On the central limit theorem for dynamical systems

Robert Burton, Manfred Denker

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

Given an aperiodic dynamical system (X, T, m) then there is an f ϵ L2(m) with ò f dm = 0 satisfying the Central Limit Theorem, i.e. if Smf = f +foT+…+f o Tm-1 and sm = ||Smf||2 then (formula presented) The analogous result also holds for flows.

Original languageEnglish (US)
Pages (from-to)715-726
Number of pages12
JournalTransactions of the American Mathematical Society
Volume302
Issue number2
DOIs
StatePublished - Aug 1987

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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