Ratio and Stochastic Ergodic Theorems for Superadditive Processes
Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 441-447

Voir la notice de l'article provenant de la source Cambridge University Press

1. Introduction. Let (X, , m) be a σ-finite measure space and let T be a positive linear operator on L1 = L1(X, , m). T is called Markovian if (1.1) T is called sub-Markovian if (1.2) All sets and functions are assumed measurable; all relations and statements are assumed to hold modulo sets of measure zero.For a sequence of L 1 + functions (ƒ 0, ƒ 1, ƒ 2, ...), let (ƒn ) is called a super additive sequence or process, and (sn ) a super additive sum relative to a positive linear operator T on L 1 if (1.3) and (1.4)
Fong, Humphrey. Ratio and Stochastic Ergodic Theorems for Superadditive Processes. Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 441-447. doi: 10.4153/CJM-1979-048-2
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