Fractal Shot Noise
Steven B. Lowen, Malvin C. Teich
Physical Review Letters , vol 63, no 17, 1755-1759 (1989)
Abstract
We define fractal shot noise, which is a stationary continuous-time
process that is fundamentally different from fractional Brownian
motion. Two applications in physics are considered: the mass
distribution of collections of solid-particle aggregates and the
electric field at the growing edge of a doped semiconductor
quantum wire. For a broad range of parameters, the amplitude
probability density function of this process is a Levy-stable
random variable with dimension less than unity; it therefore
does 
math properties of 1/f noise