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• W3208282669 abstract "We consider the extinction time of the contact process on increasing sequences of finite graphs obtained from a variety of random graph models. Under the assumption that the infection rate is above the critical value for the process on the integer line, in each case we prove that the logarithm of the extinction time divided by the size of the graph converges in probability to a (model-dependent) positive constant. The graphs we treat include various percolation models on increasing boxes of ℤ d or ℝ d in their supercritical or percolative regimes (Bernoulli bond and site percolation, the occupied and vacant sets of random interlacements, excursion sets of the Gaussian free field, random geometric graphs) as well as supercritical Galton–Watson trees grown up to finite generations." @default.
• W3208282669 created "2021-11-08" @default.
• W3208282669 creator A5040375538 @default.
• W3208282669 creator A5040935983 @default.
• W3208282669 date "2021-10-26" @default.
• W3208282669 modified "2023-09-24" @default.
• W3208282669 title "Exponential rate for the contact process extinction time" @default.
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• W3208282669 doi "https://doi.org/10.5802/afst.1683" @default.
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