Macroscopic Dominance from Microscopic Extremes: Symmetry Breaking in Spatial Competition
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912961874886656 |
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| author | Guha, Stuti Ryan, Shawn D. Karamched, Bhargav R. |
| author_facet | Guha, Stuti Ryan, Shawn D. Karamched, Bhargav R. |
| contents | How do competing populations convert a spatial advantage into macroscopic dominance? We introduce a stochastic model for resource competition that decouples the transient discovery phase from monopolization. Initial symmetry breaking is governed by extreme value statistics of first-passage times: a linear spatial disadvantage requires an exponentially larger population to overcome. However, transient superiority cannot stabilize dominance. A non-reciprocal interaction bias is strictly necessary to arrest local fluctuations and drive the system into a robust absorbing state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10911 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Macroscopic Dominance from Microscopic Extremes: Symmetry Breaking in Spatial Competition Guha, Stuti Ryan, Shawn D. Karamched, Bhargav R. Populations and Evolution How do competing populations convert a spatial advantage into macroscopic dominance? We introduce a stochastic model for resource competition that decouples the transient discovery phase from monopolization. Initial symmetry breaking is governed by extreme value statistics of first-passage times: a linear spatial disadvantage requires an exponentially larger population to overcome. However, transient superiority cannot stabilize dominance. A non-reciprocal interaction bias is strictly necessary to arrest local fluctuations and drive the system into a robust absorbing state. |
| title | Macroscopic Dominance from Microscopic Extremes: Symmetry Breaking in Spatial Competition |
| topic | Populations and Evolution |
| url | https://arxiv.org/abs/2603.10911 |