Nonextensive Entropy: Interdisciplinary Applications

By M. Gell-Mann, Constantino Tsallis. 2004

851 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/9761fec71c7c525c75ed27445606fc451560da24

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Citations in the corpus

Maximum Lq-likelihood estimation. (2010, unknown): “Maximum Lq-likelihood estimation, nonextensive entropy, asymptotic efficiency, exponential family, tail probability estimation.”
Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy (2006, methodology): “Well known examples in physics are: self gravitating systems, charged plasmas, Brownian particles in the presence of driving forces, and, more generally, non-equilibrium states of physical systems (Abe and Okamoto, 2001; Gell-Mann and Tsallis, 2004).”
INVARIANT KAPPA DISTRIBUTION IN SPACE PLASMAS OUT OF EQUILIBRIUM (2011, methodology): “(8) The Astrophysical Journal, 741:88 (28pp), 2011 November 10 Livadiotis & McComas Therefore, the escort probability distribution characterizes a system after its relaxation into a stationary state out of equilibrium (Gell-Mann & Tsallis 2004).”
Statistical mechanics and dynamics of solvable models with long-range interactions (2009, background): “As correctly pointed out by Tsallis and coworkers [162, 219], the presence of quasi-stationary states is tightly linked to the noncommutability of the infinite time limit with the thermodynamic limit for systems with long-range interactions.”
Beyond kappa distributions: Exploiting Tsallis statistical mechanics in space plasmas (2009, methodology): “We remark that the Tsallis partition function has to be settled as Zq = ~ Zq expq( bqUq) in order for the relations that connect the statistical mechanics with thermodynamics to be valid (for details, see Tsallis [1999] and Gell-Mann and Tsallis [2004]).”
A unified index to measure ecological diversity and species rarity (2008, background): “The focus of the application of this entropy lies on those systems for which the usual Shannon entropy does not work properly (Gell-Mann and Tsallis 2004, Europhysics News 2005).”
Nonextensive Information Theoretic Kernels on Measures (2009, methodology): “Nonextensive entropies have also been recently used in signal/image processing (Li et al., 2006) and other areas (Gell-Mann and Tsallis, 2004).”
Nonadditive entropy: The concept and its use (2008, background): “It has since then received a considerable amount of applications and verifications in natural, artificial and social systems [20,21,22,23,24].”