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Transactions of the American Mathematical Society
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Metrical diophantine approximation for continued fraction like maps of the interval

Author(s): Andrew Haas; David Molnar
Journal: Trans. Amer. Math. Soc. 356 (2004), 2851-2870.
MSC (2000): Primary 11J70, 11J83, 37E05
Posted: July 24, 2003
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Abstract | References | Similar articles | Additional information

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: 10.1090/S0002-9947-03-03371-3
PII: S 0002-9947(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
Posted: July 24, 2003
Copyright of article: Copyright 2003, American Mathematical Society


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