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Random walks with $k$-wise independent increments
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classification
math.PRmath.CO
keywords
randomindependentstepswalkwisealmost-surelyboundedconstruct
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 $m$.
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