The p−sphere and the geometric substratum of power law probability distributions
نویسنده
چکیده
Links between power law probability distributions and marginal distributions of uniform laws on p-spheres in R show that a mathematical derivation of the Boltzmann-Gibbs distribution necessarily passes through power law ones. Results are also given that link parameters p and n to the value of the nonextensivity parameter q that characterizes these power laws in the context of non-extensive statistics. PACS: 05.30.-d, 05.30.Jp
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