On some stochastic properties in Devaney’s chaos

Salim Lardjane

Chaos, Solitons & Fractals, 2006, vol. 28, issue 3, 668-672

Abstract: The author complements recent results obtained by Xu et al. [Xu Z, Lin W, Ruan J. Decay of correlations implies chaos in the sense of Devaney. Chaos, Solitons & Fractals 2004;22:305–10, Wu C., Xu Z, Lin W, Ruan J. Stochastic properties in Devaney’s chaos. Chaos, Solitons & Fractals 2005;23:1195–9.] and Abraham et al. [Abraham C, Biau G, Cadre B. Chaotic properties of a mapping on a probability space. J Math Anal Appl 2002;266:420–31] on the links between several topological and stochastic properties of dynamical systems.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:3:p:668-672

DOI: 10.1016/j.chaos.2005.08.154

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