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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:
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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