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CUTOFF FOR A STRATIFIED RANDOM WALK ON THE HYPERCUBE

Abstract : 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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-01598915
Contributor : Anna Ben-Hamou <>
Submitted on : Thursday, October 5, 2017 - 5:26:23 PM
Last modification on : Friday, March 27, 2020 - 3:43:45 AM

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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. 2017. ⟨hal-01598915⟩

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