Geodesic
Central limit theorems for non-invertible measure preserving maps
Michael C. Mackey 1   ; Marta Tyran-Kamińska 2
1 Departments of Physiology, Physics & Mathematics and Centre for Nonlinear Dynamics McGill University 3655 Promenade Sir William Osler Montréal, QC, Canada H3G 1Y6
2 Institute of Mathematics University of Silesia Bankowa 14 40-007 Katowice, Poland
Colloquium Mathematicum, Tome 110 (2008) no. 1, pp. 167-191 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm110-1-6
Keywords: using perron frobenius operator establish functional central limit theorem non invertible measure preserving maps necessarily ergodic apply result asymptotically periodic transformations specific example using tent map

Michael C. Mackey  1   ; Marta Tyran-Kamińska  2

1 Departments of Physiology, Physics & Mathematics and Centre for Nonlinear Dynamics McGill University 3655 Promenade Sir William Osler Montréal, QC, Canada H3G 1Y6
2 Institute of Mathematics University of Silesia Bankowa 14 40-007 Katowice, Poland 
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Michael C. Mackey; Marta Tyran-Kamińska. Central limit theorems for
 non-invertible measure preserving maps. Colloquium Mathematicum, Tome 110 (2008) no. 1, pp. 167-191. doi: 10.4064/cm110-1-6

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