Abstract
In this paper, we follow an approach which considers the entropy of a dynamical system as a linear operator. We assign a linear operator on Lp spaces using a kernel entropy function. The case p = 2 is of special interest, since we may relate the entropy of the system in terms of the eigenvalues of the operator. The special case p = 1 also results in a local entropy map.
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The author would like to thank the referees for their comprehensive and useful comments which helped the improvement of this work to the present form.
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Rahimi, M. A Spectral Representation for the Entropy of Topological Dynamical Systems. J Dyn Control Syst 27, 573–584 (2021). https://doi.org/10.1007/s10883-020-09519-w
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DOI: https://doi.org/10.1007/s10883-020-09519-w