This distribution is to be regarded as the natural q- deformation of the Gaussian. 1995 PACS numbers: 02.50.Cw, 05.40.+j, 03.65.Db, 42.50.Lc 1991 MSC numbers: 81S25, 33D90, 81Q10 1 1 Discover the …
calculated this q-Gaussian distribution q. For kfk…1, it is supported by the interval ƒ 2= p 1 q;2= p 1 q?, on which it is given by q—dx–… 1 ? q 1 qsin Y1 n…1 —1 qn–j1 qne2i j2 dx; (1) where 2ƒ0;??is such that x p 1 q…2cos . It is the purpose of this paper to understand this distribution in analytic terms,, 1/5/2015 · These distributions, sometimes referred to as q-Gaussians, are known to make, under appropriate constraints, extremal the functional S q (in its continuous version). Their q = 1 and q = 2 …
