Geodesic
Invariant scrambled sets and maximal distributional chaos
Xinxing Wu1 ; Peiyong Zhu2
1School of Mathematics University of Electronic Science and Technology of China Chengdu, Sichuan, 611731 People's Republic of China and Department of Electronic Engineering City University of Hong Kong Hong Kong SAR People's Republic of China
2School of Mathematics University of Electronic Science and Technology of China Chengdu, Sichuan, 611731 People's Republic of China
Annales Polonici Mathematici, Tome 109 (2013) no. 3, pp. 271-278
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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For the full shift $(\varSigma _{2}, \sigma )$ on two symbols, we construct an invariant distributionally $\epsilon $-scrambled set for all $0\epsilon \operatorname{diam} \varSigma _{2}$ in which each point is transitive, but not weakly almost periodic.
DOI : 10.4064/ap109-3-3
Keywords: full shift varsigma sigma symbols construct invariant distributionally epsilon scrambled set epsilon operatorname diam varsigma which each point transitive weakly almost periodic

Xinxing Wu  1   ; Peiyong Zhu  2

1 School of Mathematics University of Electronic Science and Technology of China Chengdu, Sichuan, 611731 People's Republic of China and Department of Electronic Engineering City University of Hong Kong Hong Kong SAR People's Republic of China
2 School of Mathematics University of Electronic Science and Technology of China Chengdu, Sichuan, 611731 People's Republic of China 
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 maximal distributional chaos},
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 maximal distributional chaos
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 maximal distributional chaos
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Xinxing Wu; Peiyong Zhu. Invariant scrambled sets and
 maximal distributional chaos. Annales Polonici Mathematici, Tome 109 (2013) no. 3, pp. 271-278. doi: 10.4064/ap109-3-3

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