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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.15424 |
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| _version_ | 1866915205391319040 |
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| author | Govaert, Alain Teixeira, André Tegling, Emma |
| author_facet | Govaert, Alain Teixeira, André Tegling, Emma |
| contents | Real-world growth processes and scalings have been broadly categorized into three growth regimes with distinctly different properties and driving forces. The first two are characterized by a positive and constant feedback between growth and growth rates which in the context of networks lead to scale-free or single-scale networks. The third, sublinear, regime is characteristic of biological scaling processes and those that that are driven by optimization and efficiency. These systems are characterized by a negative feedback in growth rates and as such naturally exhibit saturations, i.e., areas where growth ceases from a lack of resources. Motivated by this observation, we propose and analyze a simple network growth process that is analogous to this sublinear regime and characterize how its scale-free saturations impact the diversity and fairness of its structural properties and give rise to scaling relations observed throughout complex systems and science. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The diverse and fair structures of growth with scale-free saturations Govaert, Alain Teixeira, André Tegling, Emma Physics and Society Real-world growth processes and scalings have been broadly categorized into three growth regimes with distinctly different properties and driving forces. The first two are characterized by a positive and constant feedback between growth and growth rates which in the context of networks lead to scale-free or single-scale networks. The third, sublinear, regime is characteristic of biological scaling processes and those that that are driven by optimization and efficiency. These systems are characterized by a negative feedback in growth rates and as such naturally exhibit saturations, i.e., areas where growth ceases from a lack of resources. Motivated by this observation, we propose and analyze a simple network growth process that is analogous to this sublinear regime and characterize how its scale-free saturations impact the diversity and fairness of its structural properties and give rise to scaling relations observed throughout complex systems and science. |
| title | The diverse and fair structures of growth with scale-free saturations |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2503.15424 |