Some Metric Properties of Piecewise Monotonic Mappings of the Unit Interval
- 1 December 1978
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 246, 493-500
- https://doi.org/10.2307/1997990
Abstract
In this note, the result of Lasota and Yorke on the existence of invariant measures for piecewise ${C^2}$ functions is extended to a larger class of piecewise continuous functions. Also the result of Li and Yorke on the existence of ergodic measures for piecewise ${C^2}$ functions is extended for the above class of functions.
Keywords
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