Contact processes with random connection weights on regular graphs

Xiaofeng Xue

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 20, 4749-4759

Abstract: In this paper we study the asymptotic critical value of contact processes with random connection weights, sitting on a degree-increasing sequence of r-regular graph Gr. We propose a method to generalize the asymptotics results for λc(Zd) and λc(Td) of classical contact processes as well as of recent work for contact processes on complete graphs with random connection weights. Only the lower bound is rigorously proved; it is conjectured, however, that the lower bound gives the right asymptotic behavior. For comparison purposes we also introduce binary contact path processes with random connection weights, whose asymptotic behavior of the critical value is obtained.

Keywords: Contact processes; Random connection weights; Regular graphs; Critical value; Binary contact path process (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:20:p:4749-4759

DOI: 10.1016/j.physa.2013.06.029

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