934 citations · 2k across the 24 of their papers we have counts for
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Incidence of -statistics in rank distributions
G. Cigdem Yalcin, Alberto Robledo, Murray Gell-Mann
We show that size-rank distributions with power-law decay (often only over a limited extent) observed in a vast number of instances in a widespread family of systems obey Tsallis s…
Generalized entropies and the transformation group of superstatistics
Rudolf Hanel, Stefan Thurner, Murray Gell-Mann
Superstatistics describes statistical systems that behave like superpositions of different inverse temperatures , so that the probability distribution is $p(ε_i) \propto \int_{0…
Generalization of symmetric -stable Lévy distributions for
Sabir Umarov, Constantino Tsallis, Murray Gell-Mann +1
The -stable distributions introduced by Lévy play an important role in probabilistic theoretical studies and their various applications, e.g., in statistical physics, life scien…
Symmetric -Stable Distributions. Part II: Second Representation
Sabir Umarov, Constantino Tsallis, Murray Gell-Mann +1
This paper is a continuation of papers \cite{UmarovTsallisSteinberg,UmarovTsallisGellmannSteinberg}. In Part I \cite{UmarovTsallisGellmannSteinberg} a description (representation)…
Symmetric -Stable Distributions. Part I: First Representation
Sabir Umarov, Constantino Tsallis, Murray Gell-Mann +1
The classic central limit theorem and -stable distributions play a key role in probability theory, and also in Boltzmann-Gibbs (BG) statistical mechanics. They both concern the…
Numerical indications of a q-generalised central limit theorem
Luis G. Moyano, Constantino Tsallis, Murray Gell-Mann
We provide numerical indications of the -generalised central limit theorem that has been conjectured (Tsallis 2004) in nonextensive statistical mechanics. We focus on binary…
Asymptotically scale-invariant occupancy of phase space makes the entropy Sq extensive
Constantino Tsallis, Murray Gell-Mann, Yuzuru Sato
Phase space can be constructed for equal and distinguishable subsystems that could be (probabilistically) either {\it weakly} (or {\it "locally"}) correlated (e.g., independent…