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Generalized entropies. (English. Russian original) Zbl 0929.37001

Math. Notes 63, No. 1, 112-115 (1998); translation from Mat. Zametki 63, No. 1, 127-130 (1998).
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.

MSC:

37A25 Ergodicity, mixing, rates of mixing
37A35 Entropy and other invariants, isomorphism, classification in ergodic theory
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