IDLA with sources in a hyperplane of $\mathbb{Z}^d$

Nicolas Chenavier; David Coupier; Keenan Penner; Arnaud Rousselle

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arXiv · 2403.12590

IDLA with sources in a hyperplane of $\mathbb{Z}^d$

Nicolas Chenavier·David Coupier·Keenan Penner·Arnaud Rousselle

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Abstract

We consider a random growth model based on the IDLA protocol with sources in a hyperplane of $Z^d$ . We provide a stabilization result and a shape theorem generalizing [7] in any dimension by introducing new techniques leading to a rough global upper bound.

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Nicolas Chenavier, David Coupier, Keenan Penner, Arnaud Rousselle. 2024-03-19. IDLA with sources in a hyperplane of $\mathbb{Z}^d$. https://arxiv.org/abs/2403.12590

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