The \(p\)-sphere and the geometric substratum of power-law probability distributions

DOI10.1016/j.physleta.2005.05.027zbMath1194.82004arXivcond-mat/0505161OpenAlexW1985207384MaRDI QIDQ936835

Angelo Plastino, Christophe Vignat

Publication date: 20 August 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0505161

zbMATH Keywords

power-lawsuniform distributionsBoltzmann distributions

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Foundations of equilibrium statistical mechanics (82B03)

Related Items (5)

Scale invariance and related properties of \(q\)-Gaussian systems ⋮ General distribution function for the superstatistics and new superstatistics with non-vanishing rth moments for even r ⋮ Tests for multiple regression based on simplicial depth ⋮ Geometry of distributions associated with Tsallis statistics and properties of relative entropy minimization ⋮ Uniform distributions and random variate generation over generalized \(l_p\) balls and spheres

Cites Work

• Possible generalization of Boltzmann-Gibbs statistics.
• Information theory, approximate time dependent solutions of Boltzmann's equation and Tsallis' entropy
• Escort Husimi distributions, Fisher information and nonextensivity
• $L_p$-norm uniform distribution
• The classical N-body problem within a generalized statistical mechanics
• Motion in a Constant Magnetic Field
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