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Computation at the edge of chaos: Phase transitions and emergent computation
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“As it has been proposed, adaptive systems require a high C in order to be able to cope with changes of its environment while at the same time maintaining their integrity (Langton, 1990; Kauffman, 1993).”
From Information Measures of Complexity, Emergence, Self-organization, Homeostasis, and Autopoiesis (2013) · cites this paper as Langton, 1990
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“As it has been proposed by several authors, complexity can be seen as balance between order and disorder (Langton, 1990; Kauffman, 1993; Lopez-Ruiz et al., 1995)”
From Information Measures of Complexity, Emergence, Self-organization, Homeostasis, and Autopoiesis (2013) · cites this paper as Langton, 1990
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“It has been argued that computation and life require this balance to be able to compute and adapt (Langton, 1990; Kauffman, 1993).”
From Information Measures of Complexity, Emergence, Self-organization, Homeostasis, and Autopoiesis (2013) · cites this paper as Langton, 1990
In the citing paper
“Finally, we show that a randomly connected circuit model, akin to a “reservoir” network13-15, can reproduce the observed distribution of timescales, provided that the network operates at the critical point (or “edge of chaos”)16-18.”
From A reservoir of time constants for memory traces in cortical neurons (2011) · cites this paper as [18]
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Metadata
- Authors
- Langton, C. G.
- Affiliations
- Los Alamos National Laboratory (US)
- Corresponding author
- Langton, Chris G.
- Venue
- Physica D: Nonlinear Phenomena
- Publisher
- Elsevier BV
- Published
- 1990-06
- Volume
- 42
- Issue
- 1-3
- Pages
- 12-37
- ISSN
- 0167-2789 (ISSN-L)
- OpenAlex
- W2177218873
- Cited by
- 1,527
- References
- 26
- Citations by year
- 2026: 66 · 2025: 61 · 2024: 93 · 2023: 51 · 2022: 67 · 2021: 63 · 2020: 71 · 2019: 48 · 2018: 73 · 2017: 70 · 2016: 42 · 2015: 56 · 2014: 51 · 2013: 72 · 2012: 59
- FWCI
- 14.66
- Type
- journal article
- Language
- en
- Open access
- green
- www.osti.gov
- Locations
- Physica D Nonlinear Phenomena (publishedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- Topics
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Cellular Automata and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Systems and Dynamics
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Computability, Logic, AI Algorithms
- Keywords
- emergent computation, phase transitions, cellular automata, tipping points, second-order phase transition, information transmission, information storage, complexity classes, halting problem, edge of chaos
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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