Central limit theorems for non-invertible measure preserving maps
Volume 110 / 2008
Colloquium Mathematicum 110 (2008), 167-191
MSC: Primary 37A50, 60F17; Secondary 28D05, 60F05.
DOI: 10.4064/cm110-1-6
Abstract
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.
