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2009, Volume 2, Issue 2: 287-300. Doi: 10.3934/dcdss.2009.2.287
This issue Previous Article Limited scope adic transformations Next Article A note on universality in multidimensional symbolic dynamics

Heaviness in symbolic dynamics: Substitution and Sturmian systems

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    Department of Mathematics, The Ohio State University, 231 W. 18th Avenue, Columbus, OH 43210

Received:  January 31, 2008
Revised:  July 31, 2008
Published:  May 2009
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    Abstract
  • Heaviness refers to a sequence of partial sums maintaining a certain lower bound and was recently introduced and studied in [11]. After a review of basic properties to familiarize the reader with the ideas of heaviness, general principles of heaviness in symbolic dynamics are introduced. The classical Morse sequence is used to study a specific example of heaviness in a system with nontrivial rational eigenvalues. To contrast, Sturmian sequences are examined, including a new condition for a sequence to be Sturmian.
    Mathematics Subject Classification: Primary: 37B10.

    Citation:
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