Central limit theorem for ℤd +-actions by toral endomorphisms

Mordechay B. Levin

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


In this paper we prove the central limit theorem for the following multisequence where f is a Hölder's continue function, A1,...,Ad are s×s partially hyperbolic commuting integer matrices, and x is a uniformly distributed random variable in [0,1]s. Then we prove the functional central limit theorem, and the almost sure central limit theorem. The main tool is the S-unit theorem.

Original languageEnglish
JournalElectronic Journal of Probability
StatePublished - 11 Mar 2013


  • Central limit theorem
  • Partially hyperbolic actions
  • Toral endomorphisms


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