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 PDF BibTeX XML Cite \textit{D. Buraczewski} et al., Electron. J. Probab. 24, Paper No. 69, 44 p. (2019; Zbl 1467.60085) Full Text: DOI Euclid OpenURL
Falconnet, M.; Loukianova, D.; Matias, C. Asymptotic normality and efficiency of the maximum likelihood estimator for the parameter of a ballistic random walk in a random environment. (English) Zbl 1297.62184 Math. Methods Stat. 23, No. 1, 1-19 (2014). MSC: 62M05 62F12 60J25 PDF BibTeX XML Cite \textit{M. Falconnet} et al., Math. Methods Stat. 23, No. 1, 1--19 (2014; Zbl 1297.62184) Full Text: DOI arXiv OpenURL
Kosygina, Elena; Mountford, Thomas Limit laws of transient excited random walks on integers. (English. French summary) Zbl 1215.60057 Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 2, 575-600 (2011). MSC: 60K37 60F05 60J80 60J60 PDF BibTeX XML Cite \textit{E. Kosygina} and \textit{T. Mountford}, Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 2, 575--600 (2011; Zbl 1215.60057) Full Text: DOI arXiv EuDML OpenURL
Menshikov, M. V.; Wade, Andrew R. Logarithmic speeds for one-dimensional perturbed random walks in random environments. (English) Zbl 1139.60048 Stochastic Processes Appl. 118, No. 3, 389-416 (2008). MSC: 60K37 60J10 60F15 60G50 PDF BibTeX XML Cite \textit{M. V. Menshikov} and \textit{A. R. Wade}, Stochastic Processes Appl. 118, No. 3, 389--416 (2008; Zbl 1139.60048) Full Text: DOI arXiv OpenURL
Menshikov, M. V.; Wade, Andrew R. Random walk in random environment with asymptotically zero perturbations. (English) Zbl 1116.60059 J. Eur. Math. Soc. (JEMS) 8, No. 3, 491-513 (2006). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K37 60J10 PDF BibTeX XML Cite \textit{M. V. Menshikov} and \textit{A. R. Wade}, J. Eur. Math. Soc. (JEMS) 8, No. 3, 491--513 (2006; Zbl 1116.60059) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{F. Comets} et al., Probab. Theory Relat. Fields 118, No. 1, 65--114 (2000; Zbl 0965.60098) Full Text: DOI OpenURL
Comets, Francis; Menshikov, Mikhail; Popov, Serguei Lyapunov functions for random walks and strings in random environment. (English) Zbl 0938.60065 Ann. Probab. 26, No. 4, 1433-1445 (1998). MSC: 60J10 60J80 60G50 PDF BibTeX XML Cite \textit{F. Comets} et al., Ann. Probab. 26, No. 4, 1433--1445 (1998; Zbl 0938.60065) Full Text: DOI OpenURL
Lalley, Steve An extension of Kesten’s renewal theorem for random walk in a random environment. (English) Zbl 0602.60056 Adv. Appl. Math. 7, 80-100 (1986). Reviewer: R.Grübel MSC: 60G50 60K05 60F05 60F15 PDF BibTeX XML Cite \textit{S. Lalley}, Adv. Appl. Math. 7, 80--100 (1986; Zbl 0602.60056) Full Text: DOI OpenURL
Kesten, H.; Kozlov, M. V.; Spitzer, F. A limit law for random walk in a random environment. (English) Zbl 0388.60069 Compos. Math. 30, 145-168 (1975). MSC: 60G50 60J80 PDF BibTeX XML Cite \textit{H. Kesten} et al., Compos. Math. 30, 145--168 (1975; Zbl 0388.60069) Full Text: Numdam EuDML OpenURL