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Central limit theorems for non-invertible measure preserving maps

Tom 110 / 2008

Michael C. Mackey, Marta Tyran-Kamińska Colloquium Mathematicum 110 (2008), 167-191 MSC: Primary 37A50, 60F17; Secondary 28D05, 60F05. DOI: 10.4064/cm110-1-6

Streszczenie

Using the Perron–Frobenius operator we establish a new functional central limit theorem for non-invertible measure preserving maps that are not necessarily ergodic. We apply the result to asymptotically periodic transformations and give a specific example using the tent map.

Autorzy

  • Michael C. MackeyDepartments of Physiology, Physics & Mathematics
    and Centre for Nonlinear Dynamics
    McGill University
    3655 Promenade Sir William Osler
    Montréal, QC, Canada H3G 1Y6
    e-mail
  • Marta Tyran-KamińskaInstitute of Mathematics
    University of Silesia
    Bankowa 14
    40-007 Katowice, Poland
    e-mail

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