# Central limit theorems for non-invertible measure preserving maps

Michael C. Mackey; Marta Tyran-Kamińska

Colloquium Mathematicae (2008)

- Volume: 110, Issue: 1, page 167-191
- ISSN: 0010-1354

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topMichael 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 -

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