Bakay, Gavriil A. On large deviations of the moment of attaining far level by the random walk in a random environment. (English. Russian original) Zbl 1545.60047 Discrete Math. Appl. 34, No. 4, 187-195 (2024); translation from Diskretn. Mat. 34, No. 4, 3-13 (2022). MSC: 60G50 60F10 60K37 × Cite Format Result Cite Review PDF Full Text: DOI
den Hollander, Frank; Zamparo, Marco Quenched large deviations in renewal theory. (English) Zbl 07904811 Stochastic Processes Appl. 175, Article ID 104414, 23 p. (2024). Reviewer: Eugen Paltanea (Braşov) MSC: 60F10 60K05 60K10 60K37 82D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bazaes, Rodrigo; Mukherjee, Chiranjib; Ramírez, Alejandro F.; Saglietti, Santiago Quenched and averaged large deviations for random walks in random environments: the impact of disorder. (English) Zbl 1511.60151 Ann. Appl. Probab. 33, No. 3, 2210-2246 (2023). MSC: 60K37 60F10 82C41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bazaes, Rodrigo; Mukherjee, Chiranjib; Ramírez, Alejandro F.; Saglietti, Santiago The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior. (English) Zbl 1526.60052 Stochastic Processes Appl. 158, 208-237 (2023). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 60K37 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kubota, Naoki Continuity for the rate function of the simple random walk on supercritical percolation clusters. (English) Zbl 1469.60360 J. Theor. Probab. 33, No. 4, 1948-1973 (2020). MSC: 60K37 60K35 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buraczewski, Dariusz; Dyszewski, Piotr; Iksanov, Alexander; Marynych, Alexander Random walks in a strongly sparse random environment. (English) Zbl 1434.60306 Stochastic Processes Appl. 130, No. 7, 3990-4027 (2020). MSC: 60K37 60F05 60F15 60J80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balázs, Márton; Rassoul-Agha, Firas; Seppäläinen, Timo Large deviations and wandering exponent for random walk in a dynamic beta environment. (English) Zbl 1466.60196 Ann. Probab. 47, No. 4, 2186-2229 (2019). MSC: 60K35 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Buraczewski, Dariusz; Dyszewski, Piotr; Iksanov, Alexander; Marynych, Alexander; Roitershtein, Alexander Random walks in a moderately sparse random environment. (English) Zbl 1467.60085 Electron. J. Probab. 24, Paper No. 69, 44 p. (2019). MSC: 60K37 60F05 60F15 60J80 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Avena, Luca; Chino, Yuki; Da Costa, Conrado; Den Hollander, Frank Random walk in cooling random environment: ergodic limits and concentration inequalities. (English) Zbl 1466.60038 Electron. J. Probab. 24, Paper No. 38, 35 p. (2019). MSC: 60F05 60F10 60G50 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Buraczewski, Dariusz; Dyszewski, Piotr Precise large deviations for random walk in random environment. (English) Zbl 1406.60135 Electron. J. Probab. 23, Paper No. 114, 26 p. (2018). MSC: 60K37 60J10 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Hong, Wenming; Yang, Hui Scaling limit theorem for transient random walk in random environment. (English) Zbl 1402.60038 Front. Math. China 13, No. 5, 1033-1044 (2018). MSC: 60F17 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
van Zuijlen, W. Large deviations of continuous regular conditional probabilities. (English) Zbl 1430.60008 J. Theor. Probab. 31, No. 2, 1058-1096 (2018). MSC: 60A10 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avena, L.; Jara, M.; Völlering, F. Explicit LDP for a slowed RW driven by a symmetric exclusion process. (English) Zbl 1402.60028 Probab. Theory Relat. Fields 171, No. 3-4, 865-915 (2018). Reviewer: Edward Omey (Brussels) MSC: 60F10 82C22 60K37 82D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sabot, Christophe; Tournier, Laurent Random walks in Dirichlet environment: an overview. Dedicated to Dominique Bakry on the occasion of his 60th birthday. (English. French summary) Zbl 1369.60074 Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 2, 463-509 (2017). MSC: 60K37 60G50 60K35 60-02 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI Euclid Link
Avena, Luca; Franco, Tertuliano; Jara, Milton; Völlering, Florian Symmetric exclusion as a random environment: hydrodynamic limits. (English. French summary) Zbl 1359.82012 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 3, 901-916 (2015). Reviewer: Christoph Koutschan (Linz) MSC: 82C05 60K37 82B41 82C41 82C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Gao, Fuqing Laws of iterated logarithm for transient random walks in random environments. (English) Zbl 1319.60056 Front. Math. China 10, No. 4, 857-874 (2015). MSC: 60F15 60K37 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Angeletti, Florian; Touchette, Hugo; Bertin, Eric; Abry, Patrice Large deviations for correlated random variables described by a matrix product ansatz. (English) Zbl 1456.60062 J. Stat. Mech. Theory Exp. 2014, No. 2, Paper No. P02003, 17 p. (2014). MSC: 60F10 60G50 62H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Mei Juan Large deviations for hitting times of a random walk in random environment on a strip. (English) Zbl 1303.60079 Acta Math. Sin., Engl. Ser. 30, No. 3, 395-410 (2014). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60J80 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Rassoul-Agha, Firas; Seppäläinen, Timo Quenched point-to-point free energy for random walks in random potentials. (English) Zbl 1291.60051 Probab. Theory Relat. Fields 158, No. 3-4, 711-750 (2014). Reviewer: Guy Jumarie (Montréal) MSC: 60F10 60K35 60K37 82D60 82B41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rassoul-Agha, Firas; Seppäläinen, Timo; Yilmaz, Atilla Quenched free energy and large deviations for random walks in random potentials. (English) Zbl 1267.60110 Commun. Pure Appl. Math. 66, No. 2, 202-244 (2013). Reviewer: Piotr Garbaczewski (Opole) MSC: 60K37 60G50 60G60 60F10 05C80 82B41 82C41 82D30 82D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avena, L.; Thomann, P. Continuity and anomalous fluctuations in random walks in dynamic random environments: numerics, phase diagrams and conjectures. (English) Zbl 1246.82040 J. Stat. Phys. 147, No. 6, 1041-1067 (2012). MSC: 82B41 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lefevere, Raphaël; Mariani, Mauro; Zambotti, Lorenzo Large deviations of the current in stochastic collisional dynamics. (English) Zbl 1315.82022 J. Math. Phys. 52, No. 3, 033302, 22 p. (2011). MSC: 82C70 82C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yilmaz, Atilla Equality of averaged and quenched large deviations for random walks in random environments in dimensions four and higher. (English) Zbl 1233.60049 Probab. Theory Relat. Fields 149, No. 3-4, 463-491 (2011). Reviewer: Utkir Rozikov (Tashkent) MSC: 60K37 60F10 82C41 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gantert, Nina; Peterson, Jonathon Maximal displacement for bridges of random walks in a random environment. (English. French summary) Zbl 1262.60096 Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 3, 663-678 (2011). MSC: 60K37 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rassoul-Agha, Firas; Seppäläinen, Timo Process-level quenched large deviations for random walk in random environment. (English. French summary) Zbl 1298.60097 Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 1, 214-242 (2011). Reviewer: Guy Jumarie (Montréal) MSC: 60K37 60F10 82D30 82C44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Hong, Wenming; Wang, Huaming Quenched moderate deviations principle for random walk in random environment. (English) Zbl 1209.60028 Sci. China, Math. 53, No. 8, 1947-1956 (2010). MSC: 60G50 60F10 60K37 × Cite Format Result Cite Review PDF Full Text: DOI
Yilmaz, Atilla; Zeitouni, Ofer Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three. (English) Zbl 1202.60163 Commun. Math. Phys. 300, No. 1, 243-271 (2010). MSC: 60K37 60J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Gao, Zhiqiang Tail estimates for one-dimensional non nearest-neighbor random walk in random environment. (English) Zbl 1188.60022 Sci. China, Math. 53, No. 2, 475-484 (2010). MSC: 60G50 60F10 60J80 60K37 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Devulder, Alexis The speed of a branching system of random walks in random environment. (English) Zbl 1138.60341 Stat. Probab. Lett. 77, No. 18, 1712-1721 (2007). MSC: 60K37 60J80 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Li, Ying-qiu; Li, Xu; Liu, Quan-sheng A random walk with a branching system in random environments. (English) Zbl 1123.60074 Sci. China, Ser. A 50, No. 5, 698-704 (2007). MSC: 60K37 60J10 60F05 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Taleb, Marina Annealed tail estimates for a Brownian motion in a drifted Brownian potential. (English) Zbl 1122.60069 Ann. Probab. 35, No. 1, 32-67 (2007). Reviewer: Josef Steinebach (Köln) MSC: 60J60 60F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andreoletti, Pierre On the concentration of Sinai’s walk. (English) Zbl 1106.60044 Stochastic Processes Appl. 116, No. 10, 1377-1408 (2006). Reviewer: A. C. D. van Enter (Groningen) MSC: 60G50 60J55 60K37 82B44 82B41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Andreoletti, Pierre Alternative proof for the localization of Sinai’s walk. (English) Zbl 1082.60098 J. Stat. Phys. 118, No. 5-6, 883-933 (2005). Reviewer: A. C. D. van Enter (Groningen) MSC: 60K37 82B44 82B41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Comets, Francis; Popov, Serguei A note on quenched moderate deviations for Sinai’s random walk in random environment. (English) Zbl 1171.60396 ESAIM, Probab. Stat. 8, 56-65 (2004). MSC: 60K37 60F10 82B41 82B44 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Varadhan, S. R. S. Random walks in a random environment. (English) Zbl 1077.60078 Proc. Indian Acad. Sci., Math. Sci. 114, No. 4, 309-318 (2004). Reviewer: Wolfgang König (Leipzig) MSC: 60K37 60G50 60F10 × Cite Format Result Cite Review PDF Full Text: DOI
Dembo, Amir; Gantert, Nina; Zeitouni, Ofer Large deviations for random walk in random environment with holding times. (English) Zbl 1126.60035 Ann. Probab. 32, No. 1B, 996-1029 (2004). MSC: 60G50 60F10 60J80 60K37 82C41 82C44 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Taleb, Marina Large deviations for a Brownian motion in a drifted Brownian potential. (English) Zbl 1013.60058 Ann. Probab. 29, No. 3, 1173-1204 (2001). MSC: 60J60 60F10 60J65 × Cite Format Result Cite Review PDF Full Text: DOI
Comets, Francis; Gantert, Nina; Zeitouni, Ofer Quenched, annealed and functional large deviations for one-dimensional random walk in random environment. (English) Zbl 0965.60098 Probab. Theory Relat. Fields 118, No. 1, 65-114 (2000); erratum ibid. 125, No. 1, 42-44 (2003). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60K37 60F10 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Pisztora, Agoston; Povel, Tobias Large deviation principle for random walk in a quenched random environment in the flow speed regime. (English) Zbl 0964.60056 Ann. Probab. 27, No. 3, 1389-1413 (1999). Reviewer: Nina Gantert (Berlin) MSC: 60G50 60F10 82C44 60J80 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Yueyun; Shi, Zhan; Yor, Marc Rates of convergence of diffusions with drifted Brownian potentials. (English) Zbl 0932.60083 Trans. Am. Math. Soc. 351, No. 10, 3915-3934 (1999). Reviewer: Nina Gantert (Berlin) MSC: 60J60 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Zhan A local time curiosity in random environment. (English) Zbl 0932.60054 Stochastic Processes Appl. 76, No. 2, 231-250 (1998). Reviewer: M.Janžura (Praha) MSC: 60G50 60J55 × Cite Format Result Cite Review PDF Full Text: DOI
Piau, Didier Functional central limit theorem for a random walk in a random environment. (Théorème central limite fonctionnel pour une marche au hasard en environnement aléatoire.) (French) Zbl 0938.60085 Ann. Probab. 26, No. 3, 1016-1040 (1998). MSC: 60J80 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Greven, A.; den Hollander, F. On a variational problem for an infinite particle system in a random medium. II: The local growth rate. (English) Zbl 0925.60077 Probab. Theory Relat. Fields 100, No. 3, 301-328 (1994). MSC: 60G50 60K35 82B44 × Cite Format Result Cite Review PDF Full Text: DOI