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 Electronic Communications in Probability > Vol. 11 (2006) > Paper 10 open journal systems 


Random walks with k-wise independent increments

Itai Benjamini, The Weizmann Institute of Science
Gady Kozma, The Weizmann Institute of Science
Dan Romik, University of California, Berkeley


Abstract
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.


Full text: PDF

Pages: 100-107

Published on: July 6, 2006


Bibliography
  1. Alon, Noga; Spencer, Joel H. The probabilistic method. Optimization. Wiley-Interscience [John Wiley & Sons], New York, 2000. xviii+301 pp. ISBN: 0-471-37046-0 MR1885388 (2003f:60003)
  2. Janson, Svante. Some pairwise independent sequences for which the central limit theorem Stochastics 23 (1988), no. 4, 439--448. MR0943814 (89e:60048)
  3. Joffe, A. On a set of almost deterministic $k$-independent random variables. Ann. Probability 2 (1974), no. 1, 161--162. MR0356150 (50 #8621)
  4. Schipp, F.; Wade, W. R.; Simon, P.. Walsh series. Adam Hilger, Ltd., Bristol, 1990. x+560 pp. ISBN: 0-7503-0068-X MR1117682 (92g:42001)
  5. Wade, William R. Dyadic harmonic analysis. 313--350, Contemp. Math., 208, Amer. Math. Soc., Providence, RI, 1997. MR1467014 (98m:42046)
















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Electronic Communications in Probability. ISSN: 1083-589X