Nonextensive Statistical Mechanics

3.3 Correlations, Occupancy of Phase-Space, and Extensivity of S q 63Fig. 3.12 Representation of the q-product, Eq. (3.78), for q =−∞, −5, −2/3, 0, 1/4, 1, 2, ∞.Asit is visible, the squared region {0 ≤ x ≤ 1, 0 ≤ y ≤ 1} is gradually integrated into the nontrivialdomain as q increases up to q = 1. From this value on, a new prohibited region appears, but thistime coming from large values of (|x|, |y|). This region reaches its maximum when q =∞.Inthiscase, the domain is composed by a horizontal and vertical strip of width 1.