Extensivity and entropy production

By Constantino Tsallis, M. Gell-Mann, Yuzuru Sato. 2005

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Statistical inference using weak chaos and infinite memory (2010, methodology): “There is however an alternative definition of entropy specifically designed for systems with powerlaw growth in their complexity called the Tsallis entropy (Tsallis et al., 2006) defined as,”
On a q-Central Limit Theorem Consistent with Nonextensive Statistical Mechanics (2008, background): “These properties reflect the possible extensivity of the nonadditive entropy Sq in the presence of special correlations [17, 24, 26, 28, 29].”