On the Connections of Generalized Entropies With Shannon and Kolmogorov–Sinai Entropies

Entropy

关键词: dynamical entropy;    Kolmogorov–Sinai entropy;   

DOI  :  10.3390/e16073732

来源: mdpi

【 摘 要 】

We consider the concept of generalized Kolmogorov–Sinai entropy, where instead of the Shannon entropy function, we consider an arbitrary concave function defined on the unit interval, vanishing in the origin. Under mild assumptions on this function, we show that this isomorphism invariant is linearly dependent on the Kolmogorov–Sinai entropy.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland