Unveiling the Dimensionality of Networks of Networks
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918167335403520 |
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| author | Grimaldi, Lorenzo Villegas, Pablo Vezzani, Alessandro Burioni, Raffaella Cassi, Davide Gabrielli, Andrea |
| author_facet | Grimaldi, Lorenzo Villegas, Pablo Vezzani, Alessandro Burioni, Raffaella Cassi, Davide Gabrielli, Andrea |
| contents | "Every object that biology studies is a system of systems." (François Jacob, 1974). Most networks feature intricate architectures originating from tinkering, a repetitive use of existing components where structures are not invented but reshaped. Still, linking the properties of primitive components to the emergent behavior of composite networks remains a key open challenge. Here, by composing scale-invariant networks, we show how tinkering decouples Fiedler and spectral dimensions, hitherto considered identical, providing valuable insights into mesoscopic and macroscopic collective regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20520 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unveiling the Dimensionality of Networks of Networks Grimaldi, Lorenzo Villegas, Pablo Vezzani, Alessandro Burioni, Raffaella Cassi, Davide Gabrielli, Andrea Statistical Mechanics Disordered Systems and Neural Networks Physics and Society "Every object that biology studies is a system of systems." (François Jacob, 1974). Most networks feature intricate architectures originating from tinkering, a repetitive use of existing components where structures are not invented but reshaped. Still, linking the properties of primitive components to the emergent behavior of composite networks remains a key open challenge. Here, by composing scale-invariant networks, we show how tinkering decouples Fiedler and spectral dimensions, hitherto considered identical, providing valuable insights into mesoscopic and macroscopic collective regimes. |
| title | Unveiling the Dimensionality of Networks of Networks |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Physics and Society |
| url | https://arxiv.org/abs/2510.20520 |