Central Limit Theorems for Non-Invertible Measure Preserving Maps

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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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Probability, Dynamical Systems, 28D05, 37A50, 60F05, 60F17

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http://salesiana.dossiersoluciones.com/handle/123456789/158810

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608637
 http://arxiv.org/abs/math/0608637
 Colloq. Math. 110 (2008) 167-191

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arXiv