An Improved Subadditive Ergodic Theorem
Liggett, Thomas M.
Ann. Probab., Tome 13 (1985) no. 4, p. 1279-1285 / Harvested from Project Euclid
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A new version of Kingman's subadditive ergodic theorem is presented, in which the subadditivity and stationarity assumptions are relaxed without weakening the conclusions. This result applies to a number of situations that were not covered by Kingman's original theorem. The proof involves a rather simple reduction to the additive case, where Birkhoff's ergodic theorem can be applied.
Publié le : 1985-11-14
Classification:  Subadditive processes,  ergodic theory,  percolation,  contact processes,  60F15,  60K35 
@article{1176992811,
     author = {Liggett, Thomas M.},
     title = {An Improved Subadditive Ergodic Theorem},
     journal = {Ann. Probab.},
     volume = {13},
     number = {4},
     year = {1985},
     pages = { 1279-1285},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176992811}
}

Liggett, Thomas M. An Improved Subadditive Ergodic Theorem. Ann. Probab., Tome 13 (1985) no. 4, pp.  1279-1285. http://gdmltest.u-ga.fr/item/1176992811/