Notions of complexity in substitution dynamical systems Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/k930c1602

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  • There has been a lot of work done in recent decades in the field of symbolic dynamics. Much attention has been paid to the so-called "complexity" function, which gives a sense of the rate at which the number of words in the system grow. In this paper, we explore this and several notions of complexity of specific symbolic dynamical systems. In particular, we compute positive entropy and state some k-balancedness properties of a few specific (random) substitutions. We also view certain sequences as subsets of Z², stating several properties and computing bounds on entropy in a specific example.
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  • description.provenance : Approved for entry into archive by Laura Wilson(laura.wilson@oregonstate.edu) on 2011-06-02T16:44:22Z (GMT) No. of bitstreams: 1 WingDavidJ2011.pdf: 558336 bytes, checksum: 915ccfb557d769b37f313ee0e3fdebde (MD5)
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  • description.provenance : Approved for entry into archive by Julie Kurtz(julie.kurtz@oregonstate.edu) on 2011-06-01T19:55:00Z (GMT) No. of bitstreams: 1 WingDavidJ2011.pdf: 558336 bytes, checksum: 915ccfb557d769b37f313ee0e3fdebde (MD5)
  • description.provenance : Submitted by David Wing (wingda) on 2011-06-01T00:11:30Z No. of bitstreams: 1 WingDavidJ2011.pdf: 558336 bytes, checksum: 915ccfb557d769b37f313ee0e3fdebde (MD5)

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