Journal of Integer Sequences, Vol. 15 (2012), Article 12.2.6

Symbolic Dynamics of (-β)-Expansions


K. Dajani and S. D. Ramawadh
Department of Mathematics
Utrecht University
Postbus 80.010
3508 TA Utrecht
The Netherlands

Abstract:

We study shift spaces associated with a family of transformations generating expansions in base -β, with β > 1. We give a complete characterization when these shift spaces are sofic or even shifts of finite type.


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Received October 10 2011; revised version received January 11 2012. Published in Journal of Integer Sequences, January 14 2012.


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