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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Equipartition of interval partitions and an application to number theory


Authors: Karma Dajani and Adam Fieldsteel
Journal: Proc. Amer. Math. Soc. 129 (2001), 3453-3460
MSC (1991): Primary 11Kxx, 28Dxx
Published electronically: June 27, 2001
MathSciNet review: 1860476
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Abstract:

We give wider application and simpler proofs of results describing the rate at which the digits of one number-theoretic expansion determine those of another. The proofs are based on general measure-theoretic covering arguments and not on the dynamics of specific maps.


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Additional Information

Karma Dajani
Affiliation: Department of Mathematics, Utrecht University, 3508TA Utrecht, The Netherlands
Email: dajani@math.uu.nl

Adam Fieldsteel
Affiliation: Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459
Email: afieldsteel@wesleyan.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06299-2
PII: S 0002-9939(01)06299-2
Keywords: Entropy, ergodic, continued fraction, number-theoretic fibered map
Received by editor(s): March 8, 2000
Published electronically: June 27, 2001
Additional Notes: The first author was partially supported by NWO grant no. 61-449
We wish to thank Ethan Coven for useful observations.
Communicated by: Michael Handel
Article copyright: © Copyright 2001 American Mathematical Society