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arXiv · 2509.10616

Mean-field limit for activated random walk on the integer lattice

Matthew Junge·Harley Kaufman·Josh Meisel
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Abstract

We show that the critical density for activated random walk on $\mathbb{Z}^d$ approaches the sleep probability as $d \to \infty$ and provide the first-order correction.

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Matthew Junge, Harley Kaufman, Josh Meisel. 2025-09-12. Mean-field limit for activated random walk on the integer lattice. https://arxiv.org/abs/2509.10616

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