Almost Subadditive Extensions of Kingman's Ergodic Theorem
Schurger, Klaus
Ann. Probab., Tome 19 (1991) no. 4, p. 1575-1586 / Harvested from Project Euclid
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Based on two notions of almost subadditivity which were introduced by Derriennic and Schurger, two a.s. limit theorems are proved which both generalize Kingman's subadditive ergodic theorem. These results, being valid under weak moment conditions, are obtained by short proofs. One of these proofs is completely elementary and does not even make use of Birkhoff's ergodic theorem which, instead, is obtained as a by-product. Finally, an improvement of Liggett's a.s. limit theorem is given.
Publié le : 1991-10-14
Classification:  Subadditive processes,  ergodic theory,  almost subadditive process,  entropy,  random graphs,  60F15,  60G10 
@article{1176990224,
     author = {Schurger, Klaus},
     title = {Almost Subadditive Extensions of Kingman's Ergodic Theorem},
     journal = {Ann. Probab.},
     volume = {19},
     number = {4},
     year = {1991},
     pages = { 1575-1586},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176990224}
}

Schurger, Klaus. Almost Subadditive Extensions of Kingman's Ergodic Theorem. Ann. Probab., Tome 19 (1991) no. 4, pp.  1575-1586. http://gdmltest.u-ga.fr/item/1176990224/