Ricci Curvature, Isoperimetry and a Non-additive Entropy
AbstractSearching for the dynamical foundations of Havrda-Charvát/Daróczy/ Cressie-Read/Tsallis non-additive entropy, we come across a covariant quantity called, alternatively, a generalized Ricci curvature, an N-Ricci curvature or a Bakry-Émery-Ricci curvature in the configuration/phase space of a system. We explore some of the implications of this tensor and its associated curvature and present a connection with the non-additive entropy under investigation. We present an isoperimetric interpretation of the non-extensive parameter and comment on further features of the system that can be probed through this tensor. View Full-Text
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Kalogeropoulos, N. Ricci Curvature, Isoperimetry and a Non-additive Entropy. Entropy 2015, 17, 1278-1308.
Kalogeropoulos N. Ricci Curvature, Isoperimetry and a Non-additive Entropy. Entropy. 2015; 17(3):1278-1308.Chicago/Turabian Style
Kalogeropoulos, Nikos. 2015. "Ricci Curvature, Isoperimetry and a Non-additive Entropy." Entropy 17, no. 3: 1278-1308.