SUBSTITUTIONS, TILING DYNAMICAL SYSTEMS AND MINIMAL SELF-JOININGS
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SCOPUS
- Title
- SUBSTITUTIONS, TILING DYNAMICAL SYSTEMS AND MINIMAL SELF-JOININGS
- Authors
- Son, Younghwan
- Date Issued
- 2014-11
- Publisher
- Dept. of Mathematics, Southwest Missouri State University
- Abstract
- We investigate substitution subshifts and tiling dynamical systems arising from the substitutions (1) theta : 0 -> 001, 1 -> 11001 and (2) eta : 0 > 001, 1 -> 11100. We show that the substitution subshifts arising from 61 and n have minimal self-joinings and are mildly mixing. We also give a criterion for 1-dimensional tiling systems arising from 61 or n to have minimal self-joinings. We apply this to obtain examples of mildly mixing 1-dimensional tiling systems.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/104248
- DOI
- 10.3934/dcds.2014.34.4855
- ISSN
- 1078-0947
- Article Type
- Article
- Citation
- Discrete and Continuous Dynamical Systems, vol. 34, no. 11, page. 4855 - 4874, 2014-11
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