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arxiv: math/0405601 · v1 · submitted 2004-05-31 · 🧮 math.PR · math.CO

Random walks with k-wise independent increments

classification 🧮 math.PR math.CO
keywords randomindependentstepswalkwisealmost-surelyboundedconstruct
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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 $m$.

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