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The central limit theorem and chaos
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作者 NIU Ying-xuan 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2009年第2期230-236,共7页
Let X be a compact metric space studies some relationships between stochastic and f : X→ X be a continuous map. This paper and topological properties of dynamical systems. It is shown that if f satisfies the central... Let X be a compact metric space studies some relationships between stochastic and f : X→ X be a continuous map. This paper and topological properties of dynamical systems. It is shown that if f satisfies the central limit theorem, then f is topologically ergodic and / is sensitively dependent on initial conditions if and only if / is neither minimal nor equicontinuous. 展开更多
关键词 the central limit theorem topologically ergodic sensitive dependence on initial conditions min- imal EQUICONTINUOUS
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