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A series of dynamical properties of gliders on their concrete subsystems are investigated by means of the directed graph representation and transition matrix. More specifically, the gliders here are topologically mixing and possess the positive topological entropy on their subsystems. Finally, it is worth mentioning that the method presented in this paper is also applicable to other gliders in different [Formula: see text] dimensions.<\/jats:p>","DOI":"10.1142\/s0218127416500358","type":"journal-article","created":{"date-parts":[[2016,3,10]],"date-time":"2016-03-10T03:26:20Z","timestamp":1457580380000},"page":"1650035","source":"Crossref","is-referenced-by-count":0,"title":["A Symbolic Dynamics Perspective of Conway\u2019s Game of Life"],"prefix":"10.1142","volume":"26","author":[{"given":"Fangyue","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. 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