Benjamini, Itai; Kozma, Gady; Romik, Dan Random walks with \(k\)-wise independent increments. (English) Zbl 1111.60027 Electron. Commun. Probab. 11, 100-107 (2006). Summary: We construct examples of a random walk with pairwise-independent steps which is almost surely bounded, and for any \(m\) and \(k\) a random walk with \(k\)-wise independent steps which has no stationary distribution modulo \(m\). Cited in 3 Documents MSC: 60B10 Convergence of probability measures 60G50 Sums of independent random variables; random walks 65C10 Random number generation in numerical analysis PDF BibTeX XML Cite \textit{I. Benjamini} et al., Electron. Commun. Probab. 11, 100--107 (2006; Zbl 1111.60027) Full Text: DOI arXiv EuDML