
doi: 10.1007/bf02316149
The purpose of this note is to study Renyi entropies from the ergodic theory viewpoint. Applications of the Renyi entropies to dynamical systems seem to have first appeared in the physical literature in order to define chaotic behaviour numerically. Here the authors present an elegant and mathematically rigorous approach to Renyi entropies.
generalized entropy, correlation integral, ergodic theory, Renyi entropies, Ergodicity, mixing, rates of mixing, Entropy and other invariants, isomorphism, classification in ergodic theory, chaotic behaviour
generalized entropy, correlation integral, ergodic theory, Renyi entropies, Ergodicity, mixing, rates of mixing, Entropy and other invariants, isomorphism, classification in ergodic theory, chaotic behaviour
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