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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Invariant measures for certain linear fractional transformations mod 1
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by Karlheinz Gröchenig and Andrew Haas PDF
Proc. Amer. Math. Soc. 127 (1999), 3439-3444 Request permission

Abstract:

Explicit invariant measures are derived for a family of finite-to-one, ergodic transformations of the unit interval having indifferent periodic orbits.
References
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Additional Information
  • Karlheinz Gröchenig
  • Affiliation: Department of Mathematics U-3009, The University of Connecticut, Storrs, Connecticut 06269-3009
  • Email: groch@math.uconn.edu
  • Andrew Haas
  • Affiliation: Department of Mathematics U-3009, The University of Connecticut, Storrs, Connecticut 06269-3009
  • Email: haas@math.uconn.edu
  • Received by editor(s): January 1, 1998
  • Published electronically: July 20, 1999
  • Additional Notes: The second author would like to thank the University of Washington for kindly providing access to their research facilities while this paper was in preparation.
  • Communicated by: Linda Keen
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 3439-3444
  • MSC (1991): Primary 11J70, 58F11, 58F03
  • DOI: https://doi.org/10.1090/S0002-9939-99-05008-X
  • MathSciNet review: 1622738