Entropy 2014, 16(7), 4044-4059; doi:10.3390/e16074044

Entropy and Its Discontents: A Note on Definitions

Received: 29 May 2014; in revised form: 27 June 2014 / Accepted: 8 July 2014 / Published: 17 July 2014
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Abstract: The routine definitions of Shannon entropy for both discrete and continuous probability laws show inconsistencies that make them not reciprocally coherent. We propose a few possible modifications of these quantities so that: (1) they no longer show incongruities; and (2) they go one into the other in a suitable limit as the result of a renormalization. The properties of the new quantities would slightly differ from that of the usual entropies in a few other respects.
Keywords: Shannon entropy; continuous and discrete probability laws; renormalization
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MDPI and ACS Style

Petroni, N.C. Entropy and Its Discontents: A Note on Definitions. Entropy 2014, 16, 4044-4059.

AMA Style

Petroni NC. Entropy and Its Discontents: A Note on Definitions. Entropy. 2014; 16(7):4044-4059.

Chicago/Turabian Style

Petroni, Nicola C. 2014. "Entropy and Its Discontents: A Note on Definitions." Entropy 16, no. 7: 4044-4059.

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