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- W9763375 abstract "SUMMARY An ergodic theory is developed for the subadditive processes introduced by Hammersley and Welsh (1965) in their study of percolation theory. This is a complete generalization of the classical law of large numbers for stationary sequences. 1. SUBADDITIVE PROCESSES IN an important paper Hammersley and Welsh (1965) introduced the concept of a subadditive stochastic process, and they have shown how such processes arise naturally in various contexts, but particularly in the study of random flows in lattices. They have shown that one may expect these processes to exhibit a certain ergodic behaviour, and have taken the first steps towards the construction of an ergodic theory like the classical one for averages of stationary sequences. If T is any subset of the real line, a subadditive process x on T is a collection of (real) random variables xst(s, t E T, s < t) with the property that" @default.
- W9763375 created "2016-06-24" @default.
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- W9763375 date "1968-09-01" @default.
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- W9763375 title "The Ergodic Theory of Subadditive Stochastic Processes" @default.
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- W9763375 doi "https://doi.org/10.1111/j.2517-6161.1968.tb00749.x" @default.
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