A Class of Negatively Fractal Dimensional Gaussian Random Functions

Figure 1

Realizations of the EGC process for 𝛽=0.8, that is, 𝐻_EGC=0.6. (a) Realization for 𝛼=0.1, that is, 𝐷_EGC=1.95. (b) Realization for 𝛼=1, that is, 𝐷_EGC=1.5. (c) Realization for 𝛼=2, that is, 𝐷_EGC=1. (d) Realization for 𝛼=4, that is, 𝐷_EGC=0. (e) Realization for 𝛼=8, that is, 𝐷_EGC=−2. (f) Realization for 𝛼=16, that is, 𝐷_EGC=−6.

(a)

(b)

(c)

(d)

(e)

(f)