# Generalized (c, d)-Entropy and Aging Random Walks

@article{Hanel2013GeneralizedD, title={Generalized (c, d)-Entropy and Aging Random Walks}, author={Rudolf Hanel and Stefan Thurner}, journal={Entropy}, year={2013}, volume={15}, pages={5324-5337} }

Complex systems are often inherently non-ergodic and non-Markovian and Shannon entropy loses its applicability. Accelerating, path-dependent and aging random walks offer an intuitive picture for non-ergodic and non-Markovian systems. It was shown that the entropy of non-ergodic systems can still be derived from three of the Shannon–Khinchin axioms and by violating the fourth, the so-called composition axiom. The corresponding entropy is of the form Sc,d ~ ∑iΓ(1 + d, 1 − cln pi) and depends on…

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