Geodesic
On some notions of chaos in dimension zero
Rafał Piku/la1
1 Department of Mathematics Ohio State University 100 Mathematics Building, 231 West 18th Avenue Columbus, OH 43210-1174, U.S.A.
Colloquium Mathematicum, Tome 107 (2007) no. 2, pp. 167-177 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We compare four different notions of chaos in zero-dimensional systems (subshifts). We provide examples showing that in that case positive topological entropy does not imply strong chaos, strong chaos does not imply complicated dynamics at all, and $\omega $-chaos does not imply Li–Yorke chaos.
DOI : 10.4064/cm107-2-1
Keywords: compare different notions chaos zero dimensional systems subshifts provide examples showing that positive topological entropy does imply strong chaos strong chaos does imply complicated dynamics omega chaos does imply yorke chaos

Rafał Piku/la 1

1 Department of Mathematics Ohio State University 100 Mathematics Building, 231 West 18th Avenue Columbus, OH 43210-1174, U.S.A. 
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Rafał Piku/la. On some notions of chaos in dimension zero. Colloquium Mathematicum, Tome 107 (2007) no. 2, pp. 167-177. doi: 10.4064/cm107-2-1

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