Liptser, R. Examples of FCLT in random environment. (English) Zbl 1195.60131 Delbaen, Freddy (ed.) et al., Optimality and risk – modern trends in mathematical finance. The Kabanov Festschrift. Berlin: Springer (ISBN 978-3-642-02607-2/hbk). 183-195 (2009). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K37 PDFBibTeX XMLCite \textit{R. Liptser}, in: Optimality and risk -- modern trends in mathematical finance. The Kabanov Festschrift. Berlin: Springer. 183--195 (2009; Zbl 1195.60131)
Carmona, Philippe; Hu, Yueyun On the partition function of a directed polymer in a Gaussian random environment. (English) Zbl 1015.60100 Probab. Theory Relat. Fields 124, No. 3, 431-457 (2002). Reviewer: A.v.Enter MSC: 60K37 PDFBibTeX XMLCite \textit{P. Carmona} and \textit{Y. Hu}, Probab. Theory Relat. Fields 124, No. 3, 431--457 (2002; Zbl 1015.60100) Full Text: DOI
Kawazu, K.; Tamura, Y.; Tanaka, H. One-dimensional diffusions and random walks in random environments. (English) Zbl 0637.60091 Probability theory and mathematical statistics, Proc. 5th Jap.-USSR Symp., Kyoto/Jap. 1986, lect. Notes Math. 1299, 170-184 (1988). Reviewer: K.Kawazu MSC: 60J60 60G50 PDFBibTeX XML
Sznitman, Alain-Sol Topics in random walks in random environment. (English) Zbl 1060.60102 Lawler, G. F. (ed.), School and conference on probability theory, Trieste, Italy, May 13–17, 2002. Trieste: ICTP - The Abdus Salam International Centre for Theoretical Physics (ISBN 92-95003-25-X/pbk). ICTP Lecture Notes 17, 203-266 (2004). Reviewer: Utkir Rozikov (Tashkent) MSC: 60K37 60G50 PDFBibTeX XMLCite \textit{A.-S. Sznitman}, in: School and conference on probability theory, Trieste, Italy, May 13--17, 2002. Trieste: ICTP - The Abdus Salam International Centre for Theoretical Physics. 203--266 (2004; Zbl 1060.60102)
Zeitouni, Ofer Random walks in random environments in the perturbative regime. (English) Zbl 1176.82014 Sidoravičius, Vladas (ed.), New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5–11, 2006. Dordrecht: Springer (ISBN 978-90-481-2809-9/hbk; 978-90-481-2810-5/ebook). 823-826 (2009). MSC: 82B41 PDFBibTeX XMLCite \textit{O. Zeitouni}, in: New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5--11, 2006. Dordrecht: Springer. 823--826 (2009; Zbl 1176.82014) Full Text: DOI
Grübel, Rudolf; Rösler, Uwe Asymptotic distribution theory for Hoare’s selection algorithm. (English) Zbl 0853.60033 Adv. Appl. Probab. 28, No. 1, 252-269 (1996). Reviewer: H.Hering (Göttingen) MSC: 60F17 60K99 68P10 PDFBibTeX XMLCite \textit{R. Grübel} and \textit{U. Rösler}, Adv. Appl. Probab. 28, No. 1, 252--269 (1996; Zbl 0853.60033) Full Text: DOI
Bramson, Maury; Durrett, Richard Random walk in random environment: A counterexample? (English) Zbl 0661.60084 Commun. Math. Phys. 119, No. 2, 199-211 (1988). Reviewer: H.Hering MSC: 60G50 PDFBibTeX XMLCite \textit{M. Bramson} and \textit{R. Durrett}, Commun. Math. Phys. 119, No. 2, 199--211 (1988; Zbl 0661.60084) Full Text: DOI
Mejane, Olivier Upper bound of a volume exponent for directed polymers in a random environment. (English) Zbl 1041.60079 Ann. Inst. Henri Poincaré, Probab. Stat. 40, No. 3, 299-308 (2004). MSC: 60K37 60G42 82D30 PDFBibTeX XMLCite \textit{O. Mejane}, Ann. Inst. Henri Poincaré, Probab. Stat. 40, No. 3, 299--308 (2004; Zbl 1041.60079) Full Text: DOI arXiv Numdam EuDML
Kesten, Harry; Sidoravicius, Vladas; Vares, Maria Eulália Oriented percolation in a random environment. (English) Zbl 1507.60134 Electron. J. Probab. 27, Paper No. 82, 49 p. (2022). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{H. Kesten} et al., Electron. J. Probab. 27, Paper No. 82, 49 p. (2022; Zbl 1507.60134) Full Text: DOI arXiv Link
Peterson, Jonathon; Zeitouni, Ofer On the annealed large deviation rate function for a multi-dimensional random walk in random environment. (English) Zbl 1276.60127 ALEA, Lat. Am. J. Probab. Math. Stat. 6, 349-368 (2009). MSC: 60K37 60F10 PDFBibTeX XMLCite \textit{J. Peterson} and \textit{O. Zeitouni}, ALEA, Lat. Am. J. Probab. Math. Stat. 6, 349--368 (2009; Zbl 1276.60127) Full Text: arXiv Link
Kocherlakota, Narayana R.; Wallace, Neil Incomplete record-keeping and optimal payment arrangements. (English) Zbl 0910.90043 J. Econ. Theory 81, No. 2, 272-289 (1998). MSC: 91B62 PDFBibTeX XMLCite \textit{N. R. Kocherlakota} and \textit{N. Wallace}, J. Econ. Theory 81, No. 2, 272--289 (1998; Zbl 0910.90043) Full Text: DOI
Bramson, Maury; Durrett, Rick; Schonmann, Roberto H. The contact process in a random environment. (English) Zbl 0741.60097 Ann. Probab. 19, No. 3, 960-983 (1991). Reviewer: Chen Mu-fa (Beijing) MSC: 60K35 PDFBibTeX XMLCite \textit{M. Bramson} et al., Ann. Probab. 19, No. 3, 960--983 (1991; Zbl 0741.60097) Full Text: DOI
Zeitouni, Ofer Random walks in random environments. (English) Zbl 1007.60102 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press. 117-127 (2002). Reviewer: Nina Gantert (Karlsruhe) MSC: 60K37 82C44 PDFBibTeX XMLCite \textit{O. Zeitouni}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 117--127 (2002; Zbl 1007.60102)
Lawler, Gregory F. A discrete stochastic integral inequality and balanced random walk in a random environment. (English) Zbl 0569.60071 Duke Math. J. 50, 1261-1274 (1983). MSC: 60G50 60E15 PDFBibTeX XMLCite \textit{G. F. Lawler}, Duke Math. J. 50, 1261--1274 (1983; Zbl 0569.60071) Full Text: DOI
Gantert, Nina; Zeitouni, Ofer Large deviations for one-dimensional random walk in a random environment – a survey. (English) Zbl 0953.60009 Révész, Pál (ed.) et al., Random walks. International workshop, Budapest, Hungary, July 13-24, 1998. Budapest: János Bolyai Mathematical Society. Bolyai Soc. Math. Stud. 9, 127-165 (1999). MSC: 60F10 60G50 PDFBibTeX XMLCite \textit{N. Gantert} and \textit{O. Zeitouni}, Bolyai Soc. Math. Stud. 9, 127--165 (1999; Zbl 0953.60009)
den Hollander, Frank; Kesten, Harry; Sidoravicius, Vladas Random walk in a high density dynamic random environment. (English) Zbl 1294.60122 Indag. Math., New Ser. 25, No. 4, 785-799 (2014). MSC: 60K37 60G50 PDFBibTeX XMLCite \textit{F. den Hollander} et al., Indag. Math., New Ser. 25, No. 4, 785--799 (2014; Zbl 1294.60122) Full Text: DOI arXiv
Durrett, Richard Multidimensional random walks in random environments with subclassical limiting behavior. (English) Zbl 0595.60072 Commun. Math. Phys. 104, 87-102 (1986). Reviewer: J.L.Teugels MSC: 60G50 60K35 PDFBibTeX XMLCite \textit{R. Durrett}, Commun. Math. Phys. 104, 87--102 (1986; Zbl 0595.60072) Full Text: DOI
Wehr, Jan; Aizenman, Michael Fluctuations of extensive functions of quenched random couplings. (English) Zbl 0718.60129 J. Stat. Phys. 60, No. 3-4, 287-306 (1990). MSC: 60K40 82D60 PDFBibTeX XMLCite \textit{J. Wehr} and \textit{M. Aizenman}, J. Stat. Phys. 60, No. 3--4, 287--306 (1990; Zbl 0718.60129) Full Text: DOI
Dolgopyat, D.; Goldsheid, I. Quenched limit theorems for nearest neighbour random walks in 1D random environment. (English) Zbl 1260.60187 Commun. Math. Phys. 315, No. 1, 241-277 (2012). Reviewer: Utkir Rozikov (Tashkent) MSC: 60K37 60B20 PDFBibTeX XMLCite \textit{D. Dolgopyat} and \textit{I. Goldsheid}, Commun. Math. Phys. 315, No. 1, 241--277 (2012; Zbl 1260.60187) Full Text: DOI arXiv
Lawler, Gregory F. Low-density expansion for a two-state random walk in a random environment. (English) Zbl 0661.60085 J. Math. Phys. 30, No. 1, 145-157 (1989). MSC: 60G50 60K35 PDFBibTeX XMLCite \textit{G. F. Lawler}, J. Math. Phys. 30, No. 1, 145--157 (1989; Zbl 0661.60085) Full Text: DOI
Kuennemann, Rolf The diffusion limit for reversible jump processes on \(Z^ m\) with ergodic random bond conductivities. (English) Zbl 0523.60097 Commun. Math. Phys. 90, 27-68 (1983). MSC: 60K35 60J65 PDFBibTeX XMLCite \textit{R. Kuennemann}, Commun. Math. Phys. 90, 27--68 (1983; Zbl 0523.60097) Full Text: DOI
Gantert, Nina; Shi, Zhan Many visits to a single site by a transient random walk in random environment. (English) Zbl 1059.60100 Stochastic Processes Appl. 99, No. 2, 159-176 (2002). Reviewer: Ivan Křivý (Ostrava) MSC: 60K37 60G50 60J55 60J80 PDFBibTeX XMLCite \textit{N. Gantert} and \textit{Z. Shi}, Stochastic Processes Appl. 99, No. 2, 159--176 (2002; Zbl 1059.60100) Full Text: DOI
Khanin, K. M.; Mazel, A. E.; Shlosman, S. B.; Sinai, Ya. G. Loop condensation effects in the behaviour of random walks. (English) Zbl 0814.60063 Freidlin, Mark I. (ed.), The Dynkin Festschrift. Markov processes and their applications. In celebration of Eugene B. Dynkin’s 70th birthday. Boston, MA: Birkhäuser. Prog. Probab. 34, 167-184 (1994). Reviewer: Ph.Biane (Paris) MSC: 60G50 82D60 PDFBibTeX XMLCite \textit{K. M. Khanin} et al., Prog. Probab. 34, 167--184 (1994; Zbl 0814.60063)
Révész, Pal In random environment the local time can be very big. (English) Zbl 0716.60087 Les processus stochastiques, Coll. Paul Lévy, Palaiseau/Fr. 1987, Astérisque 157-158, 321-339 (1988). MSC: 60J55 60G50 PDFBibTeX XML
Derriennic, Yves Random walks with jumps in random environments (examples of cycle and weight representations). (English) Zbl 0994.60055 Grigelionis, B. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 7th international Vilnius conference, Vilnius, Lithuania, August, 12-18, 1998. Vilnius: TEV. 199-212 (1999). Reviewer: Wolfgang König (Berlin) MSC: 60G50 60K37 PDFBibTeX XMLCite \textit{Y. Derriennic}, in: Probability theory and mathematical statistics. Proceedings of the 7th international Vilnius conference, Vilnius, Lithuania, August, 12--18, 1998. Vilnius: TEV; Utrecht: VSP. 199--212 (1999; Zbl 0994.60055)
Kawazu, Kiyoshi; Tamura, Yozo; Tanaka, Hiroshi Limit theorems for one-dimensional diffusions and random walks in random environments. (English) Zbl 0638.60042 Probab. Theory Relat. Fields 80, No. 4, 501-541 (1989). MSC: 60F15 60G50 60K35 60J60 PDFBibTeX XMLCite \textit{K. Kawazu} et al., Probab. Theory Relat. Fields 80, No. 4, 501--541 (1989; Zbl 0638.60042) Full Text: DOI
Liggett, Thomas M. Spatially inhomogeneous contact processes. (English) Zbl 0747.60096 Spatial stochastic processes, Festschr. in Honor of Ted Harris 70th Birthday, Prog. Probab. 19, 105-140 (1991). Reviewer: G.Grimmett (Bristol) MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Prog. Probab. None, 105--140 (1991; Zbl 0747.60096)
Bollobás, Béla; Riordan, Oliver The critical probability for random Voronoi percolation in the plane is 1/2. (English) Zbl 1100.60054 Probab. Theory Relat. Fields 136, No. 3, 417-468 (2006). MSC: 60K35 60K37 52C99 60C05 82B43 PDFBibTeX XMLCite \textit{B. Bollobás} and \textit{O. Riordan}, Probab. Theory Relat. Fields 136, No. 3, 417--468 (2006; Zbl 1100.60054) Full Text: DOI arXiv
Kesten, Harry The limit distribution of Sinai’s random walk in random environment. (English) Zbl 0666.60065 Physica A 138, 299-309 (1986). MSC: 60G50 60K35 60F05 PDFBibTeX XMLCite \textit{H. Kesten}, Physica A 138, 299--309 (1986; Zbl 0666.60065) Full Text: DOI
Shiga, Tokuzo Exponential decay rate of survival probability in a disastrous random environment. (English) Zbl 0884.60093 Probab. Theory Relat. Fields 108, No. 3, 417-439 (1997). MSC: 60K35 PDFBibTeX XMLCite \textit{T. Shiga}, Probab. Theory Relat. Fields 108, No. 3, 417--439 (1997; Zbl 0884.60093) Full Text: DOI
Révész, Pal The local time of a random walk in a random environment. (English) Zbl 0623.60092 New perspectives in theoretical and applied statistics, Sel. Pap. 3rd Int. Meet. Stat., Bilbao/Spain 1986, 503-518 (1987). Reviewer: M.Dozzi MSC: 60G50 60J55 PDFBibTeX XML
Afanasyev, V. I. On the time of reaching a high level by a transient random walk in a random environment. (English. Russian original) Zbl 1378.60070 Theory Probab. Appl. 61, No. 2, 178-207 (2017); translation from Teor. Veroyatn. Primen. 61, No. 2, 234-267 (2016). MSC: 60G50 60K37 60F17 PDFBibTeX XMLCite \textit{V. I. Afanasyev}, Theory Probab. Appl. 61, No. 2, 178--207 (2017; Zbl 1378.60070); translation from Teor. Veroyatn. Primen. 61, No. 2, 234--267 (2016) Full Text: DOI
Lawler, Gregory F. Weak convergence of a random walk in a random environment. (English) Zbl 0502.60056 Commun. Math. Phys. 87, 81-87 (1982). MSC: 60G50 82D30 PDFBibTeX XMLCite \textit{G. F. Lawler}, Commun. Math. Phys. 87, 81--87 (1982; Zbl 0502.60056) Full Text: DOI
Greven, Andreas; den Hollander, Frank Large deviations for a random walk in random environment. (English) Zbl 0820.60054 Ann. Probab. 22, No. 3, 1381-1428 (1994). Reviewer: M.Quine (Sydney) MSC: 60G50 60F10 82C44 PDFBibTeX XMLCite \textit{A. Greven} and \textit{F. den Hollander}, Ann. Probab. 22, No. 3, 1381--1428 (1994; Zbl 0820.60054) Full Text: DOI
Huang, Xiangying; Durrett, Rick A stochastic spatial model for the sterile insect control strategy. (English) Zbl 1509.60175 Stochastic Processes Appl. 157, 249-278 (2023). MSC: 60K35 82B43 92D45 PDFBibTeX XMLCite \textit{X. Huang} and \textit{R. Durrett}, Stochastic Processes Appl. 157, 249--278 (2023; Zbl 1509.60175) Full Text: DOI arXiv
Comets, Francis; Vargas, Vincent Majorizing multiplicative cascades for directed polymers in random media. (English) Zbl 1105.60074 ALEA, Lat. Am. J. Probab. Math. Stat. 2, 267-277 (2006). MSC: 60K35 PDFBibTeX XMLCite \textit{F. Comets} and \textit{V. Vargas}, ALEA, Lat. Am. J. Probab. Math. Stat. 2, 267--277 (2006; Zbl 1105.60074) Full Text: arXiv
Dembo, Amir; Peres, Yuval; Zeitouni, Ofer Tail estimates for one-dimensional random walk in random environment. (English) Zbl 0868.60058 Commun. Math. Phys. 181, No. 3, 667-683 (1996). MSC: 60G50 60F10 PDFBibTeX XMLCite \textit{A. Dembo} et al., Commun. Math. Phys. 181, No. 3, 667--683 (1996; Zbl 0868.60058) Full Text: DOI
Proschan, Frank; Shaked, Moshe Random averaging of vector elements. (English) Zbl 0541.60025 SIAM J. Appl. Math. 44, 587-590 (1984). Reviewer: M.Qian MSC: 60F15 60J10 PDFBibTeX XMLCite \textit{F. Proschan} and \textit{M. Shaked}, SIAM J. Appl. Math. 44, 587--590 (1984; Zbl 0541.60025) Full Text: DOI
Golosov, A. O. Localization of random walks in one-dimensional random environments. (English) Zbl 0534.60065 Commun. Math. Phys. 92, 491-506 (1984). Reviewer: E.Henze MSC: 60G50 60K35 PDFBibTeX XMLCite \textit{A. O. Golosov}, Commun. Math. Phys. 92, 491--506 (1984; Zbl 0534.60065) Full Text: DOI
Zhang, Hongtao; Graves, Stephen C. Cyclic scheduling in a stochastic environment. (English) Zbl 0895.90124 Oper. Res. 45, No. 6, 894-903 (1997). MSC: 90B35 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{S. C. Graves}, Oper. Res. 45, No. 6, 894--903 (1997; Zbl 0895.90124) Full Text: DOI
Kawazu, Kiyoshi; Tamura, Yozo; Tanaka, Hiroshi Localization of diffusion processes in one-dimensional random environment. (English) Zbl 0761.60072 J. Math. Soc. Japan 44, No. 3, 515-550 (1992). Reviewer: K.Kawazu MSC: 60J70 PDFBibTeX XMLCite \textit{K. Kawazu} et al., J. Math. Soc. Japan 44, No. 3, 515--550 (1992; Zbl 0761.60072) Full Text: DOI
Stenflo, Örjan Markov chains in random environments and random iterated function systems. (English) Zbl 0976.60095 Trans. Am. Math. Soc. 353, No. 9, 3547-3562 (2001). Reviewer: Yuri Kifer (Jerusalem) MSC: 60K37 37H99 28A80 PDFBibTeX XMLCite \textit{Ö. Stenflo}, Trans. Am. Math. Soc. 353, No. 9, 3547--3562 (2001; Zbl 0976.60095) Full Text: DOI
Pemantle, Robin Critical random walk in random environment on trees of exponential growth. (English) Zbl 0786.60118 Cinlar, E. (ed.) et al., Seminar on stochastic processes, 1992. Held at the Univ. of Washington, DC, USA, March 26-28, 1992. Basel: Birkhäuser. Prog. Probab. 33, 221-239 (1992). MSC: 60K35 60G50 PDFBibTeX XMLCite \textit{R. Pemantle}, Prog. Probab. 33, 221--239 (1992; Zbl 0786.60118) Full Text: arXiv
Hong, Hang The irreducibility of Markov chains in random environments. (Chinese. English summary) Zbl 1150.60439 J. Math. Study 40, No. 4, 406-411 (2007). MSC: 60K37 PDFBibTeX XMLCite \textit{H. Hong}, J. Math. Study 40, No. 4, 406--411 (2007; Zbl 1150.60439)
Thathachar, M. A. L.; Ramakrishnan, K. R. A hierarchical system of learning automata. (English) Zbl 0457.68047 IEEE Trans. Syst. Man Cybern. 11, 236-241 (1981). MSC: 68T05 PDFBibTeX XMLCite \textit{M. A. L. Thathachar} and \textit{K. R. Ramakrishnan}, IEEE Trans. Syst. Man Cybern. 11, 236--241 (1981; Zbl 0457.68047) Full Text: DOI
Jia, Shumei The contact process on trees in random environments. (English) Zbl 1040.60086 Acta Sci. Nat. Univ. Pekin. 38, No. 5, 605-610 (2002). MSC: 60K37 60K35 PDFBibTeX XMLCite \textit{S. Jia}, Acta Sci. Nat. Univ. Pekin. 38, No. 5, 605--610 (2002; Zbl 1040.60086)
Cogburn, Robert Recurrence vs. transience for spatially inhomogeneous birth and death in a random environment. (English) Zbl 0476.60081 Z. Wahrscheinlichkeitstheor. Verw. Geb. 61, 153-160 (1982). MSC: 60J80 PDFBibTeX XMLCite \textit{R. Cogburn}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 61, 153--160 (1982; Zbl 0476.60081) Full Text: DOI
Albeverio, Sergio; Zhou, Xianyin A martingale approach to directed polymers in a random environment. (English) Zbl 0837.60069 J. Theor. Probab. 9, No. 1, 171-189 (1996). MSC: 60G50 82D60 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{X. Zhou}, J. Theor. Probab. 9, No. 1, 171--189 (1996; Zbl 0837.60069) Full Text: DOI
Comets, Francis; Shiga, Tokuzo; Yoshida, Nobuo Directed polymers in a random environment: Path localization and strong disorder. (English) Zbl 1042.60069 Bernoulli 9, No. 4, 705-723 (2003). Reviewer: Utkir Rozikov (Tashkent) MSC: 60K37 82B41 82B44 PDFBibTeX XMLCite \textit{F. Comets} et al., Bernoulli 9, No. 4, 705--723 (2003; Zbl 1042.60069) Full Text: DOI Euclid
Hu, Yueyun; Shi, Zhan The limits of Sinai’s simple random walk in random environment. (English) Zbl 0936.60088 Ann. Probab. 26, No. 4, 1477-1521 (1998). MSC: 60K37 60J60 60F15 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{Z. Shi}, Ann. Probab. 26, No. 4, 1477--1521 (1998; Zbl 0936.60088) Full Text: DOI
Falin, G. The \(M/M/\infty\) queue in a random environment. (English) Zbl 1138.60059 Queueing Syst. 58, No. 1, 65-76 (2008). Reviewer: Marina Gorunescu (Craiova) MSC: 60K25 60K37 90B22 PDFBibTeX XMLCite \textit{G. Falin}, Queueing Syst. 58, No. 1, 65--76 (2008; Zbl 1138.60059) Full Text: DOI
Kozlov, S. M. Averaging method and random walks in inhomogeneous environment. (Russian) Zbl 0592.60054 Usp. Mat. Nauk 40, No. 2(242), 61-120 (1985). Reviewer: L.Kalyakin MSC: 60G50 60F05 PDFBibTeX XMLCite \textit{S. M. Kozlov}, Usp. Mat. Nauk 40, No. 2(242), 61--120 (1985; Zbl 0592.60054)
Jagers, Peter; Klebaner, Fima Branching processes in near-critical random environments. (English) Zbl 1052.60069 J. Appl. Probab. 41A, Spec. Iss., 17-23 (2004). Reviewer: Valentin Topchii (Omsk) MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{P. Jagers} and \textit{F. Klebaner}, J. Appl. Probab. 41A, 17--23 (2004; Zbl 1052.60069) Full Text: DOI
Odlyzko, A. M. Search for the maximum of a random walk. (English) Zbl 0818.60065 Random Struct. Algorithms 6, No. 2-3, 275-295 (1995). MSC: 60G50 60C05 60G70 PDFBibTeX XMLCite \textit{A. M. Odlyzko}, Random Struct. Algorithms 6, No. 2--3, 275--295 (1995; Zbl 0818.60065) Full Text: DOI
Mourrat, Jean-Christophe Variance decay for functionals of the environment viewed by the particle. (English. French summary) Zbl 1213.60163 Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 1, 294-327 (2011). Reviewer: Guy Jumarie (Montréal) MSC: 60K37 82C41 35B27 PDFBibTeX XMLCite \textit{J.-C. Mourrat}, Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 1, 294--327 (2011; Zbl 1213.60163) Full Text: DOI arXiv EuDML
Afanasyev, V. I. Two-boundary problem for a random walk in a random environment. (English. Russian original) Zbl 1442.60107 Theory Probab. Appl. 63, No. 3, 339-350 (2019); translation from Teor. Veroyatn. Primen. 63, No. 3, 417-430 (2018). MSC: 60K37 60J80 PDFBibTeX XMLCite \textit{V. I. Afanasyev}, Theory Probab. Appl. 63, No. 3, 339--350 (2019; Zbl 1442.60107); translation from Teor. Veroyatn. Primen. 63, No. 3, 417--430 (2018) Full Text: DOI
Dembo, Amir; Fukushima, Ryoki; Kubota, Naoki Slowdown estimates for one-dimensional random walks in random environment with holding times. (English) Zbl 1406.60136 Electron. Commun. Probab. 23, Paper No. 89, 12 p. (2018). MSC: 60K37 60F10 60G50 PDFBibTeX XMLCite \textit{A. Dembo} et al., Electron. Commun. Probab. 23, Paper No. 89, 12 p. (2018; Zbl 1406.60136) Full Text: DOI arXiv Euclid
Imbrie, J. Z.; Spencer, T. Diffusion of directed polymers in a random environment. (English) Zbl 1084.82595 J. Stat. Phys. 52, No. 3-4, 609-626 (1988). MSC: 82D60 82B31 60K35 PDFBibTeX XMLCite \textit{J. Z. Imbrie} and \textit{T. Spencer}, J. Stat. Phys. 52, No. 3--4, 609--626 (1988; Zbl 1084.82595) Full Text: DOI
Sznitman, Alain-Sol Slowdown estimates and central limit theorem for random walks in random environment. (English) Zbl 0976.60097 J. Eur. Math. Soc. (JEMS) 2, No. 2, 93-143 (2000). Reviewer: Nina Gantert (Berlin) MSC: 60K40 82D30 82B43 PDFBibTeX XMLCite \textit{A.-S. Sznitman}, J. Eur. Math. Soc. (JEMS) 2, No. 2, 93--143 (2000; Zbl 0976.60097) Full Text: DOI
Szász, D.; Tóth, B. Persistent random walks in a one-dimensional random environment. (English) Zbl 0587.60064 J. Stat. Phys. 37, 27-38 (1984). MSC: 60G50 60F05 PDFBibTeX XMLCite \textit{D. Szász} and \textit{B. Tóth}, J. Stat. Phys. 37, 27--38 (1984; Zbl 0587.60064) Full Text: DOI
Kesten, Harry Random processes in random environments. (English) Zbl 0457.60081 Biological growth and spread, mathematical theories and applications, Proc. Conf., Heidelberg 1979, Lect. Notes Biomath. 38, 82-92 (1980). MSC: 60K35 92D10 PDFBibTeX XML
Klein, Abel Extinction of contact and percolation processes in a random environment. (English) Zbl 0814.60098 Ann. Probab. 22, No. 3, 1227-1251 (1994). MSC: 60K35 PDFBibTeX XMLCite \textit{A. Klein}, Ann. Probab. 22, No. 3, 1227--1251 (1994; Zbl 0814.60098) Full Text: DOI
Sidoravicius, Vladas; Sznitman, Alain-Sol Quenched invariance principles for walks on clusters of percolation or among random conductances. (English) Zbl 1070.60090 Probab. Theory Relat. Fields 129, No. 2, 219-244 (2004). Reviewer: Nina Gantert (Münster) MSC: 60K35 60F05 60F17 60G50 82B43 PDFBibTeX XMLCite \textit{V. Sidoravicius} and \textit{A.-S. Sznitman}, Probab. Theory Relat. Fields 129, No. 2, 219--244 (2004; Zbl 1070.60090) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A.-S. Sznitman} and \textit{M. Zerner}, Ann. Probab. 27, No. 4, 1851--1869 (1999; Zbl 0965.60100) Full Text: DOI
Foss, Sergey; Korshunov, Dmitry; Palmowski, Zbigniew Branching processes with immigration in atypical random environment. (English) Zbl 1486.60109 Extremes 25, No. 1, 55-77 (2022). MSC: 60J80 60G50 PDFBibTeX XMLCite \textit{S. Foss} et al., Extremes 25, No. 1, 55--77 (2022; Zbl 1486.60109) Full Text: DOI arXiv
Sinaj, Ya. G. Random walks and some problems concerning Lorentz gas. (English) Zbl 0504.60074 Random systems and dynamical systems, Proc. Symp., Kyoto 1981, RIMS Kokyuroku 439, 6-17 (1981). MSC: 60G50 82B05 60K35 PDFBibTeX XML
Hoppensteadt, F.; Salehi, H.; Skorokhod, A. Markov chain with small random perturbations with applications to bacterial genetics. (English) Zbl 0869.60062 Random Oper. Stoch. Equ. 4, No. 3, 205-227 (1996). Reviewer: J.M.Gani (Canberra) MSC: 60J10 92D10 PDFBibTeX XMLCite \textit{F. Hoppensteadt} et al., Random Oper. Stoch. Equ. 4, No. 3, 205--227 (1996; Zbl 0869.60062) Full Text: DOI
Golosov, A. O. On limiting distributions for a random walk in a critical one-dimensional random environment. (English. Russian original) Zbl 0609.60080 Russ. Math. Surv. 41, No. 2, 199-200 (1986); translation from Usp. Mat. Nauk 41, No. 2(248), 189-190 (1986). Reviewer: O.K.Zakusilo MSC: 60G50 60F05 60J60 PDFBibTeX XMLCite \textit{A. O. Golosov}, Russ. Math. Surv. 41, No. 2, 199--200 (1986; Zbl 0609.60080); translation from Usp. Mat. Nauk 41, No. 2(248), 189--190 (1986) Full Text: DOI
Thathachar, M. A. L.; Sastry, P. S. A new approach to the design of reinforcement schemes for learning automata. (English) Zbl 0572.68046 IEEE Trans. Syst. Man Cybern. 15, 168-175 (1985). MSC: 68T05 68Q45 PDFBibTeX XMLCite \textit{M. A. L. Thathachar} and \textit{P. S. Sastry}, IEEE Trans. Syst. Man Cybern. 15, 168--175 (1985; Zbl 0572.68046) Full Text: DOI
Berger, Noam; Zeitouni, Ofer A quenched invariance principle for certain ballistic random walks in i.i.d. environments. (English) Zbl 1173.82324 Sidoravicius, Vladas (ed.) et al., In and out of equilibrium 2. Papers celebrating the 10th edition of the Brazilian school of probability (EBP), Rio de Janiero, Brazil, July 30 to August 4, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8785-3/hbk). Progress in Probability 60, 137-160 (2008). MSC: 82B41 60K37 60F05 PDFBibTeX XMLCite \textit{N. Berger} and \textit{O. Zeitouni}, Prog. Probab. 60, 137--160 (2008; Zbl 1173.82324) Full Text: arXiv
Afanasyev, V. I. [Vatutin, V. I.] About time of reaching a high level by a random walk in a random environment. (English. Russian original) Zbl 1284.60087 Theory Probab. Appl. 57, No. 4, 547-567 (2013); translation from Teor. Veroyatn. Primen. 57, No. 4, 625-648 (2012). MSC: 60G50 60K37 60F17 60J80 PDFBibTeX XMLCite \textit{V. I. Afanasyev}, Theory Probab. Appl. 57, No. 4, 547--567 (2013; Zbl 1284.60087); translation from Teor. Veroyatn. Primen. 57, No. 4, 625--648 (2012) Full Text: DOI
Tanaka, Hiroshi Environment-wise central limit theorem for a diffusion in a Brownian environment with large drift. (English) Zbl 0866.60025 Ikeda, N. (ed.) et al., Itô’s stochastic calculus and probability theory. Tribute dedicated to Kiyosi Itô on the occasion of his 80th birthday. Tokyo: Springer. 373-384 (1996). Reviewer: H.Tanaka (Yokohama) MSC: 60F05 60J60 PDFBibTeX XMLCite \textit{H. Tanaka}, in: Itô's stochastic calculus and probability theory. Tribute dedicated to Kiyosi Itô on the occasion of his 80th birthday. Tokyo: Springer. 373--384 (1996; Zbl 0866.60025)
Anshelevich, V. V.; Khanin, K. M.; Sinai, Ya. G. Symmetric random walks in random environments. (English) Zbl 0512.60058 Commun. Math. Phys. 85, 449-470 (1982). MSC: 60G50 82D30 60J65 60K35 PDFBibTeX XMLCite \textit{V. V. Anshelevich} et al., Commun. Math. Phys. 85, 449--470 (1982; Zbl 0512.60058) Full Text: DOI
Hu, Yueyun; Shao, Qi-Man A note on directed polymers in Gaussian environments. (English) Zbl 1191.60123 Electron. Commun. Probab. 14, 518-528 (2009). MSC: 60K37 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{Q.-M. Shao}, Electron. Commun. Probab. 14, 518--528 (2009; Zbl 1191.60123) Full Text: DOI EuDML EMIS
Yurinskij, V. V. On the homogenization error for a zero drift diffusion in a random medium. (English. Russian original) Zbl 0848.60074 Sib. Adv. Math. 1, No. 4, 186-197 (1991); translation from Tr. Inst. Mat. SO RAN 20, 289-300 (1993). MSC: 60J60 PDFBibTeX XMLCite \textit{V. V. Yurinskij}, Sib. Adv. Math. 1, No. 4, 1 (1993; Zbl 0848.60074); translation from Tr. Inst. Mat. SO RAN 20, 289--300 (1993)
Jacobsen, Jon; Jin, Yu; Lewis, Mark A. Integrodifference models for persistence in temporally varying river environments. (English) Zbl 1308.45001 J. Math. Biol. 70, No. 3, 549-590 (2015). MSC: 45C05 45R05 92B05 PDFBibTeX XMLCite \textit{J. Jacobsen} et al., J. Math. Biol. 70, No. 3, 549--590 (2015; Zbl 1308.45001) Full Text: DOI
Keane, M. S.; Rolles, S. W. W. Tubular recurrence. (English) Zbl 1026.60089 Acta Math. Hung. 97, No. 3, 207-221 (2002). Reviewer: S.K.Srinivasan (Chennai) MSC: 60J10 05C99 60K37 PDFBibTeX XMLCite \textit{M. S. Keane} and \textit{S. W. W. Rolles}, Acta Math. Hung. 97, No. 3, 207--221 (2002; Zbl 1026.60089) Full Text: DOI
Zerner, Martin P. W. Lyapounov exponents and quenched large diviations for multidimensional random walk in random environment. (English) Zbl 0937.60095 Ann. Probab. 26, No. 4, 1446-1476 (1998). MSC: 60K37 60F10 82C41 60G50 PDFBibTeX XMLCite \textit{M. P. W. Zerner}, Ann. Probab. 26, No. 4, 1446--1476 (1998; Zbl 0937.60095) Full Text: DOI
Afanasyev, Valeriy I. On the non-recurrent random walk in a random environment. (English. Russian original) Zbl 1395.60117 Discrete Math. Appl. 28, No. 3, 139-156 (2018); translation from Diskretn. Mat. 28, No. 4, 6-28 (2016). MSC: 60K37 82C41 PDFBibTeX XMLCite \textit{V. I. Afanasyev}, Discrete Math. Appl. 28, No. 3, 139--156 (2018; Zbl 1395.60117); translation from Diskretn. Mat. 28, No. 4, 6--28 (2016) Full Text: DOI
Boldrighini, Carlo; Minlos, Robert A.; Pellegrinotti, Alessandro Interacting random walk in a dynamical random environment. II: Environment from the point of view of the particle. (English) Zbl 0818.60064 Ann. Inst. Henri Poincaré, Probab. Stat. 30, No. 4, 559-605 (1994). MSC: 60G50 60J10 PDFBibTeX XMLCite \textit{C. Boldrighini} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 30, No. 4, 559--605 (1994; Zbl 0818.60064) Full Text: Numdam EuDML
Lyons, Russell; Permantle, Robin; Peres, Yuval Random walks on the lamplighter group. (English) Zbl 0879.60004 Ann. Probab. 24, No. 4, 1993-2006 (1996). MSC: 60B15 60G50 PDFBibTeX XMLCite \textit{R. Lyons} et al., Ann. Probab. 24, No. 4, 1993--2006 (1996; Zbl 0879.60004) Full Text: DOI
Malyshev, V. A. Interacting strings of symbols. (English. Russian original) Zbl 0931.60032 Russ. Math. Surv. 52, No. 2, 299-326 (1997); translation from Usp. Mat. Nauk 52, No. 2, 59-86 (1997). Reviewer: A.Alabert (Bellaterra) MSC: 60G50 60J05 PDFBibTeX XMLCite \textit{V. A. Malyshev}, Russ. Math. Surv. 52, No. 2, 299--326 (1997; Zbl 0931.60032); translation from Usp. Mat. Nauk 52, No. 2, 59--86 (1997) Full Text: DOI
Zeitouni, Ofer Random walks in random environment. (English) Zbl 1060.60103 Picard, Jean (ed.), Lectures on probability theory and statistics. Ecole d’Eté de probabilités de Saint-Flour XXXI – 2001. Berlin: Springer (ISBN 3-540-20832-1/pbk). Lect. Notes Math. 1837, 191-312 (2004). Reviewer: Nina Gantert (Münster) MSC: 60K37 60F10 60G50 82B41 82B44 PDFBibTeX XMLCite \textit{O. Zeitouni}, Lect. Notes Math. 1837, 191--312 (2004; Zbl 1060.60103)
Geiger, Jochen; Kersting, Götz; Vatutin, Vladimir A. Limit theorems for subcritical branching processes in random environment. (English) Zbl 1038.60083 Ann. Inst. Henri Poincaré, Probab. Stat. 39, No. 4, 593-620 (2003). Reviewer: Klaus Fleischmann (Berlin) MSC: 60J80 60F05 PDFBibTeX XMLCite \textit{J. Geiger} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 39, No. 4, 593--620 (2003; Zbl 1038.60083) Full Text: DOI Numdam EuDML
Comets, Francis; Popov, Serguei; Vachkovskaia, Marina The number of open paths in an oriented \(\rho\)-percolation model. (English) Zbl 1144.82031 J. Stat. Phys. 131, No. 2, 357-379 (2008). MSC: 82B43 82D60 PDFBibTeX XMLCite \textit{F. Comets} et al., J. Stat. Phys. 131, No. 2, 357--379 (2008; Zbl 1144.82031) Full Text: DOI arXiv
Boldrighini, C.; Minlos, R. A.; Pellegrinotti, A. Asymptotic decay of correlations for a fluctuating environment in interaction with a two-particle random walk. (English) Zbl 0852.60087 Boll. Unione Mat. Ital., VII. Ser., B 10, No. 2, 277-302 (1996). MSC: 60G50 PDFBibTeX XMLCite \textit{C. Boldrighini} et al., Boll. Unione Mat. Ital., VII. Ser., B 10, No. 2, 277--302 (1996; Zbl 0852.60087)
Sinaĭ, Ya. G. Anomalous transport in quasi-periodic media. (English. Russian original) Zbl 0946.60092 Russ. Math. Surv. 54, No. 1, 181-208 (1999); translation from Usp. Mat. Nauk 54, No. 1, 181-208 (1999). Reviewer: Piotr Garbaczewski (Zielona Gora) MSC: 60K37 82C41 47B39 82D60 PDFBibTeX XMLCite \textit{Ya. G. Sinaĭ}, Russ. Math. Surv. 54, No. 1, 181--208 (1999; Zbl 0946.60092); translation from Usp. Mat. Nauk 54, No. 1, 181--208 (1999) Full Text: DOI
Amir, Gideon; Benjamini, Itai; Gurel-Gurevich, Ori; Kozma, Gady Random walk in changing environment. (English) Zbl 1454.60058 Stochastic Processes Appl. 130, No. 12, 7463-7482 (2020). MSC: 60G50 60K37 PDFBibTeX XMLCite \textit{G. Amir} et al., Stochastic Processes Appl. 130, No. 12, 7463--7482 (2020; Zbl 1454.60058) Full Text: DOI arXiv
Boldrighini, C.; Minlos, R. A.; Pellegrinotti, A. Almost-sure central limit theorem for a Markov model of random walk in dynamical random environment. (English) Zbl 0888.60061 Probab. Theory Relat. Fields 109, No. 2, 245-273 (1997). MSC: 60G50 60F05 82B41 60G60 PDFBibTeX XMLCite \textit{C. Boldrighini} et al., Probab. Theory Relat. Fields 109, No. 2, 245--273 (1997; Zbl 0888.60061) Full Text: DOI
Andronov, Alexander; Gertsbakh, I. B. Signatures in Markov-modulated processes. (English) Zbl 1296.60270 Stoch. Models 30, No. 1, 1-15 (2014). Reviewer: Kurt Marti (München) MSC: 60K99 PDFBibTeX XMLCite \textit{A. Andronov} and \textit{I. B. Gertsbakh}, Stoch. Models 30, No. 1, 1--15 (2014; Zbl 1296.60270) Full Text: DOI
Pemantle, Robin Phase transition in reinforced random walk and RWRE on trees. (English) Zbl 0648.60077 Ann. Probab. 16, No. 3, 1229-1241 (1988). Reviewer: J.L.Teugels MSC: 60G50 60J80 60F10 PDFBibTeX XMLCite \textit{R. Pemantle}, Ann. Probab. 16, No. 3, 1229--1241 (1988; Zbl 0648.60077) Full Text: DOI
Ritter, Grant A continuous-time analogue of random walk in a random environment. (English) Zbl 0437.60063 J. Appl. Probab. 17, 259-264 (1980). MSC: 60J80 60G50 PDFBibTeX XMLCite \textit{G. Ritter}, J. Appl. Probab. 17, 259--264 (1980; Zbl 0437.60063) Full Text: DOI
Chigansky, P.; Liptser, R. Moderate deviations for a diffusion-type process in a random environment. (English. Russian original) Zbl 1197.60094 Theory Probab. Appl. 54, No. 1, 29-50 (2009); translation from Teor. Veroyatn. Primen. 54, No. 1, 39-62 (2009). MSC: 60K37 60F10 60J60 PDFBibTeX XMLCite \textit{P. Chigansky} and \textit{R. Liptser}, Theory Probab. Appl. 54, No. 1, 29--50 (2009; Zbl 1197.60094); translation from Teor. Veroyatn. Primen. 54, No. 1, 39--62 (2009) Full Text: DOI arXiv
Mytnik, Leonid; Xiong, Jie; Zeitouni, Ofer Snake representation of a superprocess in random environment. (English) Zbl 1276.60126 ALEA, Lat. Am. J. Probab. Math. Stat. 8, 335-378 (2011). MSC: 60K37 60G60 60J80 PDFBibTeX XMLCite \textit{L. Mytnik} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 8, 335--378 (2011; Zbl 1276.60126) Full Text: arXiv Link
Comets, Francis; Zeitouni, Ofer Gaussian fluctuations for random walks in random mixing environments. (English) Zbl 1086.60065 Isr. J. Math. 148, 87-113 (2005). Reviewer: A. C. D. van Enter (Groningen) MSC: 60K37 82B41 82B44 60F05 82C41 82C44 PDFBibTeX XMLCite \textit{F. Comets} and \textit{O. Zeitouni}, Isr. J. Math. 148, 87--113 (2005; Zbl 1086.60065) Full Text: DOI
Kawazu, Kiyoshi; Suzuki, Yuki; Tanaka, Hiroshi A diffusion process with one-sided Brownian potential. (English) Zbl 1007.60081 Tokyo J. Math. 24, No. 1, 211-229 (2001). Reviewer: Shizan Fang (Dijon) MSC: 60J60 60G18 60G60 PDFBibTeX XMLCite \textit{K. Kawazu} et al., Tokyo J. Math. 24, No. 1, 211--229 (2001; Zbl 1007.60081) Full Text: DOI
Grey, D. R. Regular variation in the tail behaviour of solutions of random difference equations. (English) Zbl 0802.60057 Ann. Appl. Probab. 4, No. 1, 169-183 (1994). Reviewer: J.H.Kim (Pusan) MSC: 60H25 60J80 PDFBibTeX XMLCite \textit{D. R. Grey}, Ann. Appl. Probab. 4, No. 1, 169--183 (1994; Zbl 0802.60057) Full Text: DOI
Orey, Steven Markov chains with stochastically stationary transition probabilities. (English) Zbl 0735.60040 Ann. Probab. 19, No. 3, 907-928 (1991). Reviewer: U.Krengel (Göttingen) MSC: 60G10 60J10 PDFBibTeX XMLCite \textit{S. Orey}, Ann. Probab. 19, No. 3, 907--928 (1991; Zbl 0735.60040) Full Text: DOI
Vatutin, V. A.; Dyakonova, E. E. Branching processes in a random environment and bottlenecks in the evolution of populations. (English. Russian original) Zbl 1114.60085 Theory Probab. Appl. 51, No. 1, 189-210 (2007); translation from Teor. Veroyatn. Primen. 51, No. 1, 22-46 (2006). MSC: 60K37 60J80 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Theory Probab. Appl. 51, No. 1, 189--210 (2007; Zbl 1114.60085); translation from Teor. Veroyatn. Primen. 51, No. 1, 22--46 (2006) Full Text: DOI
Sineva, I. S. Limiting behavior of random walk in a one-dimensional random environment. (English. Russian original) Zbl 0558.60052 Mosc. Univ. Math. Bull. 39, No. 4, 5-14 (1984); translation from Vestn. Mosk. Univ., Ser. I 1984, No. 4, 5-12 (1984). Reviewer: S.Pogosian MSC: 60G50 60F05 PDFBibTeX XMLCite \textit{I. S. Sineva}, Mosc. Univ. Math. Bull. 39, No. 4, 5--14 (1984; Zbl 0558.60052); translation from Vestn. Mosk. Univ., Ser. I 1984, No. 4, 5--12 (1984)