Ergodic transformations from an interval into itself

Li, Tien Yien; Yorke, James A.

doi:10.1090/S0002-9947-1978-0457679-0

Ergodic transformations from an interval into itself
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by Tien Yien Li and James A. Yorke

Trans. Amer. Math. Soc. 235 (1978), 183-192

DOI: https://doi.org/10.1090/S0002-9947-1978-0457679-0

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Abstract:

A class of piecewise continuous, piecewise ${C^1}$ transformations on the interval $J \subset R$ with finitely many discontinuities n are shown to have at most n invariant measures.

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