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- W3106516948 abstract "The aim of this article is to prove asymptotic shape theorems for the contact process in stationary random environment. These theorems generalize known results for the classical contact process. In particular, if H_t denotes the set of already occupied sites at time t, we show that for almost every environment, when the contact process survives, the set H_t/t almost surely converges to a compact set that only depends on the law of the environment. To this aim, we prove a new almost subadditive ergodic theorem." @default.
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- W3106516948 date "2012-08-01" @default.
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- W3106516948 title "Asymptotic shape for the contact process in random environment" @default.
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- W3106516948 doi "https://doi.org/10.1214/11-aap796" @default.
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