Vanishing configurations in network dynamics with asynchronous updates

DOI10.1090/S0002-9939-2014-12044-2zbMath1302.62229OpenAlexW1982442749MaRDI QIDQ3190186

Ian H. Dinwoodie

Publication date: 16 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12044-2

zbMATH Keywords

Gröbner basisbasin of attractionMarkov chainBoolean networkasynchronous network

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Social networks; opinion dynamics (91D30) Discrete-time Markov processes on general state spaces (60J05) Dynamical systems in biology (37N25) Medical applications (general) (92C50) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (1)

Computational methods for asynchronous basins

Uses Software

• SINGULAR

Cites Work

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• A mathematical framework for agent based models of complex biological networks
• Sequential importance sampling of binary sequences
• The Hilbert zonotope and a polynomial time algorithm for universal Gröbner bases.
• Conditional tests on basins of attraction with finite fields

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