Central Limit Theorems for Non-Invertible Measure Preserving Maps
Michael C. Mackey, Marta Tyran-Kaminska
Abstract
We establish a new functional central limit theorem result for non-invertible measure preserving maps that are not necessarily ergodic, using the Perron-Frobenius operator. We apply the result to asymptotically periodic transformations and give an extensive specific example of asymptotically periodic transformations by using the tent map.
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