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Ergodic Transformations from an Interval Into Itself

Tien-Yien Li and James A. Yorke
Transactions of the American Mathematical Society
Vol. 235 (Jan., 1978), pp. 183-192
DOI: 10.2307/1998213
Stable URL: http://www.jstor.org/stable/1998213
Page Count: 10
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Ergodic Transformations from an Interval Into Itself
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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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