标题： 一种修正的广义柯尔莫哥洛夫-辛钦类似熵和马尔可夫移位 显示英文标题

标题： A Revised Generalized Kolmogorov-Sinai-like Entropy and Markov Shifts

摘要： 在伯努利位移下，Meson和Vericat [J. Math. Phys. 37, 4480(1996)] 获得了广义的Tsallis意义下的Kolmogorov-Sinai熵。在本文中，我们提出了一种在马尔可夫位移下的修正广义Kolmogorov-Sinai-q熵。这种带有因子q的广义熵的形式是非扩展的。新的广义熵包含了经典Kolmogorov-Sinai熵、Renyi熵以及伯努利位移作为特例。应用广义熵，我们定性地讨论了其近似行为、熵率以及非扩展参数q的敏感值q^*，该值可能存在于区间(-2,2)附近，此时广义熵返回到经典的K-S熵。 显示英文摘要

摘要： The Kolmogorov-Sinai entropy in the sense of Tsallis under Bernoulli shifts was obtained by Meson and Vericat [J. Math. Phys. 37, 4480(1996)]. In this paper, we propose a revised generalized Kolmogorov-Sinai-q entropy under Markov shifts. The form of this generalized entropy with factor q is nonextensive. The new generalized entropy contains the classical Kolmogorov-Sinai entropy and Renyi entropy as well as Bernoulli shifts as special cases. Applying the generalized entropy we discuss its approximate behavior qualitatively, the entropy rate and the sensitive value q^* of the nonextensive parameter q, which may exit in the interval (-2,2) nearby where the generalized entropy return to the classical K-S entropy.