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GENERALIZATION OF THE MEAN-FIELD METHOD FOR POWER-LAW DISTRIBUTIONS

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Publication:5484840
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DOI10.1142/S0218127406014630zbMath1115.82324MaRDI QIDQ5484840

Kazuyuki Aihara, Taro Toyoizumi

Publication date: 21 August 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)


zbMATH Keywords

information geometry\(\alpha\)-divergencegeneralized statistical mechanics


Mathematics Subject Classification ID


Related Items (2)

A note on curvature of \(\alpha\)-connections of a statistical manifold ⋮ Integration of Stochastic Models by Minimizing α-Divergence




Cites Work

  • Unnamed Item
  • Gravothermal catastrophe and Tsallis' generalized entropy of self-gravitating systems
  • Generalized statistical mechanics and fully developed turbulence
  • Possible generalization of Boltzmann-Gibbs statistics.
  • Variational method in generalized statistical mechanics
  • Information geometry and Plefka's mean-field theory
  • Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999
  • Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system




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