Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Revised version, to be published in Phys. Rev. Lett. (2000)

Scientific paper

10.1103/PhysRevLett.84.2770

The nonextensitivity parameter $q$ occuring in some of the applications of
Tsallis statistics (known also as index of the corresponding L\'evy
distribution) is shown to be given, in $q>1$ case, entirely by the fluctuations
of the parameters of the usual exponential distribution.

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