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Random \beta-expansions

Published online by Cambridge University Press:  22 September 2003

KARMA DAJANI  and
COR KRAAIKAMP
KARMA DAJANI
Affiliation:
Mathematics Department, Utrecht University, 3508TA Utrecht, The Netherlands (e-mail: [email protected])
COR KRAAIKAMP
Affiliation:
TU Delft, Department of Information Technology and Systems, CROSS, Thomas Stieltjes Institute for Mathematics, Mekelweg 4, 2628 CD Delft, The Netherlands (e-mail: [email protected])
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Abstract

In this paper, random expansions to non-integer bases \beta >1 are studied. For \beta's satisfying \beta^2=n\beta +k (with 1\leq k\leq n) and \beta^n=\beta^{n-1}+\dotsb + \beta +1 the ergodic properties of such expansions are described.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 2 , April 2003 , pp. 461 - 479
Copyright
2003 Cambridge University Press

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