Thermostatistics based on Kolmogorov-Nagumo averages: unifying framework for extensive and nonextensive generalizations

摘要

We show that extensive thermostatistics based on Renyi entropy and Kolmogorov-Nagumo averages can be expressed in terms of Tsallis nonextensive thermostatistics. We use this correspondence to generalize thermostatistics to a large class of Kolmogorov-Nagumo means and suitably adapted definitions of entropy. As an application, we reanalyze linguistic data discussed in a paper by Montemurro. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 39]