML Cite \textit{D. Dolgopyat} and \textit{I. Goldsheid}, Asymptotic Anal. 122, No. 3--4, 271--325 (2021; Zbl 1473.82014) Full Text: DOI arXiv OpenURL
Ishiwata, Satoshi; Kawabi, Hiroshi; Namba, Ryuya Central limit theorems for non-symmetric random walks on nilpotent covering graphs. II. (English) Zbl 1478.60109 Potential Anal. 55, No. 1, 127-166 (2021). MSC: 60F17 60G50 60J10 22E25 PDF BibTeX XML Cite \textit{S. Ishiwata} et al., Potential Anal. 55, No. 1, 127--166 (2021; Zbl 1478.60109) Full Text: DOI arXiv OpenURL
Ishiwata, Satoshi; Kawabi, Hiroshi; Namba, Ryuya Central limit theorems for non-symmetric random walks on nilpotent covering graphs. I. (English) Zbl 1476.60067 Electron. J. Probab. 25, Paper No. 86, 46 p. (2020). MSC: 60F17 60G50 60J10 22E25 PDF BibTeX XML Cite \textit{S. Ishiwata} et al., Electron. J. Probab. 25, Paper No. 86, 46 p. (2020; Zbl 1476.60067) Full Text: DOI arXiv Euclid OpenURL
Orenshtein, Tal; Sabot, Christophe Random walks in random hypergeometric environment. (English) Zbl 1441.60085 Electron. J. Probab. 25, Paper No. 33, 21 p. (2020). MSC: 60K35 60K37 PDF BibTeX XML Cite \textit{T. Orenshtein} and \textit{C. Sabot}, Electron. J. Probab. 25, Paper No. 33, 21 p. (2020; Zbl 1441.60085) Full Text: DOI arXiv Euclid OpenURL
Piatnitski, A.; Zhizhina, E. Stochastic homogenization of convolution type operators. (English. French summary) Zbl 1433.35006 J. Math. Pures Appl. (9) 134, 36-71 (2020). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35B27 45E10 60H25 47B25 PDF BibTeX XML Cite \textit{A. Piatnitski} and \textit{E. Zhizhina}, J. Math. Pures Appl. (9) 134, 36--71 (2020; Zbl 1433.35006) Full Text: DOI arXiv OpenURL
Faggionato, Alessandra; Gantert, Nina; Salvi, Michele Einstein relation and linear response in one-dimensional Mott variable-range hopping. (English. French summary) Zbl 1467.60087 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 3, 1477-1508 (2019). MSC: 60K37 60J25 60G55 82D30 PDF BibTeX XML Cite \textit{A. Faggionato} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 3, 1477--1508 (2019; Zbl 1467.60087) Full Text: DOI arXiv Euclid OpenURL
Dolgopyat, Dmitry; Goldsheid, Ilya Invariant measure for random walks on ergodic environments on a strip. (English) Zbl 1466.60217 Ann. Probab. 47, No. 4, 2494-2528 (2019). MSC: 60K37 60J05 82C44 PDF BibTeX XML Cite \textit{D. Dolgopyat} and \textit{I. Goldsheid}, Ann. Probab. 47, No. 4, 2494--2528 (2019; Zbl 1466.60217) Full Text: DOI Euclid OpenURL
Rémillard, Bruno N.; Vaillancourt, Jean Detecting periodicity from the trajectory of a random walk in random environment. (English) Zbl 1454.60148 Stat. Probab. Lett. 155, Article ID 108568, 10 p. (2019). MSC: 60K37 60G50 62M05 PDF BibTeX XML Cite \textit{B. N. Rémillard} and \textit{J. Vaillancourt}, Stat. Probab. Lett. 155, Article ID 108568, 10 p. (2019; Zbl 1454.60148) Full Text: DOI OpenURL
Forien, Raphaël The stepping stone model in a random environment and the effect of local heterogeneities on isolation by distance patterns. (The stepping stone model in a random environment and the effect of local heterogneities on isolation by distance patterns.) (English) Zbl 1466.60069 Electron. J. Probab. 24, Paper No. 57, 35 p. (2019). MSC: 60F17 60G99 60H15 60J25 PDF BibTeX XML Cite \textit{R. Forien}, Electron. J. Probab. 24, Paper No. 57, 35 p. (2019; Zbl 1466.60069) Full Text: DOI arXiv Euclid OpenURL
Mathieu, P.; Piatnitski, A. Steady states, fluctuation-dissipation theorems and homogenization for reversible diffusions in a random environment. (English) Zbl 1408.35235 Arch. Ration. Mech. Anal. 230, No. 1, 277-320 (2018). Reviewer: Feng-Yu Wang (Swansea) MSC: 35R60 35B65 60J60 60K37 PDF BibTeX XML Cite \textit{P. Mathieu} and \textit{A. Piatnitski}, Arch. Ration. Mech. Anal. 230, No. 1, 277--320 (2018; Zbl 1408.35235) Full Text: DOI arXiv OpenURL
Wang, Hua-Ming Law of large numbers for random walk with unbounded jumps and birth and death process with bounded jumps in random environment. (English) Zbl 1412.60138 J. Theor. Probab. 31, No. 2, 619-642 (2018). Reviewer: Heinrich Hering (Rockenberg) MSC: 60K37 60J80 60J75 60F15 PDF BibTeX XML Cite \textit{H.-M. Wang}, J. Theor. Probab. 31, No. 2, 619--642 (2018; Zbl 1412.60138) Full Text: DOI arXiv OpenURL
Dolgopyat, D.; Goldsheid, I. Central limit theorem for recurrent random walks on a strip with bounded potential. (English) Zbl 1392.60028 Nonlinearity 31, No. 7, 3381-3412 (2018). MSC: 60F05 60K37 60J05 82C44 PDF BibTeX XML Cite \textit{D. Dolgopyat} and \textit{I. Goldsheid}, Nonlinearity 31, No. 7, 3381--3412 (2018; Zbl 1392.60028) Full Text: DOI Link OpenURL
Deuschel, Jean-Dominique; Guo, Xiaoqin; Ramírez, Alejandro F. Quenched invariance principle for random walk in time-dependent balanced random environment. (English. French summary) Zbl 1391.35177 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 1, 363-384 (2018). MSC: 35K10 60K37 82D30 PDF BibTeX XML Cite \textit{J.-D. Deuschel} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 1, 363--384 (2018; Zbl 1391.35177) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{N. Berger} et al., Commun. Math. Phys. 358, No. 2, 633--673 (2018; Zbl 1391.82026) Full Text: DOI arXiv OpenURL
Ishiwata, Satoshi; Kawabi, Hiroshi; Kotani, Motoko Long time asymptotics of non-symmetric random walks on crystal lattices. (English) Zbl 1360.60055 J. Funct. Anal. 272, No. 4, 1553-1624 (2017). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 60F05 60G50 60J10 60B10 PDF BibTeX XML Cite \textit{S. Ishiwata} et al., J. Funct. Anal. 272, No. 4, 1553--1624 (2017; Zbl 1360.60055) Full Text: DOI arXiv OpenURL
Scheinhardt, Werner R. W.; Kroese, Dirk P. A comparison of random walks in dependent random environments. (English) Zbl 1337.60251 Adv. Appl. Probab. 48, No. 1, 199-214 (2016). MSC: 60K37 60G50 82B41 PDF BibTeX XML Cite \textit{W. R. W. Scheinhardt} and \textit{D. P. Kroese}, Adv. Appl. Probab. 48, No. 1, 199--214 (2016; Zbl 1337.60251) Full Text: DOI Euclid OpenURL
Ammari, Habib; Garnier, Josselin; Giovangigli, Laure; Jing, Wenjia; Seo, Jin-Keun Spectroscopic imaging of a dilute cell suspension. (English. French summary) Zbl 1401.35332 J. Math. Pures Appl. (9) 105, No. 5, 603-661 (2016). Reviewer: Baasansuren Jadamba (Rochester) MSC: 35R30 35B30 35B27 PDF BibTeX XML Cite \textit{H. Ammari} et al., J. Math. Pures Appl. (9) 105, No. 5, 603--661 (2016; Zbl 1401.35332) Full Text: DOI arXiv OpenURL
Bruna, Maria; Chapman, S. Jonathan Diffusion in spatially varying porous media. (English) Zbl 1320.35038 SIAM J. Appl. Math. 75, No. 4, 1648-1674 (2015). MSC: 35B27 35Q84 60J70 82C31 PDF BibTeX XML Cite \textit{M. Bruna} and \textit{S. J. Chapman}, SIAM J. Appl. Math. 75, No. 4, 1648--1674 (2015; Zbl 1320.35038) Full Text: DOI arXiv OpenURL
Drewitz, Alexander; Ramírez, Alejandro F. Selected topics in random walks in random environment. (English) Zbl 1329.82056 Ramírez, Alejandro F. (ed.) et al., Topics in percolative and disordered systems. Pan-American Advanced Studies Institute (PASI), Santiago de Chile, Chile and Buenos Aires, Argentina, January 2012. New York, NY: Springer (ISBN 978-1-4939-0338-2/hbk; 978-1-4939-0339-9/ebook). Springer Proceedings in Mathematics & Statistics 69, 23-83 (2014). MSC: 82B41 60K37 82B44 PDF BibTeX XML Cite \textit{A. Drewitz} and \textit{A. F. Ramírez}, Springer Proc. Math. Stat. 69, 23--83 (2014; Zbl 1329.82056) Full Text: DOI arXiv OpenURL
Zhang, Zhongyang; Zhang, Lixin Scaling limits for one-dimensional long-range percolation: using the corrector method. (English) Zbl 1310.60143 Stat. Probab. Lett. 83, No. 11, 2459-2466 (2013). MSC: 60K35 60K37 60F17 60G50 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{L. Zhang}, Stat. Probab. Lett. 83, No. 11, 2459--2466 (2013; Zbl 1310.60143) Full Text: DOI OpenURL
Hong, Wenming; Wang, Huaming Intrinsic branching structure within (L-1) random walk in random environment and its applications. (English) Zbl 1274.60256 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 1, Article ID 1350006, 14 p. (2013). MSC: 60J80 60G50 PDF BibTeX XML Cite \textit{W. Hong} and \textit{H. Wang}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 1, Article ID 1350006, 14 p. (2013; Zbl 1274.60256) Full Text: DOI arXiv OpenURL
Cardaliaguet, Pierre; Souganidis, Panagiotis E. Homogenization and enhancement of the \(G\)-equation in random environments. (English) Zbl 1284.60126 Commun. Pure Appl. Math. 66, No. 10, 1582-1628 (2013). Reviewer: Guy Jumarie (Montréal) MSC: 60H15 35R60 60K37 PDF BibTeX XML Cite \textit{P. Cardaliaguet} and \textit{P. E. Souganidis}, Commun. Pure Appl. Math. 66, No. 10, 1582--1628 (2013; Zbl 1284.60126) Full Text: DOI arXiv OpenURL
Caputo, P.; Faggionato, A.; Prescott, T. Invariance principle for Mott variable range hopping and other walks on point processes. (English. French summary) Zbl 1296.60268 Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 3, 654-697 (2013). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60K37 60F17 60G55 PDF BibTeX XML Cite \textit{P. Caputo} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 3, 654--697 (2013; Zbl 1296.60268) Full Text: DOI arXiv Euclid OpenURL
Andres, S.; Barlow, M. T.; Deuschel, J.-D.; Hambly, B. M. Invariance principle for the random conductance model. (English) Zbl 1356.60174 Probab. Theory Relat. Fields 156, No. 3-4, 535-580 (2013). MSC: 60K37 60F17 82C41 PDF BibTeX XML Cite \textit{S. Andres} et al., Probab. Theory Relat. Fields 156, No. 3--4, 535--580 (2013; Zbl 1356.60174) Full Text: DOI OpenURL
Gloria, Antoine; Mourrat, Jean-Christophe Quantitative version of the Kipnis-Varadhan theorem and Monte Carlo approximation of homogenized coefficients. (English) Zbl 1276.35026 Ann. Appl. Probab. 23, No. 4, 1544-1583 (2013). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 37A30 60K37 60H30 65C05 60H35 60G50 65C50 PDF BibTeX XML Cite \textit{A. Gloria} and \textit{J.-C. Mourrat}, Ann. Appl. Probab. 23, No. 4, 1544--1583 (2013; Zbl 1276.35026) Full Text: DOI arXiv Euclid OpenURL
Sabot, Christophe Random Dirichlet environment viewed from the particle in dimension \(d\geq 3\). (English) Zbl 1269.60077 Ann. Probab. 41, No. 2, 722-743 (2013). MSC: 60K37 60K35 PDF BibTeX XML Cite \textit{C. Sabot}, Ann. Probab. 41, No. 2, 722--743 (2013; Zbl 1269.60077) Full Text: DOI arXiv Euclid OpenURL
Derrien, Jean-Marc; Plantevin, Frédérique A symmetry property for a class of random walks in stationary random environments on \(\mathbb Z\). (English) Zbl 1255.60120 J. Appl. Probab. 49, No. 2, 338-350 (2012). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60J10 60K37 PDF BibTeX XML Cite \textit{J.-M. Derrien} and \textit{F. Plantevin}, J. Appl. Probab. 49, No. 2, 338--350 (2012; Zbl 1255.60120) Full Text: DOI Euclid OpenURL
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 PDF BibTeX XML Cite \textit{N. Gantert} et al., Commun. Pure Appl. Math. 65, No. 2, 187--228 (2012; Zbl 1264.60062) Full Text: DOI arXiv OpenURL
Yilmaz, Atilla Harmonic functions, \(h\)-transform and large deviations for random walks in random environments in dimensions four and higher. (English) Zbl 1225.60160 Ann. Probab. 39, No. 2, 471-506 (2011). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K37 60F10 82C41 PDF BibTeX XML Cite \textit{A. Yilmaz}, Ann. Probab. 39, No. 2, 471--506 (2011; Zbl 1225.60160) Full Text: DOI arXiv OpenURL
Davini, Andrea; Siconolfi, Antonio Metric techniques for convex stationary ergodic Hamiltonians. (English) Zbl 1213.49036 Calc. Var. Partial Differ. Equ. 40, No. 3-4, 391-421 (2011). MSC: 49L25 35D40 35C99 93E20 PDF BibTeX XML Cite \textit{A. Davini} and \textit{A. Siconolfi}, Calc. Var. Partial Differ. Equ. 40, No. 3--4, 391--421 (2011; Zbl 1213.49036) Full Text: DOI OpenURL
Yilmaz, Atilla Averaged large deviations for random walk in a random environment. (English) Zbl 1201.60098 Ann. Inst. Henri Poincaré, Probab. Stat. 46, No. 3, 853-868 (2010). MSC: 60K37 60F10 82C44 PDF BibTeX XML Cite \textit{A. Yilmaz}, Ann. Inst. Henri Poincaré, Probab. Stat. 46, No. 3, 853--868 (2010; Zbl 1201.60098) Full Text: DOI arXiv EuDML OpenURL
Comets, Francis; Popov, Serguei; Schütz, Gunter M.; Vachkovskaia, Marina Quenched invariance principle for the Knudsen stochastic billiard in a random tube. (English) Zbl 1200.60091 Ann. Probab. 38, No. 3, 1019-1061 (2010). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60K37 37D50 60J05 PDF BibTeX XML Cite \textit{F. Comets} et al., Ann. Probab. 38, No. 3, 1019--1061 (2010; Zbl 1200.60091) Full Text: DOI arXiv OpenURL
Caffarelli, Luis A.; Souganidis, Panagiotis E. Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media. (English) Zbl 1192.35048 Invent. Math. 180, No. 2, 301-360 (2010). Reviewer: Marius Ghergu (Dublin) MSC: 35J60 35J15 35B27 PDF BibTeX XML Cite \textit{L. A. Caffarelli} and \textit{P. E. Souganidis}, Invent. Math. 180, No. 2, 301--360 (2010; Zbl 1192.35048) Full Text: DOI OpenURL
Barlow, M. T.; Deuschel, J.-D. Invariance principle for the random conductance model with unbounded conductances. (English) Zbl 1189.60187 Ann. Probab. 38, No. 1, 234-276 (2010). Reviewer: Guy Jumarie (Montréal) MSC: 60K37 60F17 82C41 PDF BibTeX XML Cite \textit{M. T. Barlow} and \textit{J. D. Deuschel}, Ann. Probab. 38, No. 1, 234--276 (2010; Zbl 1189.60187) Full Text: DOI arXiv OpenURL
Boivin, Daniel Tail estimates for homogenization theorems in random media. (English) Zbl 1187.60090 ESAIM, Probab. Stat. 13, 51-69 (2009). Reviewer: Guy Jumarie (Montréal) MSC: 60K37 35B27 82B44 PDF BibTeX XML Cite \textit{D. Boivin}, ESAIM, Probab. Stat. 13, 51--69 (2009; Zbl 1187.60090) Full Text: DOI arXiv EuDML OpenURL
Rhodes, Rémi; Vargas, Vincent Scaling limits for symmetric Itô-Lévy processes in random medium. (English) Zbl 1189.60068 Stochastic Processes Appl. 119, No. 12, 4004-4033 (2009). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60F17 28D05 60G51 60G10 35B27 PDF BibTeX XML Cite \textit{R. Rhodes} and \textit{V. Vargas}, Stochastic Processes Appl. 119, No. 12, 4004--4033 (2009; Zbl 1189.60068) Full Text: DOI arXiv OpenURL
Schmitz, Tom On the equivalence of the static and dynamic points of view for diffusions in a random environment. (English) Zbl 1169.60329 Stochastic Processes Appl. 119, No. 8, 2501-2522 (2009). MSC: 60K37 82D30 PDF BibTeX XML Cite \textit{T. Schmitz}, Stochastic Processes Appl. 119, No. 8, 2501--2522 (2009; Zbl 1169.60329) Full Text: DOI OpenURL
Yilmaz, Atilla Quenched large deviations for random walk in a random environment. (English) Zbl 1168.60370 Commun. Pure Appl. Math. 62, No. 8, 1033-1075 (2009). MSC: 60K37 60G50 60F10 PDF BibTeX XML Cite \textit{A. Yilmaz}, Commun. Pure Appl. Math. 62, No. 8, 1033--1075 (2009; Zbl 1168.60370) Full Text: DOI arXiv OpenURL
Rhodes, Rémi Diffusion in a locally stationary random environment. (English) Zbl 1163.60049 Probab. Theory Relat. Fields 143, No. 3-4, 545-568 (2009). MSC: 60K37 60F17 PDF BibTeX XML Cite \textit{R. Rhodes}, Probab. Theory Relat. Fields 143, No. 3--4, 545--568 (2009; Zbl 1163.60049) Full Text: DOI Link OpenURL
Yilmaz, Atilla Large deviations for random walk in a space-time product environment. (English) Zbl 1159.60355 Ann. Probab. 37, No. 1, 189-205 (2009). MSC: 60K37 60F10 PDF BibTeX XML Cite \textit{A. Yilmaz}, Ann. Probab. 37, No. 1, 189--205 (2009; Zbl 1159.60355) Full Text: DOI arXiv OpenURL
del Tenno, Ivan Special examples of diffusions in random environment. (English) Zbl 1159.82325 Stochastic Processes Appl. 119, No. 3, 924-936 (2009). MSC: 82D30 60K37 PDF BibTeX XML Cite \textit{I. del Tenno}, Stochastic Processes Appl. 119, No. 3, 924--936 (2009; Zbl 1159.82325) Full Text: DOI arXiv OpenURL
Derrien, Jean-Marc Heat kernel decay on a stationary environment of conductances. (Majoration du noyau de la chaleur en environnement stationnaire de conductances.) (French) Zbl 1156.60075 C. R., Math., Acad. Sci. Paris 347, No. 1-2, 85-88 (2009). MSC: 60K37 60G50 PDF BibTeX XML Cite \textit{J.-M. Derrien}, C. R., Math., Acad. Sci. Paris 347, No. 1--2, 85--88 (2009; Zbl 1156.60075) Full Text: DOI OpenURL
Deuschel, Jean-Dominique; Kösters, Holger The quenched invariance principle for random walks in random environments admitting a bounded cycle representation. (English) Zbl 1176.60085 Ann. Inst. Henri Poincaré, Probab. Stat. 44, No. 3, 574-591 (2008). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60K37 60F17 PDF BibTeX XML Cite \textit{J.-D. Deuschel} and \textit{H. Kösters}, Ann. Inst. Henri Poincaré, Probab. Stat. 44, No. 3, 574--591 (2008; Zbl 1176.60085) Full Text: DOI arXiv EuDML OpenURL
Lenci, Marco Central limit theorem and recurrence for random walks in bistochastic random environments. (English) Zbl 1159.81328 J. Math. Phys. 49, No. 12, 125213, 9 p. (2008). MSC: 60K37 60F05 82B41 82B44 PDF BibTeX XML Cite \textit{M. Lenci}, J. Math. Phys. 49, No. 12, 125213, 9 p. (2008; Zbl 1159.81328) Full Text: DOI arXiv OpenURL
Roitershtein, Alexander Transient random walks on a strip in a random environment. (English) Zbl 1167.60023 Ann. Probab. 36, No. 6, 2354-2387 (2008). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K37 60F05 60F10 PDF BibTeX XML Cite \textit{A. Roitershtein}, Ann. Probab. 36, No. 6, 2354--2387 (2008; Zbl 1167.60023) Full Text: DOI arXiv OpenURL
Kim, Inwon C. Homogenization of a model problem on contact angle dynamics. (English) Zbl 1161.35312 Commun. Partial Differ. Equations 33, No. 7, 1235-1271 (2008). MSC: 35B27 35K55 PDF BibTeX XML Cite \textit{I. C. Kim}, Commun. Partial Differ. Equations 33, No. 7, 1235--1271 (2008; Zbl 1161.35312) Full Text: DOI OpenURL
Mathieu, P. Quenched invariance principles for random walks with random conductances. (English) Zbl 1214.82044 J. Stat. Phys. 130, No. 5, 1025-1046 (2008). MSC: 82B41 82C41 82B43 PDF BibTeX XML Cite \textit{P. Mathieu}, J. Stat. Phys. 130, No. 5, 1025--1046 (2008; Zbl 1214.82044) Full Text: DOI arXiv OpenURL
Peres, Yuval; Zeitouni, Ofer A central limit theorem for biased random walks on Galton-Watson trees. (English) Zbl 1141.60073 Probab. Theory Relat. Fields 140, No. 3-4, 595-629 (2008). Reviewer: Utkir Rozikov (Tashkent) MSC: 60K37 60F05 60J80 82C41 PDF BibTeX XML Cite \textit{Y. Peres} and \textit{O. Zeitouni}, Probab. Theory Relat. Fields 140, No. 3--4, 595--629 (2008; Zbl 1141.60073) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Rhodes, Rémi On homogenization of space-time dependent and degenerate random flows. (English) Zbl 1127.60027 Stochastic Processes Appl. 117, No. 10, 1561-1585 (2007). Reviewer: George Stoica (Saint John) MSC: 60F17 60J60 PDF BibTeX XML Cite \textit{R. Rhodes}, Stochastic Processes Appl. 117, No. 10, 1561--1585 (2007; Zbl 1127.60027) Full Text: DOI arXiv OpenURL
Kim, Inwon C. Homogenization of the free boundary velocity. (English) Zbl 1162.35011 Arch. Ration. Mech. Anal. 185, No. 1, 69-103 (2007). Reviewer: Marco Codegone (Torino) MSC: 35B27 35R35 PDF BibTeX XML Cite \textit{I. C. Kim}, Arch. Ration. Mech. Anal. 185, No. 1, 69--103 (2007; Zbl 1162.35011) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Goergen, Laurent Limit velocity and zero-one laws for diffusions in random environment. (English) Zbl 1107.60070 Ann. Appl. Probab. 16, No. 3, 1086-1123 (2006). MSC: 60K37 82D30 60J60 PDF BibTeX XML Cite \textit{L. Goergen}, Ann. Appl. Probab. 16, No. 3, 1086--1123 (2006; Zbl 1107.60070) Full Text: DOI arXiv OpenURL
Sznitman, Alain-Sol; Zeitouni, Ofer An invariance principle for isotropic diffusions in random environment. (English) Zbl 1105.60079 Invent. Math. 164, No. 3, 455-567 (2006). Reviewer: A. C. D. van Enter (Groningen) MSC: 60K37 60F17 82C44 82D30 82B44 PDF BibTeX XML Cite \textit{A.-S. Sznitman} and \textit{O. Zeitouni}, Invent. Math. 164, No. 3, 455--567 (2006; Zbl 1105.60079) Full Text: DOI Link OpenURL
Mustapha, Sami Gaussian estimates for spatially inhomogeneous random walks on \(\mathbb Z^d\). (English) Zbl 1102.60062 Ann. Probab. 34, No. 1, 264-283 (2006). Reviewer: Mohamed Hmissi (Tunis) MSC: 60J10 60J35 60J45 31C20 PDF BibTeX XML Cite \textit{S. Mustapha}, Ann. Probab. 34, No. 1, 264--283 (2006; Zbl 1102.60062) Full Text: DOI arXiv OpenURL
Lions, Pierre-Louis; Souganidis, Panagiotis E. Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. (English) Zbl 1135.35092 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 5, 667-677 (2005). Reviewer: Marco Biroli (Milano) MSC: 35R15 35B50 35J15 PDF BibTeX XML Cite \textit{P.-L. Lions} and \textit{P. E. Souganidis}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 5, 667--677 (2005; Zbl 1135.35092) Full Text: DOI Numdam Numdam EuDML OpenURL
Olla, S.; Siri, P. Homogenization of a bond diffusion in a locally ergodic random environment. (English) Zbl 1075.60129 Stochastic Processes Appl. 109, No. 2, 317-326 (2004). Reviewer: Jan Seidler (Praha) MSC: 60K37 60F17 82D30 PDF BibTeX XML Cite \textit{S. Olla} and \textit{P. Siri}, Stochastic Processes Appl. 109, No. 2, 317--326 (2004; Zbl 1075.60129) Full Text: DOI Link OpenURL
Sznitman, Alain-Sol; Zeitouni, Ofer On the diffusive behavior of isotropic diffusions in a random environment. (English. Abridged French version) Zbl 1051.60097 C. R., Math., Acad. Sci. Paris 339, No. 6, 429-434 (2004). MSC: 60K37 60J60 PDF BibTeX XML Cite \textit{A.-S. Sznitman} and \textit{O. Zeitouni}, C. R., Math., Acad. Sci. Paris 339, No. 6, 429--434 (2004; Zbl 1051.60097) Full Text: DOI OpenURL
Comets, Francis; Zeitouni, Ofer A law of large numbers for random walks in random mixing environments. (English) Zbl 1078.60089 Ann. Probab. 32, No. 1B, 880-914 (2004). MSC: 60K37 60F15 82B41 82B44 PDF BibTeX XML Cite \textit{F. Comets} and \textit{O. Zeitouni}, Ann. Probab. 32, No. 1B, 880--914 (2004; Zbl 1078.60089) Full Text: DOI arXiv OpenURL
Boivin, D.; Depauw, J. Spectral homogenization of reversible random walks on \(\mathbb Z^d\) in a random environment. (English) Zbl 1075.35507 Stochastic Processes Appl. 104, No. 1, 29-56 (2003). MSC: 35B27 35R60 60K37 82B41 PDF BibTeX XML Cite \textit{D. Boivin} and \textit{J. Depauw}, Stochastic Processes Appl. 104, No. 1, 29--56 (2003; Zbl 1075.35507) Full Text: DOI OpenURL
Rassoul-Agha, Firas The point of view of the particle on the law of large numbers for random walks in a mixing random environment. (English) Zbl 1039.60089 Ann. Probab. 31, No. 3, 1441-1463 (2003). MSC: 60K40 82D30 60K37 PDF BibTeX XML Cite \textit{F. Rassoul-Agha}, Ann. Probab. 31, No. 3, 1441--1463 (2003; Zbl 1039.60089) Full Text: DOI arXiv Euclid OpenURL
Sznitman, Alain-Sol On new examples of ballistic random walks in random environment. (English) Zbl 1017.60104 Ann. Probab. 31, No. 1, 285-322 (2003). Reviewer: Wolfgang König (Berlin) MSC: 60K37 82B44 82D30 82B41 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Ann. Probab. 31, No. 1, 285--322 (2003; Zbl 1017.60104) Full Text: DOI OpenURL
Fannjiang, Albert; Komorowski, Tomasz; Peszat, Szymon Lagrangian dynamics for a passive tracer in a class of Gaussian Markovian flows. (English) Zbl 1058.60048 Stochastic Processes Appl. 97, No. 2, 171-198 (2002). Reviewer: Jan Seidler (Praha) MSC: 60H15 60F17 35B27 76F25 PDF BibTeX XML Cite \textit{A. Fannjiang} et al., Stochastic Processes Appl. 97, No. 2, 171--198 (2002; Zbl 1058.60048) Full Text: DOI OpenURL
Shen, Lian Asymptotic properties of certain anisotropic walks in random media. (English) Zbl 1016.60092 Ann. Appl. Probab. 12, No. 2, 477-510 (2002). Reviewer: Utkir Rozikov (Tashkent) MSC: 60K37 82D30 PDF BibTeX XML Cite \textit{L. Shen}, Ann. Appl. Probab. 12, No. 2, 477--510 (2002; Zbl 1016.60092) Full Text: DOI OpenURL
Brémont, Julien On some random walks on \(\mathbb{Z}\) in random medium. (English) Zbl 1021.60034 Ann. Probab. 30, No. 3, 1266-1312 (2002). Reviewer: Yuri Kozitsky (Lublin) MSC: 60G50 82B41 82B44 82C26 60K37 60J10 PDF BibTeX XML Cite \textit{J. Brémont}, Ann. Probab. 30, No. 3, 1266--1312 (2002; Zbl 1021.60034) Full Text: DOI OpenURL
Sznitman, Alain-Sol; Zerner, Martin A law of large numbers for random walks in random environment. (English) Zbl 0965.60100 Ann. Probab. 27, No. 4, 1851-1869 (1999). Reviewer: W.König (Berlin) MSC: 60K40 82D30 PDF BibTeX XML Cite \textit{A.-S. Sznitman} and \textit{M. Zerner}, Ann. Probab. 27, No. 4, 1851--1869 (1999; Zbl 0965.60100) Full Text: DOI OpenURL
Fannjiang, Albert; Komorowski, Tomasz An invariance principle for diffusion in turbulence. (English) Zbl 0943.60030 Ann. Probab. 27, No. 2, 751-781 (1999). Reviewer: Zdzislaw Rychlik (Lublin) MSC: 60F17 60G44 35B27 PDF BibTeX XML Cite \textit{A. Fannjiang} and \textit{T. Komorowski}, Ann. Probab. 27, No. 2, 751--781 (1999; Zbl 0943.60030) Full Text: DOI OpenURL
Fannjiang, Albert; Papanicolaou, George Convection-enhanced diffusion for random flows. (English) Zbl 0939.76079 J. Stat. Phys. 88, No. 5-6, 1033-1076 (1997). MSC: 76M35 76R50 82C31 82C43 PDF BibTeX XML Cite \textit{A. Fannjiang} and \textit{G. Papanicolaou}, J. Stat. Phys. 88, No. 5--6, 1033--1076 (1997; Zbl 0939.76079) Full Text: DOI OpenURL
Fannjiang, Albert; Komorowski, Tomasz A martingale approach to homogenization of unbounded random flows. (English) Zbl 0902.60028 Ann. Probab. 25, No. 4, 1872-1894 (1997). MSC: 60F17 35B27 60G44 60H10 PDF BibTeX XML Cite \textit{A. Fannjiang} and \textit{T. Komorowski}, Ann. Probab. 25, No. 4, 1872--1894 (1997; Zbl 0902.60028) Full Text: DOI OpenURL
Fannjiang, Albert; Papanicolaou, George Diffusion in turbulence. (English) Zbl 0847.60062 Probab. Theory Relat. Fields 105, No. 3, 279-334 (1996). MSC: 60J60 76R50 35R60 PDF BibTeX XML Cite \textit{A. Fannjiang} and \textit{G. Papanicolaou}, Probab. Theory Relat. Fields 105, No. 3, 279--334 (1996; Zbl 0847.60062) Full Text: DOI OpenURL
Boldrighini, C.; Ignatyuk, I. A.; Malyshev, V. A.; Pellegrinotti, A. Random walk in dynamic environment with mutual influence. (English) Zbl 0758.60065 Stochastic Processes Appl. 41, No. 1, 157-177 (1992). Reviewer: P.Holicky (Praha) MSC: 60G50 60K35 PDF BibTeX XML Cite \textit{C. Boldrighini} et al., Stochastic Processes Appl. 41, No. 1, 157--177 (1992; Zbl 0758.60065) Full Text: DOI OpenURL
Avellaneda, Marco; Majda, Andrew Mathematical models with exact renormalization for turbulent transport. II: Fractal interfaces, non-Gaussian statistics and the sweeping effect. (English) Zbl 0754.76046 Commun. Math. Phys. 146, No. 1, 139-204 (1992). MSC: 76F20 28A80 PDF BibTeX XML Cite \textit{M. Avellaneda} and \textit{A. Majda}, Commun. Math. Phys. 146, No. 1, 139--204 (1992; Zbl 0754.76046) Full Text: DOI OpenURL
Boivin, Daniel; Derriennic, Yves The ergodic theorem for additive cocycles of \({\mathbb{Z}}^ d\) and \({\mathbb{R}}^ d\). (English) Zbl 0723.60008 Ergodic Theory Dyn. Syst. 11, No. 1, 19-39 (1991). MSC: 60B15 PDF BibTeX XML Cite \textit{D. Boivin} and \textit{Y. Derriennic}, Ergodic Theory Dyn. Syst. 11, No. 1, 19--39 (1991; Zbl 0723.60008) Full Text: DOI OpenURL
Dawson, Donald A.; Fleischmann, Klaus Critical branching in a highly fluctuating random medium. (English) Zbl 0735.60087 Probab. Theory Relat. Fields 90, No. 2, 241-274 (1991). Reviewer: D.A.Dawson MSC: 60J80 PDF BibTeX XML Cite \textit{D. A. Dawson} and \textit{K. Fleischmann}, Probab. Theory Relat. Fields 90, No. 2, 241--274 (1991; Zbl 0735.60087) Full Text: DOI OpenURL