Central Limit Theorems for Non-Invertible Measure Preserving Maps

Details Central Limit Theorems for Non-Invertible Measure Preserving Maps Central Limit Theorems for Non-Invertible Measure Preserving Maps

2006-08-25

arxiv.org/abs/math/0608637v2

Colloq. Math. 110 (2008) 167-191

Mathematics

Probability

Scientific paper

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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