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Bounded density shifts

Published online by Cambridge University Press:  05 July 2013

BRETT STANLEY
BRETT STANLEY*
Affiliation:
School of Mathematics and Statistics, La Trobe University, Bundoora, Melbourne, Victoria 3083, Australia email [email protected]
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Abstract

We consider subshifts of the full shift of bi-infinite sequences with alphabet $\{ 0, 1, \ldots , n- 1\} $ defined by not allowing the sum of finite words to exceed a value depending on its length. These shifts we call bounded density shifts. We study these shifts in detail and make a comparison on the similarities to but also differences from the well-known $\beta $-shifts.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 6 , December 2013 , pp. 1891 - 1928
Copyright
© Cambridge University Press, 2013 

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