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math.PR2004
Random walks with -wise independent increments
Itai Benjamini, Gady Kozma, Dan Romik
We construct examples of a random walk with pairwise-independent steps which is almost-surely bounded, and for any and a random walk with -wise independent steps which h…
math.PR2004★ 9 cited
Limit shapes for random square Young tableaux and plane partitions
Boris Pittel, Dan Romik
Our main result is a limit shape theorem for the two-dimensional surface defined by a uniform random n-by-n square Young tableau. The analysis leads to a calculus of variations min…