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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.08154 |
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| _version_ | 1866915950213726208 |
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| author | Saada, Ellen Sau, Federico Shapira, Assaf |
| author_facet | Saada, Ellen Sau, Federico Shapira, Assaf |
| contents | We derive the Euler (hyperbolic) hydrodynamic limit for the directed exclusion process (DEP), a one-dimensional conservative interacting particle system that preserves particle-hole symmetry while breaking left-right symmetry. The proof relies on an explicit multi-process coupling, which guarantees a strong form of attractiveness and macroscopic stability for the particle system. Further open questions about DEP are briefly discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08154 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hydrodynamic limit of the directed exclusion process Saada, Ellen Sau, Federico Shapira, Assaf Probability We derive the Euler (hyperbolic) hydrodynamic limit for the directed exclusion process (DEP), a one-dimensional conservative interacting particle system that preserves particle-hole symmetry while breaking left-right symmetry. The proof relies on an explicit multi-process coupling, which guarantees a strong form of attractiveness and macroscopic stability for the particle system. Further open questions about DEP are briefly discussed. |
| title | Hydrodynamic limit of the directed exclusion process |
| topic | Probability |
| url | https://arxiv.org/abs/2604.08154 |