Central limit theorems for non-invertible measure preserving maps
Michael C. Mackey ; Marta Tyran-Kamińska
Colloquium Mathematicae, Tome 111 (2008), p. 167-191 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:284335 
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     zbl = {1142.37010},
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Michael C. Mackey; Marta Tyran-Kamińska. Central limit theorems for non-invertible measure preserving maps. Colloquium Mathematicae, Tome 111 (2008) pp. 167-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-1-6/