2007/04/21 by Qiang Liu, Liu, Qiang, Shou-Li Peng +1
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.0704.2814
openalex publication_date 2007/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.