Central limit theorems for non-invertible measure preserving maps

• Autorzy: Michael C. Mackey , Marta Tyran-Kamińska
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A50: Relations with probability theory and stochastic processes
• 60F17: Functional limit theorems; invariance principles
• 60F05: Central limit and other weak theorems
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 1
• Strony: 167-191

Daty

wydano

2008

Twórcy

autor

Michael C. Mackey

• Departments of Physiology, Physics & Mathematics, and Centre for Nonlinear Dynamics, McGill University, 3655 Promenade Sir William Osler, Montréal, QC, Canada H3G 1Y6

autor

Marta Tyran-Kamińska

• Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/cm110-1-6