Persistence of activity in threshold contact processes, an “Annealed approximation” of random Boolean networks

DOI10.1002/rsa.20357zbMath1230.05258arXiv0911.5339OpenAlexW1997575864MaRDI QIDQ3094605

Shirshendu Chatterjee, Richard T. Durrett

Publication date: 25 October 2011

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.5339

zbMATH Keywords

phase transitionrandom graphsgene regulatory networksrandom Boolean networksthreshold contact process

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Applications of graph theory to circuits and networks (94C15)

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Cites Work

• The contact process on a finite set
• The contact process on a finite set. II
• Large deviation rates for branching processes. I: Single type case
• Exact solution of Kauffman's model with connectivity one
• A Metastable Result for the Finite Multidimensional Contact Process