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Entropy
Volume 6
Issue 2
10.3390/e6020257
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Retraction published on 21 February 2014, see Entropy 2014, 16(2), 1122.
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Article

Statistical Convergent Topological Sequence Entropy Maps of the Circle

by
Bünyamin Aydin
Cumhuriyet University, Sivas, Turkey
Entropy 2004, 6(2), 257-261; https://doi.org/10.3390/e6020257
Submission received: 26 August 2003 / Accepted: 17 December 2003 / Published: 19 March 2004
Versions Notes

Abstract

A continuous map f of the interval is chaotic iff there is an increasing of nonnegative integers T such that the topological sequence entropy of f relative to T, hT(f), is positive [4]. On the other hand, for any increasing sequence of nonnegative integers T there is a chaotic map f of the interval such that hT(f)=0 [7]. We prove that the same results hold for maps of the circle. We also prove some preliminary results concerning statistical convergent topological sequence entropy for maps of general compact metric spaces.
Keywords: Statistical convergent; topological sequence; entropy; sequence entropy Statistical convergent; topological sequence; entropy; sequence entropy

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MDPI and ACS Style

Aydin, B. Statistical Convergent Topological Sequence Entropy Maps of the Circle. Entropy 2004, 6, 257-261. https://doi.org/10.3390/e6020257

AMA Style

Aydin B. Statistical Convergent Topological Sequence Entropy Maps of the Circle. Entropy. 2004; 6(2):257-261. https://doi.org/10.3390/e6020257

Chicago/Turabian Style

Aydin, Bünyamin. 2004. "Statistical Convergent Topological Sequence Entropy Maps of the Circle" Entropy 6, no. 2: 257-261. https://doi.org/10.3390/e6020257

APA Style

Aydin, B. (2004). Statistical Convergent Topological Sequence Entropy Maps of the Circle. Entropy, 6(2), 257-261. https://doi.org/10.3390/e6020257

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