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Showing 1 to 2 of 2 for “"Frobenius-Perron operator"”.
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On the cyclic structure of the peripheral point spectrum of Perron-Frobenius operators
The Frobenius-Perron operator acting on integrable functions and the Koopman operator acting on essentially bounded functions for a given nonsingular transformation on the unit interval can be shown to have cyclic spectrum by referring to the theory of lattice homomorphisms on a Banach lattice. In …
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Central limit theorem for some classes of dynamical systems
… 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 …