Central limit theorem for some classes of dynamical systems
Spectrum: Concordia University Research Repository
View Archive Info| Field | Value | |
| Title |
Central limit theorem for some classes of dynamical systems
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| Creator |
Rahman, Mohammad Mahbubur
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| Description |
We consider a transformation T of the unit interval (0, 1) into itself which is piecewise $C\sp2$ and expanding. Using the spectral decomposition of the Frobenius-Perron operator of T, we give a proof of the Central Limit Theorem for$$\left({1\over n}\right)\sum\sbsp{i=0}{n-1}f\circ T\sp{i},$$where f is a function of bounded variation. It is also shown that the speed of covergence in the Central Limit Theorem is of the order ${1\over\sqrt n}.$
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| Date |
1997
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| Type |
Thesis
NonPeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://spectrum.library.concordia.ca/236/1/MQ25986.pdf
Rahman, Mohammad Mahbubur (1997) Central limit theorem for some classes of dynamical systems. Masters thesis, Concordia University. |
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| Relation |
http://spectrum.library.concordia.ca/236/
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