IDLA with sources in a hyperplane of $\mathbb{Z}^d$
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866908703884574720 |
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| author | Chenavier, Nicolas Coupier, David Penner, Keenan Rousselle, Arnaud |
| author_facet | Chenavier, Nicolas Coupier, David Penner, Keenan Rousselle, Arnaud |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12590 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | IDLA with sources in a hyperplane of $\mathbb{Z}^d$ Chenavier, Nicolas Coupier, David Penner, Keenan Rousselle, Arnaud Probability 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. |
| title | IDLA with sources in a hyperplane of $\mathbb{Z}^d$ |
| topic | Probability |
| url | https://arxiv.org/abs/2403.12590 |