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