Multiparameter superadditive ergodic theorems for mean ergodic L 1 -contractions

Doğan Çömez, Michael Lin

Research output: Contribution to journalArticlepeer-review

Abstract

Let T and S be commuting Markovian operators on L1(X). We prove that when the operators are mean ergodic and {F(m,n)} is a directionally (T, S)- superadditive dominated process, then the “averages” n
−2F(n,n) converge in L1-norm. If, further, the process is strongly superadditive, then the same averages converge a.e.as well.
Original languageEnglish
Pages (from-to)173-187
JournalProbability and Mathematical Statistics
Volume23
StatePublished - 1 Jan 2003

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