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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Some metric properties of piecewise monotonic mappings of the unit interval
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by Sherman Wong PDF
Trans. Amer. Math. Soc. 246 (1978), 493-500 Request permission

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.
References
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 246 (1978), 493-500
  • MSC: Primary 28D05; Secondary 58F11
  • DOI: https://doi.org/10.1090/S0002-9947-1978-0515555-9
  • MathSciNet review: 515555