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Transactions of the American Mathematical Society

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

 

 

Metrical diophantine approximation for continued fraction like maps of the interval


Authors: Andrew Haas and David Molnar
Journal: Trans. Amer. Math. Soc. 356 (2004), 2851-2870
MSC (2000): Primary 11J70, 11J83, 37E05
DOI: https://doi.org/10.1090/S0002-9947-03-03371-3
Published electronically: July 24, 2003
MathSciNet review: 2052599
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Abstract: We study the metrical properties of a class of continued fraction-like mappings of the unit interval, each of which is defined as the fractional part of a Möbius transformation taking the endpoints of the interval to zero and infinity.


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Additional Information

Andrew Haas
Affiliation: Department of Mathematics, The University of Connecticut, Storrs, Connecticut 06269-3009
Email: haas@math.uconn.edu

David Molnar
Affiliation: Department of Mathematics, The University of Connecticut, Storrs, Connecticut 06269-3009
Email: molnar@stolaf.edu

DOI: https://doi.org/10.1090/S0002-9947-03-03371-3
Keywords: Continued fractions, interval maps, diophantine approximation
Received by editor(s): July 8, 2002
Received by editor(s) in revised form: April 8, 2003
Published electronically: July 24, 2003
Article copyright: © Copyright 2003 American Mathematical Society