SFB 303 Discussion Paper No. B-190
Author:
Schürger, Klaus
Title: Almost Subadditive Extensions of Kingman's Ergodic Theorem
Abstract: Based on two notions of almost subadditivity which were introduced by
Derriennic [1] and Schürger [10], two a.s. limit theorems are proved which
both generalize Kingman's [4] 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 byproduct.
Finally, an improvement of Liggett's [6] a.s. limit theorem is given.
Keywords: Subadditive processes, ergodic theory, almost subadditive process,
entropy, random graphs
JEL-Classification-Number:
Creation-Date: June
1991
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