Central limit theorems for non-invertible measure preserving maps

Michael C. Mackey, and Marta Tyran-Kamińska. "Central limit theorems for non-invertible measure preserving maps." Colloquium Mathematicae 110.1 (2008): 167-191. <http://eudml.org/doc/284335>.

@article{MichaelC2008,
abstract = {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.},
author = {Michael C. Mackey, Marta Tyran-Kamińska},
journal = {Colloquium Mathematicae},
keywords = {functional central limit theorem; measure preserving transformation; Perron–Frobenius operator; maximal inequality; asymptotic periodicity; tent map},
language = {eng},
number = {1},
pages = {167-191},
title = {Central limit theorems for non-invertible measure preserving maps},
url = {http://eudml.org/doc/284335},
volume = {110},
year = {2008},
}

TY - JOUR
AU - Michael C. Mackey
AU - Marta Tyran-Kamińska
TI - Central limit theorems for non-invertible measure preserving maps
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 1
SP - 167
EP - 191
AB - 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.
LA - eng
KW - functional central limit theorem; measure preserving transformation; Perron–Frobenius operator; maximal inequality; asymptotic periodicity; tent map
UR - http://eudml.org/doc/284335
ER -