The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Phase transitions in random networks: Simple analytic determination of critical points
Abstract
The standard method for determining the critical points in random networks (such as Boolean nets) is based on the Derrida approximation. This method leads to the critical points based on the so-called annealed approximation. In this paper, we present a very simple annealed approximation based on the study of damage spreading when single elements are modified. Several examples are analyzed.
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“Interestingly, the basic McCulloch–Pitts design is common to many other living systems, including gene regulatory networks [256–259], immune networks [260–262], collective intelligence [263–267] or some aneural systems, such as quorum-sensing decisions in microbial communities, where an explicit equivalence has been defined [268].”
From Fundamental constraints to the logic of living systems (2024) · cites this paper as [258]
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Metadata
- Authors
- Luque, B., & Solé, R. V.
- Affiliations
- Universidad Nacional Autónoma de México (MX)
- Santa Fe Institute (US)
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1997-01-01
- Volume
- 55
- Issue
- 1
- Pages
- 257-260
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W1992555597
- Cited by
- 111
- References
- 12
- Citations by year
- 2026: 2 · 2024: 5 · 2023: 6 · 2022: 6 · 2021: 2 · 2020: 2 · 2019: 2 · 2018: 1 · 2017: 1 · 2016: 4 · 2015: 2 · 2014: 4 · 2013: 3 · 2012: 3
- FWCI
- 2.69
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Network Analysis Techniques
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Cellular Automata and Applications
- Keywords
- random networks, phase transitions, critical points, Boolean networks, damage spreading, annealed approximation, spin glass
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