Furthermore, a version of Kolmogorov-Sinai theorem for logical entropy of a p -preserving system is established using the Rokhlin-type metric. In the last section, the obtained results are applied to develop the corresponding information theory. A notion of logical mutual information in the ...
Kolmogorov-Sinai熵是一个比较一般的概念，和动力系统、信息论关联更大，这里尝试提供一个直观的解释。设...
熵编码shāng biān mǎ entropy coding 熵俘获shāng fú huò entropy trapping 熵函数shāng hán shù entropy function 熵条件shāng tiáo jiàn entropy condition 熵通量shāng tōng liàng entropy flux 熵增加shāng zēng jiā entropy increase 熵增益shāng zēng yì entropy production 平均信息量píng jun1...
Kolmogorov熵,又称Kolmogorov-Sinai熵(KS熵)是Shannon熵的拓展概念。它定义在动力学过程而不是系统状态上,也就是说,其刻画的相空间是“动力学轨迹”。在赋予动力学轨迹以概率测度时,它是一种“轨道熵”,描述系统动力学的随机性大小。这种随机性在非线性动力学里与“混沌性”联系起来,有Pesin定理保证。 另一方面,...
物理/力学/动力系统,辛几何(微分拓扑/微分几何) KAM定理Kolmogorov–Sinai entropy遍历理论Kolmogorov 流 喜欢《三体》的同学,可以了解下三体系统的最伟大定理 "物理/流体力学-湍流大气物理,海洋物理,天文物理" 影响深远的2/3律、 scaling思想Kolmogorov microscalesKolmogorov 谱 5/3 law 在湍流、大气、海洋、天体重应...
It is shown that stringy matter near the event horizon of a Schwarzschild black hole exhibits chaotic behavior (the spreading effect) which can be characterized by the Kolmogorov-Sinai entropy. It is found that the Kolmogorov-Sinai entropy of a spreading string equals to the half of the inverse...
It is shown that instability of stringy matter near the event horizon of a black hole (the spreading effect) can be characterized by the Lyapunov exponents. The Kolmogorov-Sinai entropy is the sum of all the positive Lyapunov exponents and equals to the inverse gravitational radius. Due to a ...
因为定义中的极限和对η的上确界，测度熵很难用定义去算。Kolmogorov和Sinai的定理告诉我们，如果某个分...
2) dynamic-entropy 动态熵 1. In this algorithm,each step of test selection based on dynamic-entropy,combined with optimized selection of non-excess tests,the number of test and test point get the minimum. 测试性日益成为现代电子产品的重要性能指标,必须在系统研制初期进行测试性设计,从而在故障...
Allowing for the transition rate to vary, we show that the dynamical rules that maximize the entropy production and those that maximise the rate of variation of the dynamical entropy, known as the Kolmogorov-Sinai entropy coincide with good accuracy. We study the dependence of this agreement on ...