Generalized Entropies: Renyi and Correlation Integral Approach

摘要

In the present paper the authors study a formal definition of the Renyi entropies211u001ewhich is analogous to a standard definition of the measure-theoretic entropy. The 211u001eRenyi entropies, defined in such a way, are metric invariant, i.e. two dynamical 211u001esystems isomorphic in the measure-theoretic sence, have equal Renyi entropies.