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期刊论文
Weak-mixing implies sensitive dependence
J. Math. Anal. Appl. 299(2004)300-304,-0001,():
Let X be a metric space, B the σ -algebra of Borel subsets of X, and μ a probability measure on (X,B). In this note, for a measure-preserving map T (respectively a measure-preserving semiflow ϕ) on (X,B,μ), we prove that if suppμ=X, and T (respectively ϕ) is weak-mixing, then T (respectively ϕ) has sensitive dependence. 2004 Elsevier Inc. All rights reserved.
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