1989•Theory of Probability and Its ApplicationsRequires access
A Limit Theorem for a Random Walk in a Random Environment
A. V. Letchikov
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Abstract
Previous article Next article A Limit Theorem for a Random Walk in a Random EnvironmentA. V. LetchikovA. V. Letchikovhttps://doi.org/10.1137/1133038PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Fred Solomon, Random walks in a random environment, Ann. Probability, 3 (1975), 1–31 50:14943 0305.60029 CrossrefGoogle Scholar[2] Ya. G. Sinai, Limit behavior of a one-dimensional random walk in a random medium, Theory Probab. Appl., 27 (1982), Google Scholar[3] G. A. Ritter, Ph.D. Thesis, Random walk in a random environment, critical case, Cornell University, Ithaca, New York, 1976 Google Scholar[4] A. O. Golosov, Limit distributions for a random walk in a critical one-dimensional random environment, Uspekhi Mat. Nauk, 41 (1986), 189–190, (In Russian.) 842 171 Google Scholar[5] Patrick Billingsley, Convergence of probability measures, John Wiley & Sons Inc., New York, 1968xii+253 38:1718 0172.21201 Google Scholar[6] Yu. I. Lyubich and , M. I. Tabachnikov, Subharmonic functions on an oriented graph, Sibirsk. Mat. Zh., 10 (1969), 600–613, (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Asymptotics of product of nonnegative 2-by-2 matrices with applications to random walks with asymptotically zero drifts6 January 2022 | Linear and Multilinear Algebra, Vol. 7 Cross Ref Sur la récurrence des marches aléatoires unidimensionnelles en environnement aléatoireComptes Rendus de l'Académie des Sciences - Series I - Mathematics, Vol. 329, No. 1 Cross Ref On a Solution Of Kesten’s ProblemA. V. Letchikov17 July 2006 | Theory of Probability & Its Applications, Vol. 35, No. 2AbstractPDF (381 KB) Volume 33, Issue 2| 1989Theory of Probability & Its Applications History Submitted:17 March 1986Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1133038Article page range:pp. 228-238ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics