Critical value for contact processes on clusters of oriented bond percolation

Xiaofeng Xue

Physica A: Statistical Mechanics and its Applications, 2016, vol. 448, issue C, 205-215

Abstract: In this paper we are concerned with contact processes on open clusters of oriented bond percolation in Zd, where the disease spreads along the direction of open edges. We show that the two critical values in the quenched and annealed cases are equal with probability one and are asymptotically equal to (dp)−1 as the dimension d grows to infinity, where p is the probability that the edge is ‘open’.

Keywords: Contact process; Percolation; Open cluster; Critical value (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:448:y:2016:i:c:p:205-215

DOI: 10.1016/j.physa.2015.12.101

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