A first order phase transition in the threshold \(\theta \geq 2\) contact process on random \(r\)-regular graphs and \(r\)-trees

DOI10.1016/J.SPA.2012.10.001zbMath1261.60090arXiv1011.1567OpenAlexW2963251686MaRDI QIDQ1933600

Shirshendu Chatterjee, Richard T. Durrett

Publication date: 24 January 2013

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1567

zbMATH Keywords

isoperimetric inequalityrandom regular graphsfirst-order phase transitionthreshold contact processbinomial large deviations

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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