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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On the existence of invariant measures for piecewise monotonic transformations


Authors: A. Lasota and James A. Yorke
Journal: Trans. Amer. Math. Soc. 186 (1973), 481-488
MSC: Primary 28A70
DOI: https://doi.org/10.1090/S0002-9947-1973-0335758-1
MathSciNet review: 0335758
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Abstract: A class of piecewise continuous, piecewise $ {C^1}$ transformations on the interval [0, 1] is shown to have absolutely continuous invariant measures.


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DOI: https://doi.org/10.1090/S0002-9947-1973-0335758-1
Keywords: Frobenius-Perron operator, invariant measures
Article copyright: © Copyright 1973 American Mathematical Society