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Article Dans Une Revue Electronic Communications in Probability Année : 2018

CUTOFF FOR A STRATIFIED RANDOM WALK ON THE HYPERCUBE

Résumé

We consider the random walk on the hypercube which moves by picking an ordered pair (i, j) of distinct coordinates uniformly at random and adding the bit at location i to the bit at location j, modulo 2. We show that this Markov chain has cutoff at time 3 2 n log n with window of size n, solving a question posed by Chung and Graham (1997).
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Dates et versions

hal-01598915 , version 1 (05-10-2017)

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  • HAL Id : hal-01598915 , version 1

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Anna Ben-Hamou, Yuval Peres. CUTOFF FOR A STRATIFIED RANDOM WALK ON THE HYPERCUBE. Electronic Communications in Probability, 2018. ⟨hal-01598915⟩
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